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Author ID: hilhorst.danielle Recent zbMATH articles by "Hilhorst, Danielle"
Published as: Hilhorst, D.; Hilhorst, Danielle
Further Spellings: Hilhorst-Goldman, Danielle; Goldman-Hilhorst, Danielle
Homepage: https://www.math.u-psud.fr/~hilhorst/
External Links: MGP · Google Scholar · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

3 single-authored
34 Mimura, Masayasu
16 Bertsch, Michiel
16 Eymard, Robert
13 Peletier, Lambertus Adrianus
9 Logak, Elisabeth
9 Matano, Hiroshi
7 Nguyen, Thanh Nam
6 Diekmann, Odo
6 Gurtin, Morton Edward
6 Henry, Marie
6 Issard-Roch, Françoise
6 Schatzle, Reiner
6 van der Hout, Rein
5 Brenner, Konstantin
5 Dancer, Edward Norman
5 Ninomiya, Hirokazu
5 Weidenfeld, Rémi
4 Alfaro, Matthieu
4 Berestycki, Henri
4 Brochet, D.
4 Crooks, Elaine C. M.
4 Feireisl, Eduard
4 Funaki, Tadahisa
4 Gallouët, Thierry
4 Gao, Yueyuan
4 Gutnic, Michaël
4 Herbin, Raphaèle
4 Kim, Yongjung
4 Merle, Frank
4 Pakdaman, Khashayar
4 van Duijn, Cornelis Johannes
4 Vohralík, Martin
3 Abergel, Frédéric
3 Bonami, Aline
3 Chen, Xinfu
3 Dupaix, Cédric
3 Eliaš, Ján
3 Hulshof, Josephus
3 Iida, Masato
3 Izuhara, Hirofumi
3 Kettani, Perla El
3 Nishiura, Yasumasa
3 Olech, Michał
3 Park, Hyunjoon
3 Peletier, Mark Adriaan
3 Seidman, Thomas I.
3 Vu Do, Huy Cuong
2 Cancès, Clément
2 Chipot, Michel
2 Colli, Pierluigi
2 Daïm, Fatima-Zohra
2 Gilardi, Gianni
2 Goncerzewicz, Jan
2 Hong, J. R. Chan
2 Kersner, Robert
2 Kinderlehrer, David
2 King, John Robert
2 Laurençot, Philippe
2 Martin, Sébastien
2 Morita, Yoshihisa
2 Murakawa, Hideki
2 Novick-Cohen, Amy
2 Ohnishi, Isamu
2 Petzeltová, Hana
2 Radkevich, Evgeniĭ Vladimirovich
2 Röger, Matthias
2 Roux, Pierre
2 Rybka, Piotr
2 Sethuraman, Sunder
2 Takáč, Peter
2 Wakasa, Tohru
2 Weber, Hendrik
1 Angelini, Ophélie
1 Audusse, Emmanuel
1 Bates, Peter W.
1 Beneš, Michal
1 Biler, Piotr
1 Bothe, Dieter
1 Bouillard, Nicolas
1 Boussaïd, Samira
1 Boyaval, Sébastien
1 Bronsard, Lia
1 Celiński, Rafał
1 Chan Hong, J. R.
1 Contento, Lorenzo
1 Decarreau, Andrée
1 Demongeot, Jacques
1 Díaz Díaz, Jesús Ildefonso
1 Droniou, Jérôme
1 Fekken, A.
1 Fife, Paul C.
1 Garcke, Harald
1 Girardin, Léo
1 Goto, Yukie
1 Hilhorst, Hendrik Jan
1 Hongfei, Zhang
1 Kampmann, Johannes
1 Kang, Seungmin
1 Karali, Georgia D.
1 Kerckhoffs, Eugene J. H.
...and 31 more Co-Authors
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Serials

9 Discrete and Continuous Dynamical Systems
7 Journal of Differential Equations
6 SIAM Journal on Mathematical Analysis
6 Nonlinear Analysis. Theory, Methods & Applications
5 Applied Mathematics Letters
5 Networks and Heterogeneous Media
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Biology
4 European Journal of Applied Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
3 Applicable Analysis
3 Journal of Statistical Physics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Advances in Differential Equations
3 Interfaces and Free Boundaries
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series S
2 Hiroshima Mathematical Journal
2 Numerische Mathematik
2 Differential and Integral Equations
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Communications in Partial Differential Equations
2 Journal of Dynamics and Differential Equations
2 Advances in Mathematical Sciences and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Computational Geosciences
2 Differential Equations and Applications
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 Mathematical Methods in the Applied Sciences
1 Colloquium Mathematicum
1 Hokkaido Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Proceedings of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Numerical Methods for Partial Differential Equations
1 Asymptotic Analysis
1 Japan Journal of Industrial and Applied Mathematics
1 Acta Mathematica Universitatis Comenianae. New Series
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Optimization
1 Topological Methods in Nonlinear Analysis
1 Simulation Practice and Theory
1 Electronic Journal of Differential Equations (EJDE)
1 Journal of Mathematical Sciences. University of Tokyo
1 NoDEA. Nonlinear Differential Equations and Applications
1 Doklady Mathematics
1 Computing and Visualization in Science
1 Vietnam Journal of Mathematics
1 Taiwanese Journal of Mathematics
1 Journal of Mathematical Study
1 Interdisciplinary Information Sciences (IIS)
1 Journal of Evolution Equations
1 Advanced Nonlinear Studies
1 Communications on Pure and Applied Analysis
1 International Journal of Numerical Analysis and Modeling
1 Mathematical Modelling of Natural Phenomena
1 Evolution Equations and Control Theory
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Tunisian Journal of Mathematics
1 Electronic Research Archive

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 1,621 times in 1,095 Documents Cited by Year
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A.
69
1999
Finite dimensional exponential attractor for the phase field model. Zbl 0790.35052
Brochet, D.; Hilhorst, D.; Chen, Xinfu
63
1993
A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Zbl 1108.65099
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
59
2006
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
56
2015
The finite volume method for Richards equation. Zbl 0953.76060
Eymard, Robert; Gutnic, Michaël; Hilhorst, Danielle
50
1999
Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
48
2010
A competition-diffusion system approximation to the classical two-phase Stefan problem. Zbl 0980.35178
Hilhorst, Danielle; Iida, Masato; Mimura, Masayasu; Ninomiya, Hirokazu
46
2001
Formal asymptotic limit of a diffuse-interface tumor-growth model. Zbl 1317.35123
Hilhorst, Danielle; Kampmann, Johannes; Nguyen, Thanh Nam; van der Zee, Kristoffer George
45
2015
Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions. Zbl 1079.35008
Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.; Mimura, M.; Ninomiya, H.
43
2004
On interacting populations that disperse to avoid crowding: preservation of segregation. Zbl 0596.35074
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
42
1985
Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015
Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz
38
1994
Vanishing latent heat limit in a Stefan-like problem arising in biology. Zbl 1049.92035
Hilhorst, Danielle; Mimura, Masayasu; Schätzle, Reiner
38
2003
A reaction-diffusion system with fast reversible reaction. Zbl 1039.35013
Bothe, D.; Hilhorst, D.
37
2003
A nonlinear parabolic-hyperbolic system for contact inhibition of cell-growth. Zbl 1238.35161
Bertsch, Michiel; Hilhorst, Danielle; Izuhara, Hirofumi; Mimura, Masayasu
35
2012
The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system. Zbl 1154.35006
Alfaro, Matthieu; Hilhorst, Danielle; Matano, Hiroshi
35
2008
Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure. Zbl 1392.76035
Brenner, Konstantin; Cancès, Clément; Hilhorst, Danielle
33
2013
The fast reaction limit for a reaction-diffusion system. Zbl 0865.35063
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
31
1996
Maximal attractor and inertial sets for a conserved phase field model. Zbl 0853.35052
Brochet, D.; Hilhorst, D.; Novick-Cohen, A.
25
1996
On the slow dynamics for the Cahn-Hilliard equation in one space dimension. Zbl 0777.35007
Bronsard, Lia; Hilhorst, Danielle
24
1992
The Nishiura-Ohnishi free boundary problem in the 1D case. Zbl 1077.35121
Fife, Paul C.; Hilhorst, Danielle
23
2001
A density dependent diffusion equation in population dynamics: stabilization to equilibrium. Zbl 0607.35052
Bertsch, M.; Hilhorst, D.
22
1986
Dual methods in entropy maximization. Application to some problems in crystallography. Zbl 0805.49022
Decarreau, Andrée; Hilhorst, Danielle; Lemaréchal, Claude; Navaza, Jorge
22
1992
Finite volumes and nonlinear diffusion equations. Zbl 0914.65101
Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y.
21
1998
Nonlinear diffusion in the presence of fast reaction. Zbl 0963.35103
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
20
2000
Disappearing interfaces in nonlinear diffusion. Zbl 0891.35071
Guedda, M.; Hilhorst, D.; Peletier, M. A.
20
1997
On interacting populations that disperse to avoid crowding: The effect of a sedentary colony. Zbl 0538.92020
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
20
1984
On a degenerate diffusion equation of the form \(c(z)_ t=\phi (z_ x)_ x\) with application to population dynamics. Zbl 0624.35049
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.
19
1987
Finite-dimensional exponential attractor for a model for order-disorder and phase separation. Zbl 0803.35076
Brochet, D.; Hilhorst, D.; Novick-Cohen, A.
19
1994
A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation. Zbl 1259.65132
Angelini, Ophélie; Brenner, Konstantin; Hilhorst, Danielle
19
2013
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
18
2000
On interacting populations that disperse to avoid crowding: The case of equal dispersal velocities. Zbl 0646.92018
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.
18
1987
Asymptotic behavior of solutions of an Allen-Cahn equation with a nonlocal term. Zbl 0883.35013
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
17
1997
A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids. Zbl 1192.65117
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
17
2010
Diffusion in the presence of fast reaction: The case of a general monotone reaction term. Zbl 0905.35045
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
16
1997
Universal attractor and inertial sets for the phase field model. Zbl 0773.35028
Brochet, D.; Hilhorst, D.
16
1991
Fast reaction limit of competition-diffusion systems. Zbl 1191.35004
Hilhorst, Danielle; Mimura, Masayasu; Ninomiya, Hirokazu
15
2009
Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term. Zbl 0936.35091
Nakamura, K.-I.; Matano, H.; Hilhorst, D.; Schätzle, R.
14
1999
Well-posedness of a moving boundary problem arising in a dissolution- growth process. Zbl 0714.35088
Conrad, F.; Hilhorst, D.; Seidman, T. I.
14
1990
On a doubly nonlinear diffusion equation in hydrology. Zbl 0654.35049
van Duyn, C. J.; Hilhorst, D.
13
1987
An elliptic-parabolic problem in combustion theory: Convergence to travelling waves. Zbl 0761.35114
Hilhorst, D.; Hulshof, J.
13
1991
Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions. Zbl 1139.35049
Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.
13
2007
On a nonlocal diffusion equation with discontinuous reaction. Zbl 0990.35058
Hilhorst, Danielle; Rodrigues, José-Francisco
12
2000
\(\Gamma\)-limit for the extended Fisher-Kolmogorov equation. Zbl 1001.35010
Hilhorst, D.; Peletier, L. A.; Schätzle, R.
12
2002
Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure. Zbl 1110.35033
Daïm, F. Z.; Eymard, R.; Hilhorst, D.
12
2007
A free boundary problem arising in some reacting-diffusing system. Zbl 0752.35093
Hilhorst, D.; Nishiura, Y.; Mimura, M.
12
1991
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation. Zbl 1204.35026
Alfaro, Matthieu; Garcke, Harald; Hilhorst, Danielle; Matano, Hiroshi; Schätzle, Reiner
12
2010
The viscous Cahn-Hilliard equation as a limit of the phase field model: Lower semicontinuity of the attractor. Zbl 0935.35018
Dupaix, C.; Hilhorst, D.; Kostin, I. N.
11
1999
Approximation by the finite volume method of an elliptic-parabolic equation arising in environmental studies. Zbl 1173.76359
Eymard, R.; Gallouët, T.; Herbin, R.; Gutnic, M.; Hilhorst, D.
11
2001
The interface between regions where u \(<\) 0 and u \(>\) 0 in the porous medium equation. Zbl 0675.76094
Bertsch, M.; Hilhorst, D.
10
1991
Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system. Zbl 1133.35057
Hilhorst, D.; Karali, G.; Matano, H.; Nakashima, K.
10
2007
Convergence to a viscosity solution for an advection-reaction-diffusion equation arising from a chemotaxis-growth model. Zbl 1157.35405
Henry, Marie; Hilhorst, Danielle; Schätzle, Reiner
9
1999
Singular limit of a chemotaxis-growth model. Zbl 1016.35034
Bonami, A.; Hilhorst, D.; Logak, E.; Mimura, M.
9
2001
A stochastic mass conserved reaction-diffusion equation with nonlinear diffusion. Zbl 1401.60122
Kettani, Perla El; Hilhorst, Danielle; Lee, Kai
9
2018
A reaction-diffusion system approximation of a one-phase Stefan problem. Zbl 1054.35019
Eymard, R.; Hilhorst, D.; van der Hout, R.; Peletier, L. A.
9
2001
Mathematical analysis of a model describing the invasion of bacteria in burn wounds. Zbl 1117.35036
Hilhorst, D.; King, J. R.; Röger, M.
9
2007
A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids. Zbl 1225.76212
Hilhorst, Danielle; Vohralík, Martin
8
2011
A mathematical study of the one-dimensional Keller and Rubinow model for Liesegang bands. Zbl 1180.35287
Hilhorst, D.; van der Hout, R.; Mimura, M.; Ohnishi, I.
8
2009
On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions. Zbl 1146.35014
Crooks, Elaine C. M.; Dancer, E. Norman; Hilhorst, Danielle
8
2007
Fast reaction limits and Liesegang bands. Zbl 1119.35330
Hilhorst, D.; van der Hout, R.; Mimura, M.; Ohnishi, I.
8
2007
A free boundary problem arising in a chemotaxis model. Zbl 0869.35115
Bonami, A.; Hilhorst, D.; Logak, E.; Mimura, M.
7
1996
The well-posedness of a free boundary problem for Burgers’ equation. Zbl 0822.35115
Bertsch, M.; Hilhorst, D.; Schmidt-Lainé, Cl.
7
1994
Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed. Zbl 1381.35088
Hilhorst, Danielle; Kim, Yong-Jung
7
2016
Interface dynamics of the Fisher equation with degenerate diffusion. Zbl 1173.35075
Hilhorst, D.; Kersner, R.; Logak, E.; Mimura, M.
7
2008
Relative compactness in \(L^p\) of solutions of some \(2m\) components competition-diffusion systems. Zbl 1149.35361
Hilhorst, Danielle; Iida, Masato; Mimura, Masayasu; Ninomiya, Hirokazu
7
2008
Travelling wave solutions of a parabolic-hyperbolic system for contact inhibition of cell-growth. Zbl 1383.92023
Bertsch, M.; Hilhorst, D.; Izuhara, H.; Mimura, M.; Wakasa, T.
6
2015
On a dissolution-growth problem with surface tension in the neighborhood of a stationary solution. Zbl 0812.35053
Abergel, F.; Hilhorst, D.; Issard-Roch, F.
6
1993
On a reaction-diffusion system for a population of hunters and farmers. Zbl 1057.35075
Hilhorst, Danielle; Mimura, Masayasu; Weidenfeld, Rémi
6
2003
On a nonlinear diffusion system with resource-consumer interaction. Zbl 1053.35060
Feireisl, E.; Hilhorst, D.; Mimura, M.; Weidenfeld, R.
6
2003
Global attractor and inertial sets for a nonlocal Kuramoto-Sivashinsky equation. Zbl 1060.35021
Hilhorst, D.; Peletier, L. A.; Rotariu, A. I.; Sivashinsky, G.
6
2004
Singular limit of a second order nonlocal parabolic equation of conservative type arising in the micro-phase separation of diblock copolymers. Zbl 1041.35008
Henry, M.; Hilhorst, D.; Nishiura, Y.
6
2003
Dispersal towards food: the singular limit of an Allen-Cahn equation. Zbl 1392.92013
Hilhorst, Danielle; Kim, Yong-Jung; Kwon, Dohyun; Nguyen, Thanh Nam
5
2018
On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation. Zbl 1350.35032
Hilhorst, Danielle; Matano, Hiroshi; Nguyen, Thanh Nam; Weber, Hendrik
5
2016
A free boundary focusing problem. Zbl 0805.35164
Hilhorst, Danielle; Hulshof, Josephus
5
1994
On a free-boundary problem for Burgers equation: The large-time behaviour. Zbl 0890.35060
Bertsch, M.; Hilhorst, D.
5
1997
Singular limit of a competition-diffusion system with large interspecific interaction. Zbl 1236.35208
Hilhorst, Danielle; Martin, Sébastien; Mimura, Masayasu
5
2012
Long time convergence for a class of variational phase-field models. Zbl 1178.35065
Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio
5
2009
Existence theorem for a model of dryland vegetation. Zbl 1230.35140
Goto, Yukie; Hilhorst, Danielle; Meron, Ehud; Temam, Roger
5
2011
Convergence to steady state for the solutions of a nonlocal reaction-diffusion equation. Zbl 1433.35190
Boussaïd, Samira; Hilhorst, Danielle; Nguyen, Thanh Nam
5
2015
Singular limit for a reaction-diffusion-ODE system in a Neolithic transition model. Zbl 1475.35351
Eliaš, Ján; Hilhorst, Danielle; Mimura, Masayasu; Morita, Yoshihisa
5
2021
A gradient scheme for the discretization of Richards equation. Zbl 1426.76341
Brenner, Konstantin; Hilhorst, Danielle; Vu Do, Huy Cuong
4
2014
Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052
Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M.
4
1999
Upper-semicontinuity of the attractor for a singularly perturbed phase field model. Zbl 0905.35015
Dupaix, C.; Hilhorst, D.; Laurençot, Ph.
4
1998
A reaction-diffusion system approximation to the two-phase Stefan problem. Zbl 1042.35572
Hilhorst, Danielle; Iida, Masato; Mimura, Masayasu; Ninomiya, Hirokazu
4
2001
The one-dimensional porous medium equation with convection: Continuous differentiability of interfaces after the waiting time. Zbl 0777.35033
Guedda, M.; Hilhorst, D.; Picard, C.
4
1992
Contraction in \(L^{1}\) for a system arising in chemical reactions and molecular motors. Zbl 1171.35408
Chipot, Michel; Hilhorst, Danielle; Kinderlehrer, David; Olech, Michał
4
2009
A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396
Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D.
4
2009
Mathematical analysis of variable density flows in porous media. Zbl 1376.35090
Feireisl, Eduard; Hilhorst, Danielle; Petzeltová, Hana; Takáč, Peter
4
2016
Numerical approximation of a reaction-diffusion system with fast reversible reaction. Zbl 1206.35018
Eymard, Robert; Hilhorst, Danielle; Murakawa, Hideki; Olech, Michal
4
2010
A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher-KPP equation. Zbl 1435.35126
Bertsch, Michiel; Hilhorst, Danielle; Izuhara, Hirofumi; Mimura, Masayasu; Wakasa, Tohru
4
2020
The finite volume method for an elliptic-parabolic equation. Zbl 0930.35082
Eymard, R.; Gutnic, M.; Hilhorst, D.
3
1998
The generalized finite volume SUSHI scheme for the discretization of Richards equation. Zbl 1348.35093
Brenner, Konstantin; Hilhorst, Danielle; Vu-Do, Huy-Cuong
3
2016
Convergence of a finite volume scheme for a stochastic conservation law involving a \(Q\)-Brownian motion. Zbl 1395.65038
Funaki, Tadahisa; Gao, Yueyuan; Hilhorst, Danielle
3
2018
The interface between fresh and salt groundwater: A numerical study. Zbl 0676.76086
Chan Hong, J. R.; van Duijn, C. J.; Hilhorst, D.; van Kester, J.
3
1989
Mean curvature interface limit from Glauber+Zero-range interacting particles. Zbl 1502.60157
Kettani, Perla El; Funaki, Tadahisa; Hilhorst, Danielle; Park, Hyunjoon; Sethuraman, Sunder
3
2022
Self-similar fast-reaction limits for reaction-diffusion systems on unbounded domains. Zbl 1375.35254
Crooks, E. C. M.; Hilhorst, D.
3
2016
Generation of interface for an Allen-Cahn equation with nonlinear diffusion. Zbl 1201.35118
Alfaro, M.; Hilhorst, D.
3
2010
A finite volume method for density driven flows in porous media. Zbl 1329.76207
Hilhorst, Danielle; Do, Huy Cuong Vu; Wang, Yushan
2
2012
Numerical simulations of the inviscid Burgers equation with periodic boundary conditions and stochastic forcing. Zbl 1334.35445
Audusse, Emmanuel; Boyaval, Sébastien; Gao, Yueyuan; Hilhorst, Danielle
2
2015
On some asymptotic limits of the Fisher equation with degenerate diffusion. Zbl 0979.35076
Hilhorst, D.; Kersner, R.; Logak, E.; Mimura, M.
2
2000
Interior layers and the regularization of the Verigin-Muskat classical problem. Zbl 0962.35197
Hilhorst, D.; Radkevich, E. V.
2
1998
Mean curvature interface limit from Glauber+Zero-range interacting particles. Zbl 1502.60157
Kettani, Perla El; Funaki, Tadahisa; Hilhorst, Danielle; Park, Hyunjoon; Sethuraman, Sunder
3
2022
Singular limit of an Allen-Cahn equation with nonlinear diffusion. Zbl 1507.35018
El Kettani, Perla; Funaki, Tadahisa; Hilhorst, Danielle; Park, Hyunjoon; Sethuraman, Sunder
1
2022
Singular limit for a reaction-diffusion-ODE system in a Neolithic transition model. Zbl 1475.35351
Eliaš, Ján; Hilhorst, Danielle; Mimura, Masayasu; Morita, Yoshihisa
5
2021
Mathematical treatment of PDE model of chemotactic E. coli colonies. Zbl 1457.35089
Celiński, Rafał; Hilhorst, Danielle; Karch, Grzegorz; Mimura, Masayasu; Roux, Pierre
2
2021
A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher-KPP equation. Zbl 1435.35126
Bertsch, Michiel; Hilhorst, Danielle; Izuhara, Hirofumi; Mimura, Masayasu; Wakasa, Tohru
4
2020
Generation of interface for solutions of the mass conserved Allen-Cahn equation. Zbl 1447.35029
Hilhorst, Danielle; Matano, Hiroshi; Nguyen, Thanh Nam; Weber, Hendrik
1
2020
Existence and uniqueness of the entropy solution of a stochastic conservation law with a \(Q\)-Brownian motion. Zbl 1451.60065
Funaki, Tadahisa; Gao, Yueyuan; Hilhorst, Danielle
1
2020
A stochastic mass conserved reaction-diffusion equation with nonlinear diffusion. Zbl 1401.60122
Kettani, Perla El; Hilhorst, Danielle; Lee, Kai
9
2018
Dispersal towards food: the singular limit of an Allen-Cahn equation. Zbl 1392.92013
Hilhorst, Danielle; Kim, Yong-Jung; Kwon, Dohyun; Nguyen, Thanh Nam
5
2018
Convergence of a finite volume scheme for a stochastic conservation law involving a \(Q\)-Brownian motion. Zbl 1395.65038
Funaki, Tadahisa; Gao, Yueyuan; Hilhorst, Danielle
3
2018
Large time behaviour of the solution of a nonlinear diffusion problem in anthropology. Zbl 1424.35218
Elias, Jan; Hilhorst, Danielle; Mimura, Masayasu
2
2018
Ecological invasion in competition-diffusion systems when the exotic species is either very strong or very weak. Zbl 1406.35425
Contento, Lorenzo; Hilhorst, Danielle; Mimura, Masayasu
2
2018
A multiple scale pattern formation cascade in reaction-diffusion systems of activator-inhibitor type. Zbl 1393.35098
Henry, Marie; Hilhorst, Danielle; Muratov, Cyrill B.
1
2018
Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed. Zbl 1381.35088
Hilhorst, Danielle; Kim, Yong-Jung
7
2016
On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation. Zbl 1350.35032
Hilhorst, Danielle; Matano, Hiroshi; Nguyen, Thanh Nam; Weber, Hendrik
5
2016
Mathematical analysis of variable density flows in porous media. Zbl 1376.35090
Feireisl, Eduard; Hilhorst, Danielle; Petzeltová, Hana; Takáč, Peter
4
2016
The generalized finite volume SUSHI scheme for the discretization of Richards equation. Zbl 1348.35093
Brenner, Konstantin; Hilhorst, Danielle; Vu-Do, Huy-Cuong
3
2016
Self-similar fast-reaction limits for reaction-diffusion systems on unbounded domains. Zbl 1375.35254
Crooks, E. C. M.; Hilhorst, D.
3
2016
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
56
2015
Formal asymptotic limit of a diffuse-interface tumor-growth model. Zbl 1317.35123
Hilhorst, Danielle; Kampmann, Johannes; Nguyen, Thanh Nam; van der Zee, Kristoffer George
45
2015
Travelling wave solutions of a parabolic-hyperbolic system for contact inhibition of cell-growth. Zbl 1383.92023
Bertsch, M.; Hilhorst, D.; Izuhara, H.; Mimura, M.; Wakasa, T.
6
2015
Convergence to steady state for the solutions of a nonlocal reaction-diffusion equation. Zbl 1433.35190
Boussaïd, Samira; Hilhorst, Danielle; Nguyen, Thanh Nam
5
2015
Numerical simulations of the inviscid Burgers equation with periodic boundary conditions and stochastic forcing. Zbl 1334.35445
Audusse, Emmanuel; Boyaval, Sébastien; Gao, Yueyuan; Hilhorst, Danielle
2
2015
A gradient scheme for the discretization of Richards equation. Zbl 1426.76341
Brenner, Konstantin; Hilhorst, Danielle; Vu Do, Huy Cuong
4
2014
Singular limit of a damped wave equation with a bistable nonlinearity. Zbl 1308.35022
Hilhorst, Danielle; Nara, Mitsunori
2
2014
Front propagation in nonlinear parabolic equations. Zbl 1315.35018
Feireisl, Eduard; Hilhorst, Danielle; Petzeltová, Hana; Takáč, Peter
2
2014
Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium. Zbl 1307.35138
Hilhorst, Danielle; Murakawa, Hideki
2
2014
Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure. Zbl 1392.76035
Brenner, Konstantin; Cancès, Clément; Hilhorst, Danielle
33
2013
A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation. Zbl 1259.65132
Angelini, Ophélie; Brenner, Konstantin; Hilhorst, Danielle
19
2013
A nonlinear parabolic-hyperbolic system for contact inhibition of cell-growth. Zbl 1238.35161
Bertsch, Michiel; Hilhorst, Danielle; Izuhara, Hirofumi; Mimura, Masayasu
35
2012
Singular limit of a competition-diffusion system with large interspecific interaction. Zbl 1236.35208
Hilhorst, Danielle; Martin, Sébastien; Mimura, Masayasu
5
2012
A finite volume method for density driven flows in porous media. Zbl 1329.76207
Hilhorst, Danielle; Do, Huy Cuong Vu; Wang, Yushan
2
2012
Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero. Zbl 1364.35118
Eymard, Robert; Henry, Marie; Hilhorst, Danielle
2
2012
A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids. Zbl 1225.76212
Hilhorst, Danielle; Vohralík, Martin
8
2011
Existence theorem for a model of dryland vegetation. Zbl 1230.35140
Goto, Yukie; Hilhorst, Danielle; Meron, Ehud; Temam, Roger
5
2011
A convergent finite volume scheme for two-phase flows in porous media with discontinuous capillary pressure field. Zbl 1246.76145
Brenner, K.; Cancès, C.; Hilhorst, D.
2
2011
A reaction-diffusion approximation to an area preserving mean curvature flow coupled with a bulk equation. Zbl 1207.35189
Henry, Marie; Hilhorst, Danielle; Mimura, Masayasu
1
2011
Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
48
2010
A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids. Zbl 1192.65117
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
17
2010
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation. Zbl 1204.35026
Alfaro, Matthieu; Garcke, Harald; Hilhorst, Danielle; Matano, Hiroshi; Schätzle, Reiner
12
2010
Numerical approximation of a reaction-diffusion system with fast reversible reaction. Zbl 1206.35018
Eymard, Robert; Hilhorst, Danielle; Murakawa, Hideki; Olech, Michal
4
2010
Generation of interface for an Allen-Cahn equation with nonlinear diffusion. Zbl 1201.35118
Alfaro, M.; Hilhorst, D.
3
2010
Fast reaction limit of competition-diffusion systems. Zbl 1191.35004
Hilhorst, Danielle; Mimura, Masayasu; Ninomiya, Hirokazu
15
2009
A mathematical study of the one-dimensional Keller and Rubinow model for Liesegang bands. Zbl 1180.35287
Hilhorst, D.; van der Hout, R.; Mimura, M.; Ohnishi, I.
8
2009
Long time convergence for a class of variational phase-field models. Zbl 1178.35065
Colli, Pierluigi; Hilhorst, Danielle; Issard-Roch, Françoise; Schimperna, Giulio
5
2009
Contraction in \(L^{1}\) for a system arising in chemical reactions and molecular motors. Zbl 1171.35408
Chipot, Michel; Hilhorst, Danielle; Kinderlehrer, David; Olech, Michał
4
2009
A fast precipitation and dissolution reaction for a reaction-diffusion system arising in a porous medium. Zbl 1167.35396
Bouillard, N.; Eymard, R.; Henry, M.; Herbin, R.; Hilhorst, D.
4
2009
Peak solutions for the Dirichlet problem of an elliptic system. Zbl 1178.35365
Dancer, Edward N.; Hilhorst, Danielle; Yan, Shusen
2
2009
The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system. Zbl 1154.35006
Alfaro, Matthieu; Hilhorst, Danielle; Matano, Hiroshi
35
2008
Interface dynamics of the Fisher equation with degenerate diffusion. Zbl 1173.35075
Hilhorst, D.; Kersner, R.; Logak, E.; Mimura, M.
7
2008
Relative compactness in \(L^p\) of solutions of some \(2m\) components competition-diffusion systems. Zbl 1149.35361
Hilhorst, Danielle; Iida, Masato; Mimura, Masayasu; Ninomiya, Hirokazu
7
2008
Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions. Zbl 1139.35049
Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.
13
2007
Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure. Zbl 1110.35033
Daïm, F. Z.; Eymard, R.; Hilhorst, D.
12
2007
Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system. Zbl 1133.35057
Hilhorst, D.; Karali, G.; Matano, H.; Nakashima, K.
10
2007
Mathematical analysis of a model describing the invasion of bacteria in burn wounds. Zbl 1117.35036
Hilhorst, D.; King, J. R.; Röger, M.
9
2007
On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions. Zbl 1146.35014
Crooks, Elaine C. M.; Dancer, E. Norman; Hilhorst, Danielle
8
2007
Fast reaction limits and Liesegang bands. Zbl 1119.35330
Hilhorst, D.; van der Hout, R.; Mimura, M.; Ohnishi, I.
8
2007
Travelling-wave analysis of a model describing tissue degradation by bacteria. Zbl 1130.92031
Hilhorst, D.; King, J. R.; Röger, M.
2
2007
A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Zbl 1108.65099
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
59
2006
Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions. Zbl 1079.35008
Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.; Mimura, M.; Ninomiya, H.
43
2004
Global attractor and inertial sets for a nonlocal Kuramoto-Sivashinsky equation. Zbl 1060.35021
Hilhorst, D.; Peletier, L. A.; Rotariu, A. I.; Sivashinsky, G.
6
2004
Interface dynamics for an anisotropic Allen-Cahn equation. Zbl 1066.35015
Beneš, Michal; Hilhorst, Danielle; Weidenfeld, Rémi
2
2004
Large time behavior of the solutions to a one-dimensional Stefan problem with a kinetic condition at the free boundary. Zbl 1072.35205
Hilhorst, D.; Issard-Roch, F.; Roquejoffre, J. M.
1
2004
Combined nonconforming/mixed-hybrid finite element-finite volume scheme for degenerate parabolic problems. Zbl 1056.65078
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin
1
2004
Vanishing latent heat limit in a Stefan-like problem arising in biology. Zbl 1049.92035
Hilhorst, Danielle; Mimura, Masayasu; Schätzle, Reiner
38
2003
A reaction-diffusion system with fast reversible reaction. Zbl 1039.35013
Bothe, D.; Hilhorst, D.
37
2003
On a reaction-diffusion system for a population of hunters and farmers. Zbl 1057.35075
Hilhorst, Danielle; Mimura, Masayasu; Weidenfeld, Rémi
6
2003
On a nonlinear diffusion system with resource-consumer interaction. Zbl 1053.35060
Feireisl, E.; Hilhorst, D.; Mimura, M.; Weidenfeld, R.
6
2003
Singular limit of a second order nonlocal parabolic equation of conservative type arising in the micro-phase separation of diblock copolymers. Zbl 1041.35008
Henry, M.; Hilhorst, D.; Nishiura, Y.
6
2003
Convergence of a finite-volume mixed finite-element method for an elliptic-hyperbolic system. Zbl 1040.76034
Droniou, J.; Eymard, R.; Hilhorst, D.; Zhou, X. D.
2
2003
Singular limit of a class of non-cooperative reaction-diffusion systems. Zbl 1153.35344
Hilhorst, D.; Mimura, M.; Weidenfeld, R.
1
2003
\(\Gamma\)-limit for the extended Fisher-Kolmogorov equation. Zbl 1001.35010
Hilhorst, D.; Peletier, L. A.; Schätzle, R.
12
2002
On some reaction-diffusion systems with nonlinear diffusion arising in biology. Zbl 1074.35047
Feireisl, E.; Mimura, M.; Hilhorst, D.; Weidenfeld, R.
1
2002
A competition-diffusion system approximation to the classical two-phase Stefan problem. Zbl 0980.35178
Hilhorst, Danielle; Iida, Masato; Mimura, Masayasu; Ninomiya, Hirokazu
46
2001
The Nishiura-Ohnishi free boundary problem in the 1D case. Zbl 1077.35121
Fife, Paul C.; Hilhorst, Danielle
23
2001
Approximation by the finite volume method of an elliptic-parabolic equation arising in environmental studies. Zbl 1173.76359
Eymard, R.; Gallouët, T.; Herbin, R.; Gutnic, M.; Hilhorst, D.
11
2001
Singular limit of a chemotaxis-growth model. Zbl 1016.35034
Bonami, A.; Hilhorst, D.; Logak, E.; Mimura, M.
9
2001
A reaction-diffusion system approximation of a one-phase Stefan problem. Zbl 1054.35019
Eymard, R.; Hilhorst, D.; van der Hout, R.; Peletier, L. A.
9
2001
A reaction-diffusion system approximation to the two-phase Stefan problem. Zbl 1042.35572
Hilhorst, Danielle; Iida, Masato; Mimura, Masayasu; Ninomiya, Hirokazu
4
2001
Nonlinear diffusion in the presence of fast reaction. Zbl 0963.35103
Hilhorst, D.; van der Hout, R.; Peletier, L. A.
20
2000
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
18
2000
On a nonlocal diffusion equation with discontinuous reaction. Zbl 0990.35058
Hilhorst, Danielle; Rodrigues, José-Francisco
12
2000
On some asymptotic limits of the Fisher equation with degenerate diffusion. Zbl 0979.35076
Hilhorst, D.; Kersner, R.; Logak, E.; Mimura, M.
2
2000
Convergence to travelling waves in a reaction-diffusion system arising in contaminant transport. Zbl 0963.35020
Hilhorst, D.; Peletier, M. A.
1
2000
Large time behaviour of a class of solutions of second order conservation laws. Zbl 0957.35075
Goncerzewicz, Jan; Hilhorst, Danielle
1
2000
Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model. Zbl 0960.35103
Hilhorst, D.; Logak, E.; Schätzle, R.
1
2000
The classical Verigin-Muskat problem, the regularization problem, and inner layers. Zbl 0979.35081
Vasil&rsquo;eva, O. A.; Radkevich, E. V.; Hilhorst, D.
1
2000
Modified motion by mean curvature: local existence and uniqueness and qualitative properties. Zbl 0994.35053
Bonami, A.; Hilhorst, D.; Logak, E.
1
2000
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A.
69
1999
The finite volume method for Richards equation. Zbl 0953.76060
Eymard, Robert; Gutnic, Michaël; Hilhorst, Danielle
50
1999
Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term. Zbl 0936.35091
Nakamura, K.-I.; Matano, H.; Hilhorst, D.; Schätzle, R.
14
1999
The viscous Cahn-Hilliard equation as a limit of the phase field model: Lower semicontinuity of the attractor. Zbl 0935.35018
Dupaix, C.; Hilhorst, D.; Kostin, I. N.
11
1999
Convergence to a viscosity solution for an advection-reaction-diffusion equation arising from a chemotaxis-growth model. Zbl 1157.35405
Henry, Marie; Hilhorst, Danielle; Schätzle, Reiner
9
1999
Instantaneous and noninstantaneous dissolution: Approximation by the finite volume method. Zbl 1020.65052
Eymard, R.; Gallouët, T.; Herbin, R.; Hilhorst, D.; Mainguy, M.
4
1999
Large time behaviour of solutions of scalar viscous and nonviscous conservation laws. Zbl 0942.35030
Bertsch, M.; Goncerzewicz, J.; Hilhorst, D.
1
1999
Finite volumes and nonlinear diffusion equations. Zbl 0914.65101
Eymard, R.; Gallouët, T.; Hilhorst, D.; Naït Slimane, Y.
21
1998
Upper-semicontinuity of the attractor for a singularly perturbed phase field model. Zbl 0905.35015
Dupaix, C.; Hilhorst, D.; Laurençot, Ph.
4
1998
The finite volume method for an elliptic-parabolic equation. Zbl 0930.35082
Eymard, R.; Gutnic, M.; Hilhorst, D.
3
1998
Interior layers and the regularization of the Verigin-Muskat classical problem. Zbl 0962.35197
Hilhorst, D.; Radkevich, E. V.
2
1998
Disappearing interfaces in nonlinear diffusion. Zbl 0891.35071
Guedda, M.; Hilhorst, D.; Peletier, M. A.
20
1997
...and 35 more Documents
all top 5

Cited by 1,376 Authors

61 Hilhorst, Danielle
34 Miranville, Alain M.
23 Rocca, Elisabetta
21 Mimura, Masayasu
19 Eymard, Robert
17 Cancès, Clément
17 Pop, Iuliu Sorin
16 Signori, Andrea
15 Garcke, Harald
15 Radu, Florin Adrian
15 Saad, Mazen
14 Colli, Pierluigi
14 Sprekels, Jürgen
13 Brenner, Konstantin
13 Vohralík, Martin
12 Bertsch, Michiel
12 Wu, Changhong
11 Jüngel, Ansgar
11 Lam, Kei Fong
11 Lou, Bendong
11 Matano, Hiroshi
11 Ninomiya, Hirokazu
10 Abels, Helmut
10 Lin, Zhigui
10 Murakawa, Hideki
10 Quenjel, EL Houssaine
10 Quintanilla de Latorre, Ramón
9 Chen, Xinfu
9 Funaki, Tadahisa
9 Gilardi, Gianni
9 Grasselli, Maurizio
9 Masson, Roland
9 Ren, Xiaofeng
9 Schmidtchen, Markus
9 Wei, Juncheng
8 Droniou, Jérôme
8 Herbin, Raphaèle
8 Izuhara, Hirofumi
8 Perthame, Benoît
8 Vazquez, Juan Luis
8 Yang, Xiaofeng
7 Biler, Piotr
7 Carrillo de la Plata, José Antonio
7 Galiano Casas, Gonzalo
7 Guichard, Cindy
7 Hulshof, Josephus
7 Kim, Inwon Christina
7 Nguyen, Thanh Nam
7 Novick-Cohen, Amy
7 Punzo, Fabio
7 Wang, Mingxin
7 Wu, Hao
6 Andreianov, Boris
6 Conti, Monica C.
6 Gallouët, Thierry
6 Kim, Yongjung
6 Makki, Ahmad
6 Nürnberg, Robert
6 Schimperna, Giulio
6 Shmarev, Sergey I.
5 Alfaro, Matthieu
5 Amaziane, Brahim
5 Bates, Peter W.
5 Bothe, Dieter
5 Bozorgnia, Farid
5 Burger, Martin
5 Chainais-Hillairet, Claire
5 Desvillettes, Laurent
5 Díaz Díaz, Jesús Ildefonso
5 Ebenbeck, Matthias
5 Folino, Raffaele
5 Gatti, Stefania
5 Girardin, Léo
5 Knopf, Patrik
5 Kuto, Kousuke
5 Liu, Zuhan
5 Muntean, Adrian
5 Nagai, Toshitaka
5 Radkevich, Evgeniĭ Vladimirovich
5 Scarpa, Luca
5 Tsujikawa, Tohru
5 van Duijn, Cornelis Johannes
5 Zhang, Hongfei
5 Zhang, Shan
5 Zheng, Songmu
5 Zhou, Ling
4 Alikakos, Nicholas D.
4 Arakelyan, Avetik
4 Bonfoh, Ahmed S.
4 Brauner, Claude-Michel
4 Choi, Sun-Ho
4 Dancer, Edward Norman
4 Darbenas, Zymantas
4 Degond, Pierre
4 Du, Yihong
4 Eliaš, Ján
4 Elliott, Charles M.
4 Fagioli, Simone
4 Feireisl, Eduard
4 Fellner, Klemens
...and 1,276 more Authors
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Cited in 220 Serials

68 Journal of Differential Equations
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Journal of Mathematical Analysis and Applications
28 Nonlinear Analysis. Real World Applications
28 Discrete and Continuous Dynamical Systems. Series B
24 SIAM Journal on Mathematical Analysis
24 Discrete and Continuous Dynamical Systems
21 Computers & Mathematics with Applications
20 Journal of Computational and Applied Mathematics
19 Physica D
19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
18 Journal of Mathematical Biology
18 Mathematical Methods in the Applied Sciences
18 Communications in Partial Differential Equations
18 Computational Geosciences
17 Computer Methods in Applied Mechanics and Engineering
17 Applied Mathematics and Optimization
17 Numerische Mathematik
17 Discrete and Continuous Dynamical Systems. Series S
16 Archive for Rational Mechanics and Analysis
15 Applicable Analysis
15 Calculus of Variations and Partial Differential Equations
14 Journal of Computational Physics
14 Nonlinear Analysis. Theory, Methods & Applications
13 Applied Numerical Mathematics
13 Applied Mathematics Letters
13 European Journal of Applied Mathematics
13 NoDEA. Nonlinear Differential Equations and Applications
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Journal of Functional Analysis
11 Numerical Methods for Partial Differential Equations
11 Japan Journal of Industrial and Applied Mathematics
11 Journal of Dynamics and Differential Equations
9 Journal of Statistical Physics
9 Applied Mathematics and Computation
9 Transactions of the American Mathematical Society
9 Journal of Nonlinear Science
8 Asymptotic Analysis
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Interfaces and Free Boundaries
8 Communications on Pure and Applied Analysis
7 Bulletin of Mathematical Biology
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 SIAM Journal on Applied Mathematics
7 Communications in Nonlinear Science and Numerical Simulation
6 Nonlinearity
6 Quarterly of Applied Mathematics
6 SIAM Journal on Numerical Analysis
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Applications of Mathematics
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Networks and Heterogeneous Media
6 Journal of Theoretical Biology
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Mathematics of Computation
5 Acta Applicandae Mathematicae
5 Journal of Scientific Computing
5 Journal of Evolution Equations
5 AIMS Mathematics
4 SIAM Journal on Control and Optimization
4 Chinese Annals of Mathematics. Series B
4 Mathematical and Computer Modelling
4 Journal of Integral Equations and Applications
4 Journal of Mathematical Sciences (New York)
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Kinetic and Related Models
4 Science China. Mathematics
4 International Journal on Finite Volumes
3 Advances in Mathematics
3 Mathematics and Computers in Simulation
3 Mathematische Zeitschrift
3 Applied Mathematical Modelling
3 SIAM Journal on Scientific Computing
3 Electronic Journal of Differential Equations (EJDE)
3 Advances in Computational Mathematics
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Applied Mathematics and Computing
3 SIAM Journal on Applied Dynamical Systems
3 Multiscale Modeling & Simulation
3 Journal of Hyperbolic Differential Equations
3 Mediterranean Journal of Mathematics
3 Boundary Value Problems
3 Evolution Equations and Control Theory
3 Journal of Elliptic and Parabolic Equations
2 Computers and Fluids
2 Communications in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Inverse Problems
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Automatica
2 Calcolo
2 Journal of Optimization Theory and Applications
2 Kybernetika
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 Systems & Control Letters
2 Zeitschrift für Analysis und ihre Anwendungen
2 Optimization
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Cited in 38 Fields

878 Partial differential equations (35-XX)
291 Biology and other natural sciences (92-XX)
265 Numerical analysis (65-XX)
248 Fluid mechanics (76-XX)
82 Classical thermodynamics, heat transfer (80-XX)
70 Statistical mechanics, structure of matter (82-XX)
65 Calculus of variations and optimal control; optimization (49-XX)
47 Dynamical systems and ergodic theory (37-XX)
47 Mechanics of deformable solids (74-XX)
31 Probability theory and stochastic processes (60-XX)
25 Ordinary differential equations (34-XX)
23 Differential geometry (53-XX)
20 Integral equations (45-XX)
20 Operator theory (47-XX)
17 Systems theory; control (93-XX)
11 Geophysics (86-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Statistics (62-XX)
8 Optics, electromagnetic theory (78-XX)
7 Mechanics of particles and systems (70-XX)
7 Operations research, mathematical programming (90-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Real functions (26-XX)
5 Astronomy and astrophysics (85-XX)
5 Information and communication theory, circuits (94-XX)
4 Difference and functional equations (39-XX)
4 Approximations and expansions (41-XX)
4 Quantum theory (81-XX)
3 General and overarching topics; collections (00-XX)
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3 Integral transforms, operational calculus (44-XX)
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3 Computer science (68-XX)
2 Measure and integration (28-XX)
2 Convex and discrete geometry (52-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Mathematics education (97-XX)

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