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Interfaces and Free Boundaries

Mathematical Analysis, Computation and Applications

Short Title: Interfaces Free Bound.
Publisher: European Mathematical Society (EMS) Publishing House, Zurich
ISSN: 1463-9963; 1463-9971/e
Online: https://www.ems-ph.org/journals/all_issues.php?issn=1463-9963
https://ems.press/journals/ifb/read
Comments: Indexed cover-to-cover
Documents Indexed: 451 Publications (since 1999)
References Indexed: 104 Publications with 2,043 References.
all top 5

Authors

10 Novaga, Matteo
8 Deckelnick, Klaus
7 Barrett, John W.
7 Elliott, Charles M.
7 Garcke, Harald
5 Bartels, Sören
5 Bellettini, Giovanni
5 Braides, Andrea
5 Chambolle, Antonin
5 Monneau, Régis
5 Simonett, Gieri
5 Vazquez, Juan Luis
4 Abels, Helmut
4 Chalons, Christophe
4 Chen, Xinfu
4 Chopp, David L.
4 Dziuk, Gerhard
4 Friedman, Avner
4 Giacomelli, Lorenzo
4 Giga, Yoshikazu
4 Hulshof, Josephus
4 Laurençot, Philippe
4 Pozzi, Paola
4 Prüß, Jan Wilhelm
4 Ren, Xiaofeng
4 Röger, Matthias
4 Sivashinsky, Gregory I.
4 Valdinoci, Enrico
4 Wei, Juncheng
3 Alt, Hans Wilhelm
3 Bertsch, Michiel
3 Brauner, Claude-Michel
3 Cahn, John W.
3 Cardaliaguet, Pierre
3 Dal Passo, Roberta
3 Dirr, Nicolas Peter
3 Escher, Joachim
3 Frankel, Michael L.
3 Grün, Günther
3 Henrot, Antoine
3 Hilhorst, Danielle
3 Hintermüller, Michael
3 Imbert, Cyril
3 Kimura, Masato
3 Kunisch, Karl
3 Lippoth, Friedrich-Matthias
3 Mimura, Masayasu
3 Nochetto, Ricardo Horacio
3 Nürnberg, Robert
3 Paolini, Maurizio
3 Peletier, Mark Adriaan
3 Perthame, Benoît
3 Prigozhin, Leonid B.
3 Prohl, Andreas
3 Quirós Gracián, Fernando
3 Rossi, Julio Daniel
3 Roubíček, Tomáš
3 Rumpf, Martin
3 Sethian, James A.
3 Shahgholian, Henrik
3 Solonnikov, Vsevolod Alekseevich
3 Sprekels, Jürgen
3 Stinner, Bjorn
3 Styles, Vanessa
3 Tonegawa, Yoshihiro
3 Velázquez, Juan J. L.
2 Alicandro, Roberto
2 Ambrose, David M.
2 Ambrosio, Luigi
2 Amstutz, Samuel
2 Antil, Harbir
2 Apushkinskaya, Darya E.
2 Barles, Guy
2 Beneš, Michal
2 Berestycki, Henri
2 Bhattacharya, Kaushik
2 Bretin, Elie
2 Burger, Martin
2 Buttazzo, Giuseppe
2 Cancès, Clément
2 Caraballo, David G.
2 Challal, Samia
2 Cicalese, Marco
2 Conti, Monica C.
2 Cristoferi, Riccardo
2 Cui, Shangbin
2 da Silva, João Vítor
2 Davis, Stephen Howard
2 De los Reyes, Juan Carlos
2 Dondl, Patrick Werner
2 Dreyer, Wolfgang
2 Eck, Christof
2 Falcone, Maurizio
2 Fasano, Antonio
2 Fife, Paul C.
2 Fonseca, Irene
2 Fontelos López, Marco Antonio
2 Glasner, Karl B.
2 Goatin, Paola
2 Guidotti, Patrick Q.
...and 582 more Authors

Publications by Year

Citations contained in zbMATH Open

387 Publications have been cited 3,224 times in 2,582 Documents Cited by Year
Numerical implementation of the variational formulation for quasi-static brittle fracture. Zbl 1130.74040
Bourdin, Blaise
80
2007
Phase field modeling and simulation of three-phase flows. Zbl 1100.35088
Kim, Junseok; Lowengrub, John
51
2005
A framework for the construction of level set methods for shape optimization and reconstruction. Zbl 1081.35134
Burger, Martin
50
2003
The fractional Cheeger problem. Zbl 1301.49115
Brasco, L.; Lindgren, Erik; Parini, Enea
48
2014
Area-preserving curve-shortening flows: From phase separation to image processing. Zbl 1021.35129
Capuzzo Dolcetta, Italo; Finzi Vita, Stefano; March, Riccardo
42
2002
An algorithm for mean curvature motion. Zbl 1061.35147
Chambolle, Antonin
42
2004
A variational model of irrigation patterns. Zbl 1057.35076
Maddalena, F.; Solimini, S.; Morel, J.-M
39
2003
A level set formulation for Willmore flow. Zbl 1062.35028
Droske, M.; Rumpf, M.
39
2004
Finite element approximation of a Cahn-Hilliard-Navier-Stokes system. Zbl 1144.35043
Kay, David
37
2008
On the two-phase Navier-Stokes equations with surface tension. Zbl 1202.35359
Prüss, Jan; Simonett, Gieri
37
2010
Optimal regularity for elliptic transmission problems including \(C^1\) interfaces. Zbl 1147.47034
Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther
35
2007
On energy minimizers of the diblock copolymer problem. Zbl 1031.49035
Ren, Xiaofeng; Wei, Juncheng
32
2003
A projection method for motion of triple junctions by level sets. Zbl 1112.76437
Smith, Kurt A.; Solis, Francisco J.; Chopp, David L.
29
2002
Free boundary regularity for a problem with right hand side. Zbl 1219.35372
De Silva, D.
29
2011
Rigorous lubrication approximation. Zbl 1039.76012
Giacomelli, Lorenzo; Otto, Felix
28
2003
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Zbl 1072.35150
Feng, Xiaobing; Prohl, Andreas
28
2005
An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary. Zbl 0986.35139
Weiss, G. S.
27
2001
A direct variational approach to a problem arising in image reconstruction. Zbl 1029.49037
Ambrosio, Luigi; Masnou, Simon
27
2003
Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem. Zbl 1006.35103
Fila, Marek; Souplet, Philippe
26
2001
Classical solutions to a moving boundary problem for an elliptic-parabolic system. Zbl 1057.35097
Escher, Joachim
26
2004
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
26
2005
A geometrically exact Cosserat shell model for defective elastic crystals. Justification via \(\Gamma\)-convergence. Zbl 1137.74014
Neff, Patrizio; Chełmiński, Krzyztof
26
2007
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
25
2005
Eulerian finite element method for parabolic PDEs on implicit surfaces. Zbl 1145.65073
Dziuk, G.; Elliott, C. M.
25
2008
Mass conserving Allen-Cahn equation and volume preserving mean curvature flow. Zbl 1219.35018
Chen, Xinfu; Hilhorst, Danielle; Logak, Elisabeth
24
2010
On generalized solutions of two-phase flows for viscous incompressible fluids. Zbl 1124.35060
Abels, Helmut
24
2007
On the global minimizers of a nonlocal isoperimetric problem in two dimensions. Zbl 1216.35019
Sternberg, Peter; Topaloglu, Ihsan
24
2011
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
23
2008
Error analysis of a finite element method for the Willmore flow of graphs. Zbl 1102.35047
Deckelnick, Klaus; Dziuk, Gerhard
23
2006
Metastability in a flame front evolution equation. Zbl 0991.35097
Berestycki, H.; Kamin, S.; Sivashinsky, G.
22
2001
Motion by intrinsic Laplacian of curvature. Zbl 0938.65144
Chopp, David L.; Sethian, J. A.
21
1999
A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow. Zbl 1005.65095
Mayer, Uwe F.; Simonett, Gieri
21
2002
An algorithm for the elastic flow of surfaces. Zbl 1210.35149
Rusu, Raluca E.
21
2005
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127
Bellettini, G.; Novaga, M.; Paolini, M.
21
2001
On the variational theory of cell-membrane equilibria. Zbl 1057.35077
Steigmann, David; Baesu, Eveline; Rudd, Robert E.; Belak, Jim; McElfresh, Mike
21
2003
Level set approach for fractional mean curvature flows. Zbl 1173.35533
Imbert, Cyril
21
2009
Two-phase flows involving capillary barriers in heterogeneous porous media. Zbl 1178.35196
Cancès, Clément; Gallouët, Thierry; Porretta, Alessio
21
2009
Pinning and de-pinning phenomena in front propagation in heterogeneous media. Zbl 1101.35074
Dirr, N.; Yip, N. K.
20
2006
Lower bounds on waiting times for degenerate parabolic equations and systems. Zbl 1100.35058
Giacomelli, Lorenzo; Grün, Günther
20
2006
Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385
Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael
20
2014
Threshold dynamics for high order geometric motions. Zbl 1157.65330
Esedoḡlu, Selim; Ruuth, Steven J.; Tsai, Richard
19
2008
Properties of Sobolev-type metrics in the space of curves. Zbl 1168.58005
Mennucci, A. C. G.; Yezzi, A.; Sundaramoorthi, G.
19
2008
Travelling front solutions arising in the chemotaxis-growth model. Zbl 1106.35119
Funaki, Mitsuo; Mimura, Masayasu; Tsujikawa, Tohru
19
2006
A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions. Zbl 1116.35073
Andreu, F.; Mazón, J. M.; Toledo, J.; Igbida, N.
19
2006
Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility. Zbl 0952.35159
Dal Passo, Roberta; Giacomelli, Lorenzo; Novick-Cohen, Amy
18
1999
A hyperbolic free boundary problem modeling tumor growth. Zbl 1040.35143
Cui, Shangbin; Friedman, Avner
18
2003
Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities. Zbl 1081.35115
Deckelnick, Klaus; Elliott, Charles M.
18
2004
A Bayesian level set method for geometric inverse problems. Zbl 1353.65050
Iglesias, Marco A.; Lu, Yulong; Stuart, Andrew M.
18
2016
A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth. Zbl 1106.35145
Friedman, Avner
18
2006
The Wulff shape minimizes an anisotropic Willmore functional. Zbl 1072.35184
Clarenz, Ulrich
17
2004
Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. Zbl 1084.49003
Alter, F.; Caselles, V.; Chambolle, A.
17
2005
A free boundary problem arising in a simplified tumour growth model of contact inhibition. Zbl 1197.35296
Bertsch, M.; Dal Passo, R.; Mimura, M.
17
2010
Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023
Bellettini, G.; Novaga, M.; Paolini, M.
16
1999
Optimal channel networks, landscape function and branched transport. Zbl 1138.90339
Santambrogio, Filippo
16
2007
Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems. Zbl 1109.35092
Choksi, Rustum; Sternberg, Peter
16
2006
Well-posedness of the linearized plasma-vacuum interface problem. Zbl 1286.76166
Secchi, Paolo; Trakhinin, Yuri
16
2013
Optimal regularity at the free boundary for the infinity obstacle problem. Zbl 1439.35580
Rossi, J. D.; Teixeira, Eduardo V.; Urbano, José Miguel
16
2015
The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164
Garcke, Harald; Rumpf, Martin; Weikard, Ulrich
15
2001
Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy. Zbl 1333.35207
Muha, Boris; Čanić, Sunčica
15
2015
The Allen-Cahn action functional in higher dimensions. Zbl 1288.93096
Mugnai, Luca; Röger, Matthias
15
2008
Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity. Zbl 1002.35059
Andreucci, Daniele; Tedeev, Anatoli F.
14
2001
Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors. Zbl 1078.35139
Cui, Shangbin
14
2005
On the shape derivative for problems of Bernoulli type. Zbl 1178.49055
Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G.
14
2009
Derivation of a Hele-Shaw type system from a cell model with active motion. Zbl 1325.35092
Perthame, Benoît; Quirós, Fernando; Tang, Min; Vauchelet, Nicholas
14
2014
Incompressible fluid problems on embedded surfaces: modeling and variational formulations. Zbl 1406.35224
Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold
14
2018
Free-discontinuity problems via functionals involving the \(L^1\)-norm of the gradient and their approximations. Zbl 0947.49011
Alicandro, Roberto; Braides, Andrea; Shah, Jayant
13
1999
Segregating partition problem in competition-diffusion systems. Zbl 0980.92037
Ei, Shin-Ichiro; Ikota, Ryo; Mimura, Masayasu
13
1999
Droplet spreading under weak slippage: The optimal asymptotic propagation rate in the multi-dimensional case. Zbl 1056.35072
Grün, Günther
13
2002
A free-boundary model for diffusion-induced grain boundary motion. Zbl 0986.35136
Fife, P. C.; Cahn, J. W.; Elliott, C. M.
13
2001
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Zbl 1171.35429
Chalons, Christophe; Goatin, Paola
13
2008
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. Zbl 1157.65435
Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G.
13
2008
Optimal transportation networks as flat chains. Zbl 1275.90011
Paolini, Emanuele; Stepanov, Eugene
13
2006
Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
13
2010
A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions. Zbl 0994.35124
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L.
12
2001
On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop. Zbl 0974.35097
Solonnikov, V. A.
12
1999
Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem. Zbl 1129.35088
Katsoulakis, Markos A.; Kossioris, Georgios T.; Lakkis, Omar
12
2007
Implicit time discretization of the mean curvature flow with a discontinuous forcing term. Zbl 1170.65054
Chambolle, Antonin; Novaga, Matteo
12
2008
Second order phase field asymptotics for multi-component systems. Zbl 1106.35116
Garcke, Harald; Stinner, Björn
12
2006
Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid. Zbl 1260.35258
Boulakia, Muriel; Schwindt, Erica L.; Takahashi, Takéo
12
2012
On the geometry of Hele-Shaw flows with small surface tension. Zbl 1028.35124
Vasil’ev, Alexander; Markina, Irina
11
2003
A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions. Zbl 1046.35059
Barles, Guy; Da Lio, Francesca
11
2003
Modeling and simulation of sublimation growth of SiC bulk single crystals. Zbl 1081.35117
Klein, Olaf; Philip, Peter; Sprekels, Jürgen
11
2004
An efficient solution to the eikonal equation on parametric manifolds. Zbl 1054.65098
Spira, Alon; Kimmel, Ron
11
2004
A duality based semismooth Newton framework for solving variational inequalities of the second kind. Zbl 1247.65089
De Los Reyes, Juan Carlos; Hintermüller, Michael
11
2011
Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity. Zbl 1243.35026
Grasselli, Maurizio; Pražák, Dalibor
11
2011
Scalar conservation laws on moving hypersurfaces. Zbl 1350.35115
Dziuk, Gerhard; Kröner, Dietmar; Müller, Thomas
11
2013
The thin film equation with backwards second order diffusion. Zbl 1213.35268
Novick-Cohen, Amy; Shishkov, Andrey
11
2010
On some linear parabolic PDEs on moving hypersurfaces. Zbl 1333.35306
Alphonse, Amal; Elliott, Charles M.; Stinner, Björn
11
2015
On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via flat solutions: the one-dimensional case. Zbl 1328.81101
Díaz, Jesús Ildefonso
11
2015
Obstacle mean-field game problem. Zbl 1327.35119
Gomes, Diogo A.; Sri, Kaust; Patrizi, Stefania
11
2015
Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local. Zbl 1304.35729
Alfaro, Matthieu; Alifrangis, Pierre
11
2014
Phenomenological modelling of polymer crystallization using the notion of multiple natural configurations. Zbl 0948.35123
Rao, I. J.; Rajagopal, K. R.
10
2000
On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model. Zbl 0967.49009
Ambrosio, Luigi; Colli Franzone, Piero; Savaré, Giuseppe
10
2000
Error estimates for a semi-implicit fully discrete element scheme for the mean curvature flow of graphs. Zbl 0974.65088
Deckelnick, Klaus; Dziuk, Gerhard
10
2000
A coupled level set projection method applied to ink jet simulation. Zbl 1042.35059
Yu, Jiun-Der; Sakai, Shinri; Sethian, J. A.
10
2003
Geometric properties of Bernoulli-type minimizers. Zbl 1259.49060
Petrosyan, Arshak; Valdinoci, Enrico
10
2005
A free-boundary problem for concrete carbonation: front nucleation and rigorous justification of the \(\sqrt{{t}}\)-law of propagation. Zbl 1276.35127
Aiki, Toyohiko; Muntean, Adrian
10
2013
Solutions for the Stefan problem with Gibbs-Thomson law by a local minimisation. Zbl 1050.35155
Röger, Matthias
10
2004
Convergence of thresholding schemes incorporating bulk effects. Zbl 1376.82004
Laux, Tim; Swartz, Drew
10
2017
Approximation of sets of finite fractional perimeter by smooth sets and comparison of local and global s-minimal surfaces. Zbl 1403.49040
Lombardini, Luca
10
2018
Quantitative analysis of finite-difference approximations of free-discontinuity problems. Zbl 1457.65039
Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida
3
2020
Derivation of a heteroepitaxial thin-film model. Zbl 1437.35269
Davoli, Elisa; Piovano, Paolo
2
2020
The vanishing exponent limit for motion by a power of mean curvature. Zbl 1442.35200
Liu, Qing
2
2020
From individual-based mechanical models of multicellular systems to free-boundary problems. Zbl 1446.35225
Lorenzi, Tommaso; Murray, Philip J.; Ptashnyk, Mariya
2
2020
A bulk-surface reaction-diffusion system for cell polarization. Zbl 1439.35577
Niethammer, Barbara; Röger, Matthias; Velázquez, Juan J. L.
1
2020
Segregation effects and gap formation in cross-diffusion models. Zbl 1445.35048
Burger, Martin; Carrillo, José A.; Pietschmann, Jan-Frederik; Schmidtchen, Markus
1
2020
A nonlocal diffusion problem with a sharp free boundary. Zbl 1430.35240
Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi
4
2019
An obstacle problem for elastic curves: existence results. Zbl 1420.49048
Müller, Marius
3
2019
A tractable mathematical model for tissue growth. Zbl 1442.35557
Eyles, Joe; King, John R.; Styles, Vanessa
2
2019
Large time behavior of a two phase extension of the porous medium equation. Zbl 1423.35225
Oulhaj, Ahmed Ait Hammou; Cancès, Clément; Chainais-Hillairet, Claire; Laurençot, Philippe
2
2019
Non-transversal intersection of the free and fixed boundary in the mean-field theory of superconductivity. Zbl 1458.35170
Indrei, Emanuel
2
2019
Existence, uniqueness and concentration for a system of PDEs involving the Laplace-Beltrami operator. Zbl 1419.35080
Amar, Micol; Gianni, Roberto
2
2019
Global stability for solutions to the exponential PDE describing epitaxial growth. Zbl 1418.35215
Liu, Jian-Guo; Strain, Robert M.
2
2019
A homogenization result in the gradient theory of phase transitions. Zbl 1425.74389
Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina
1
2019
Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358
Bartels, Sören; Buttazzo, Giuseppe
1
2019
Relaxation to a planar interface in the Mullins-Sekerka problem. Zbl 1427.35375
Chugreeva, Olga; Otto, Felix; Westdickenberg, Maria G.
1
2019
Incompressible fluid problems on embedded surfaces: modeling and variational formulations. Zbl 1406.35224
Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold
14
2018
Approximation of sets of finite fractional perimeter by smooth sets and comparison of local and global s-minimal surfaces. Zbl 1403.49040
Lombardini, Luca
10
2018
Fractional elliptic quasi-variational inequalities: theory and numerics. Zbl 1390.35427
Antil, Harbir; Rautenberg, Carlos N.
8
2018
Bubbles and droplets in a singular limit of the FitzHugh-Nagumo system. Zbl 1397.49012
Chen, Chao-Nien; Choi, Yung-Sze; Ren, Xiaofeng
7
2018
Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall. Zbl 1408.35140
Xiang, Wei; Zhang, Yongqian; Zhao, Qin
5
2018
Approximation and characterization of quasi-static \(H^1\)-evolutions for a cohesive interface with different loading-unloading regimes. Zbl 1400.49009
Negri, Matteo; Vitali, Enrico
4
2018
On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers. Zbl 1396.49027
Bonnivard, Matthieu; Lemenant, Antoine; Millot, Vincent
4
2018
Minimal partitions for \(p\)-norms of eigenvalues. Zbl 1394.49039
Bogosel, Beniamin; Bonnaillie-Noël, Virginie
4
2018
Free boundary regularity for a degenerate problem with right hand side. Zbl 1415.35074
Leitão, Raimundo; Ricarte, Gleydson C.
4
2018
Uniform ball property and existence of optimal shapes for a wide class of geometric functionals. Zbl 1397.49057
Dalphin, Jérémy
3
2018
A limit case in non-isotropic two-phase minimization problems driven by \(p\)-Laplacians. Zbl 1412.35151
Da Silva, João Vítor; Rossi, Julio D.
3
2018
The Verigin problem with and without phase transition. Zbl 1393.35179
Prüss, Jan; Simonett, Gieri
2
2018
Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone. Zbl 1417.49053
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco
1
2018
Super-linear propagation for a general, local cane toads model. Zbl 1407.35112
Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E.
1
2018
Thin obstacle problem: estimates of the distance to the exact solution. Zbl 1407.35231
Apushkinskaya, Darya E.; Repin, Sergey I.
1
2018
Asymptotic stability of local Helfrich minimizers. Zbl 1410.35251
Lengeler, Daniel
1
2018
Convergence of thresholding schemes incorporating bulk effects. Zbl 1376.82004
Laux, Tim; Swartz, Drew
10
2017
A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics. Zbl 1377.49045
Bretin, Elie; Masnou, Simon
8
2017
Some results on anisotropic fractional mean curvature flows. Zbl 1380.53070
Chambolle, Antonin; Novaga, Matteo; Ruffini, Berardo
8
2017
Minimising a relaxed Willmore functional for graphs subject to boundary conditions. Zbl 1368.49046
Deckelnick, Klaus; Grunau, Hans-Christoph; Röger, Matthias
7
2017
Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the \(p(x)\)-Laplacian. Zbl 06751269
Lederman, Claudia; Wolanski, Noemi
7
2017
Sharp stability inequalities for planar double bubbles. Zbl 1397.49063
Cicalese, Marco; Leonardi, Gian Paolo; Maggi, Francesco
7
2017
A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem. Zbl 1404.65110
Chalons, C.; Monache, M. L. Delle; Goatin, P.
7
2017
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth. Zbl 1390.35431
Melchionna, Stefano; Rocca, Elisabetta
6
2017
Rigidity and stability of spheres in the Helfrich model. Zbl 1383.74017
Bernard, Yann; Wheeler, Glen; Wheeler, Valentina-Mira
5
2017
Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004
Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M.
4
2017
On the shape of the free boundary of variational inequalities with gradient constraints. Zbl 06751268
Safdari, Mohammad
4
2017
Hysteresis in porous media: modelling and analysis. Zbl 1377.76034
Schweizer, Ben
4
2017
Advection-diffusion equations with random coefficients on evolving hypersurfaces. Zbl 1390.35436
Djurdjevac, Ana
3
2017
Zero width limit of the heat equation on moving thin domains. Zbl 1371.35369
Miura, Tatsu-Hiko
2
2017
Weak solutions to thin-film equations with contact-line friction. Zbl 06751270
Chiricotto, Maria; Giacomelli, Lorenzo
2
2017
A free boundary problem with log-term singularity. Zbl 06821916
De Queiroz, Olivaine S.; Shahgholian, Henrik
2
2017
Numerical investigation of the free boundary regularity for a degenerate advection-diffusion problem. Zbl 1386.35493
Monsaingeon, Léonard
1
2017
Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations. Zbl 1383.35146
Chen, Gui-Qiang G.; Chen, Jun; Feldman, Mikhail
1
2017
A Bayesian level set method for geometric inverse problems. Zbl 1353.65050
Iglesias, Marco A.; Lu, Yulong; Stuart, Andrew M.
18
2016
On Hamilton-Jacobi-Bellman equations with convex gradient constraints. Zbl 1386.90163
Hynd, Ryan; Mawi, Henok
6
2016
The limit as \(p\to\infty\) in a two-phase free boundary problem for the \(p\)-Laplacian. Zbl 1344.35060
Rossi, Julio D.; Wang, Peiyong
5
2016
Capturing nonclassical shocks in nonlinear elastodynamic with a conservative finite volume scheme. Zbl 1388.74110
Aguillon, Nina
3
2016
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach. Zbl 1352.49046
Garcke, Harald; Hecht, Claudia; Hinze, Michael; Kahle, Christian; Lam, Kei Fong
3
2016
On a three-dimensional free boundary problem modeling electrostatic MEMS. Zbl 1351.35215
Laurençot, Philippe; Walker, Christoph
3
2016
Effective behavior of an interface propagating through a periodic elastic medium. Zbl 1342.35027
Dondl, Patrick W.; Bhattacharya, Kaushik
3
2016
On the gamma-limit of joint image segmentation and registration functionals based on phase fields. Zbl 1355.94012
Wirth, Benedikt
2
2016
Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination. Zbl 1381.74147
Babadjian, Jean-François; Henao, Duvan
2
2016
A rigorous setting for the reinitialization of first order level set equations. Zbl 1356.35092
Hamamuki, Nao; Ntovoris, Eleftherios
2
2016
Stability of equilibria of a two-phase Stokes-osmosis problem. Zbl 1349.35437
Lippoth, Friedrich; Prokert, Georg
1
2016
A Hopf-Lax formula for the time evolution of the level-set equation and a new approach to shape sensitivity analysis. Zbl 1353.49054
Kraft, Daniel
1
2016
Convergence of a threshold-type algorithm using the signed distance function. Zbl 1357.35301
Ishii, Katsuyuki; Kimura, Masato
1
2016
A structure theorem for shape functions defined on submanifolds. Zbl 1381.49046
Sturm, Kevin
1
2016
Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer. Zbl 1398.74447
Li, Zhilin; Mikayelyan, Hayk
1
2016
Optimal regularity at the free boundary for the infinity obstacle problem. Zbl 1439.35580
Rossi, J. D.; Teixeira, Eduardo V.; Urbano, José Miguel
16
2015
Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy. Zbl 1333.35207
Muha, Boris; Čanić, Sunčica
15
2015
On some linear parabolic PDEs on moving hypersurfaces. Zbl 1333.35306
Alphonse, Amal; Elliott, Charles M.; Stinner, Björn
11
2015
On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via flat solutions: the one-dimensional case. Zbl 1328.81101
Díaz, Jesús Ildefonso
11
2015
Obstacle mean-field game problem. Zbl 1327.35119
Gomes, Diogo A.; Sri, Kaust; Patrizi, Stefania
11
2015
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems. Zbl 1331.35198
Tedeev, Anatoli; Vespri, Vincenzo
8
2015
Two-phase entropy solutions of forward-backward parabolic problems with unstable phase. Zbl 1338.35215
Terracina, Andrea
7
2015
The taming of plastic slips in von Mises elasto-plasticity. Zbl 1331.74034
Francroft, Gilles A.; Giacomini, Alessandro; Marigo, Jean-Jacques
6
2015
On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension. Zbl 1336.35373
Prüss, Jan; Shao, Yuanzhen; Simonett, Gieri
6
2015
On the regularity of critical and minimal sets of a free interface problem. Zbl 1321.49061
Fusco, Nicola; Julin, Vesa
6
2015
A computational approach to an optimal partition problem on surfaces. Zbl 1329.49085
Elliot, Charles M.; Ranner, Thomas
4
2015
Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions. Zbl 1342.53092
Mercier, Gwenael; Novaga, Matteo
4
2015
Regularity of free boundary arising from optimal exercise of perpetual executive stock options. Zbl 1346.35197
Qin, Cong; Chen, Xinfu; Lai, Xin; Yu, Wanghui
4
2015
The integral of the normal and fluxes over sets of finite perimeter. Zbl 1323.28005
Bright, Ido; Torres, Monica
3
2015
On regularity properties of solutions to the hysteresis-type problem. Zbl 1321.35261
Apushkinskaya, Darya E.; Uraltseva, Nina N.
3
2015
A second order convergent trial method for a free boundary problem in three dimensions. Zbl 1331.65170
Bugeanu, Monica; Harbrecht, Helmut
2
2015
Nondegeneracy in the obstacle problem with a degenerate force term. Zbl 1328.35337
Yeressian, Karen
2
2015
The mesa problem for the fractional porous medium equation. Zbl 1327.35214
Vázquez, Juan Luis
2
2015
Regularity up to the boundary for singularly perturbed fully nonlinear elliptic equations. Zbl 1336.35040
Ricarte, Gleydson; da Silva, João Vítor
2
2015
Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. Zbl 1320.49016
Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline
2
2015
On the regularity of stationary points of a nonlocal isoperimetric problem. Zbl 1334.49135
Goldman, Dorian; Volkmann, Alexander
1
2015
Estimates on front propagation for nonlinear higher-order parabolic equations: an algorithmic approach. Zbl 1321.35103
Fischer, Julian
1
2015
The fractional Cheeger problem. Zbl 1301.49115
Brasco, L.; Lindgren, Erik; Parini, Enea
48
2014
Local solvability and turning for the inhomogeneous Muskat problem. Zbl 1295.35385
Berselli, Luigi C.; Córdoba, Diego; Granero-Belinchón, Rafael
20
2014
Derivation of a Hele-Shaw type system from a cell model with active motion. Zbl 1325.35092
Perthame, Benoît; Quirós, Fernando; Tang, Min; Vauchelet, Nicholas
14
2014
Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local. Zbl 1304.35729
Alfaro, Matthieu; Alifrangis, Pierre
11
2014
Global existence and decay for solutions of the Hele-Shaw flow with injection. Zbl 1301.35219
Cheng, C. H. Arthur; Coutand, Daniel; Shkoller, Steve
9
2014
On sharp interface limits for diffuse interface models for two-phase flows. Zbl 1319.76058
Abels, Helmut; Lengeler, Daniel
9
2014
Parabolic optimal control problems on evolving surfaces subject to point-wise box constraints on the control-theory and numerical realization. Zbl 1295.49004
Vierling, Morten
9
2014
Lakes and rivers in the landscape: a quasi-variational inequality approach. Zbl 1297.35122
Barrett, John W.; Prigozhin, Leonid
9
2014
On the regularity of the free boundary for quasilinear obstacle problems. Zbl 1301.35218
Challal, S.; Lyaghfouri, Abdeslem; Rodrigues, José Francisco; Teymurazyan, Rafayel
5
2014
An overdetermined problem with non-constant boundary condition. Zbl 1297.35153
Bianchini, Chiara; Henrot, Antoine; Salani, Paolo
5
2014
Stability and bifurcation of equilibria for the axisymmetric averaged mean curvature flow. Zbl 1295.35297
LeCrone, Jeremy
4
2014
Deterministic control of randomly-terminated processes. Zbl 1292.49027
Andrews, June; Vladimirsky, Alexander
3
2014
On a generalized Muskat-Brinkman type problem. Zbl 1304.35533
Chemetov, Nikolai; Neves, Wladimir
3
2014
...and 287 more Documents
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Cited by 2,962 Authors

34 Garcke, Harald
28 Novaga, Matteo
28 Valdinoci, Enrico
24 Nürnberg, Robert
20 Chambolle, Antonin
18 Monneau, Régis
18 Vazquez, Juan Luis
17 Abels, Helmut
17 Barrett, John W.
17 Cui, Shangbin
17 Elliott, Charles M.
17 Escher, Joachim
16 Giga, Yoshikazu
16 Matioc, Bogdan-Vasile
16 Miranville, Alain M.
15 Nochetto, Ricardo Horacio
15 Rehberg, Joachim
15 Ren, Xiaofeng
14 Wei, Juncheng
14 Wick, Thomas
13 Dipierro, Serena
13 Hintermüller, Michael
13 Kim, Inwon Christina
13 Perthame, Benoît
13 Rossi, Julio Daniel
13 Shahgholian, Henrik
12 Grün, Günther
12 Knüpfer, Hans
12 Rybka, Piotr
12 Yang, Xiaofeng
11 Allaire, Grégoire
11 Bellettini, Giovanni
11 Cancès, Clément
11 Caselles Costa, Vicent
11 Grasselli, Maurizio
11 Rohde, Christian
11 Roubíček, Tomáš
11 Solonnikov, Vsevolod Alekseevich
11 Voigt, Axel
10 Bartels, Sören
10 Beneš, Michal
10 Braides, Andrea
10 Brasco, Lorenzo
10 da Silva, João Vítor
10 Dapogny, Charles
10 De Silva, Daniela
10 Deckelnick, Klaus
10 Hu, Bei
10 Igbida, Noureddine
10 Neff, Patrizio
10 Prüß, Jan Wilhelm
10 Savin, Ovidiu V.
9 Caffarelli, Luis Ángel
9 Chen, Xinfu
9 Cicalese, Marco
9 Friedman, Avner
9 Giacomelli, Lorenzo
9 Gomes, Diogo Luís Aguiar
9 Granero Belinchón, Rafael
9 Kim, Junseok
9 Leonardi, Gian Paolo
9 Lindgren, Erik
9 Lippoth, Friedrich-Matthias
9 Masnou, Simon
9 Muratov, Cyrill B.
9 Oudet, Edouard
9 Rautenberg, Carlos N.
9 Ricarte, Gleydson C.
9 Röger, Matthias
9 Shibata, Yoshihiro
9 Wolanski, Noemi I.
9 Zhou, Fujun
8 Alphonse, Amal
8 Barles, Guy
8 Bîrsan, Mircea
8 Bruveris, Martins
8 Burger, Martin
8 Čanić, Sunčica
8 Carrillo de la Plata, José Antonio
8 Chalons, Christophe
8 Cherfils, Laurence
8 Degtyarev, Sergeĭ Petrovich
8 Fakih, Hussein
8 Figalli, Alessio
8 Han, Daozhi
8 Iagar, Razvan Gabriel
8 Lam, Kei Fong
8 Lederman, Claudia B.
8 Lin, Zhigui
8 Marchese, Andrea
8 Marigo, Jean-Jacques
8 Mimura, Masayasu
8 Otto, Felix
8 Rocca, Elisabetta
8 Roquejoffre, Jean-Michel
8 Strani, Marta
8 Styles, Vanessa
8 Walker, Shawn W.
7 Bauer, Martin
7 Bressan, Alberto
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Cited in 322 Journals

122 Journal of Computational Physics
95 Journal of Differential Equations
92 Archive for Rational Mechanics and Analysis
73 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
69 Calculus of Variations and Partial Differential Equations
65 Computer Methods in Applied Mechanics and Engineering
59 SIAM Journal on Mathematical Analysis
52 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
49 Journal of Mathematical Analysis and Applications
48 Journal of Scientific Computing
41 Nonlinear Analysis. Real World Applications
40 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
38 Journal de Mathématiques Pures et Appliquées. Neuvième Série
35 Numerische Mathematik
35 Discrete and Continuous Dynamical Systems
31 Computers & Mathematics with Applications
31 Communications in Partial Differential Equations
29 Mathematical Methods in the Applied Sciences
29 Physica D
29 Interfaces and Free Boundaries
25 SIAM Journal on Numerical Analysis
24 Journal of Mathematical Sciences (New York)
23 Applied Numerical Mathematics
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 NoDEA. Nonlinear Differential Equations and Applications
22 Journal of Computational and Applied Mathematics
22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Mathematics of Computation
20 Annali di Matematica Pura ed Applicata. Serie Quarta
20 Journal of Elasticity
19 Continuum Mechanics and Thermodynamics
19 SIAM Journal on Scientific Computing
19 Journal of Mathematical Fluid Mechanics
19 Discrete and Continuous Dynamical Systems. Series B
18 Applicable Analysis
18 Communications in Mathematical Physics
18 Transactions of the American Mathematical Society
18 SIAM Journal on Applied Mathematics
18 Journal of Nonlinear Science
18 Discrete and Continuous Dynamical Systems. Series S
17 Nonlinearity
17 European Journal of Applied Mathematics
17 The Journal of Geometric Analysis
16 Advances in Mathematics
16 Applied Mathematics and Computation
16 Journal of Functional Analysis
16 Journal of Mathematical Imaging and Vision
15 Mathematics and Mechanics of Solids
15 Journal of Evolution Equations
15 Networks and Heterogeneous Media
14 Mathematische Annalen
13 SIAM Journal on Imaging Sciences
12 Journal of Statistical Physics
12 Quarterly of Applied Mathematics
12 SIAM Journal on Control and Optimization
11 Communications on Pure and Applied Mathematics
11 Numerical Methods for Partial Differential Equations
11 Communications on Pure and Applied Analysis
11 Milan Journal of Mathematics
11 Advances in Calculus of Variations
10 International Journal of Engineering Science
10 Japan Journal of Industrial and Applied Mathematics
10 Potential Analysis
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
10 Inverse Problems and Imaging
9 Computational Mechanics
9 Applications of Mathematics
9 Journal of the European Mathematical Society (JEMS)
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Geometric Flows
8 Inverse Problems
8 Journal of Fluid Mechanics
8 Journal of Mathematical Biology
8 Applied Mathematics and Optimization
8 Acta Applicandae Mathematicae
8 Journal of Dynamics and Differential Equations
8 Communications in Contemporary Mathematics
8 Advanced Nonlinear Studies
8 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
8 Analysis & PDE
7 Computers and Fluids
7 Journal of Mathematical Physics
7 Journal of the Mechanics and Physics of Solids
7 Kybernetika
7 Zeitschrift für Analysis und ihre Anwendungen
7 Applied Mathematics Letters
7 St. Petersburg Mathematical Journal
7 Computational Geosciences
7 Multiscale Modeling & Simulation
7 Evolution Equations and Control Theory
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
6 Journal of Engineering Mathematics
6 Journal of Optimization Theory and Applications
6 Manuscripta Mathematica
6 Meccanica
6 Numerical Functional Analysis and Optimization
6 Chinese Annals of Mathematics. Series B
6 Asymptotic Analysis
6 Computational Optimization and Applications
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Cited in 49 Fields

1,653 Partial differential equations (35-XX)
592 Fluid mechanics (76-XX)
586 Numerical analysis (65-XX)
555 Calculus of variations and optimal control; optimization (49-XX)
442 Mechanics of deformable solids (74-XX)
243 Biology and other natural sciences (92-XX)
192 Differential geometry (53-XX)
159 Statistical mechanics, structure of matter (82-XX)
105 Classical thermodynamics, heat transfer (80-XX)
75 Global analysis, analysis on manifolds (58-XX)
72 Operator theory (47-XX)
69 Probability theory and stochastic processes (60-XX)
59 Operations research, mathematical programming (90-XX)
54 Ordinary differential equations (34-XX)
54 Information and communication theory, circuits (94-XX)
51 Computer science (68-XX)
44 Dynamical systems and ergodic theory (37-XX)
42 Functional analysis (46-XX)
39 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
38 Real functions (26-XX)
36 Measure and integration (28-XX)
33 Integral equations (45-XX)
26 Geophysics (86-XX)
25 Optics, electromagnetic theory (78-XX)
24 Statistics (62-XX)
22 Systems theory; control (93-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Convex and discrete geometry (52-XX)
11 Potential theory (31-XX)
11 Geometry (51-XX)
11 Mechanics of particles and systems (70-XX)
10 Quantum theory (81-XX)
9 History and biography (01-XX)
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8 Functions of a complex variable (30-XX)
6 General and overarching topics; collections (00-XX)
5 Difference and functional equations (39-XX)
5 Approximations and expansions (41-XX)
4 Special functions (33-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Manifolds and cell complexes (57-XX)
2 Algebraic geometry (14-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 Number theory (11-XX)
1 Abstract harmonic analysis (43-XX)

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