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Networks and Heterogeneous Media

An Applied Mathematics Journal

Short Title: Netw. Heterog. Media
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 1556-1801; 1556-181X/e
Online: http://aimsciences.org/journals/home.jsp?journalID=9
Comments: Published electronic only as of Vol. 5 (2010). Print ISSN until then: 1556-1801
Documents Indexed: 560 Publications (since 2006)
References Indexed: 231 Publications with 6,951 References.
all top 5

Authors

19 Herty, Michael Matthias
16 Piccoli, Benedetto
11 Göttlich, Simone
11 Ha, Seung-Yeal
10 Karlsen, Kenneth Hvistendahl
8 Degond, Pierre
7 Bayen, Alexandre M.
7 Berlyand, Leonid V.
7 Bressan, Alberto
7 D’Apice, Ciro
7 Goatin, Paola
7 Mimura, Masayasu
6 Bastin, Georges
6 Bendahmane, Mostafa
6 Berestycki, Henri
6 Colombo, Rinaldo M.
6 Garavello, Mauro
6 Gugat, Martin
5 Andreianov, Boris
5 Camilli, Fabio
5 Coclite, Giuseppe Maria
5 Criado, Regino
5 DeSimone, Antonio
5 Evje, Steinar
5 Hilhorst, Danielle
5 Leugering, Günter
5 Li, Zhuchun
5 Manzo, Rosanna
5 Piatnitski, Andrey L.
5 Romance, Miguel
4 Aiki, Toyohiko
4 Benito, Rosa Maria
4 Braides, Andrea
4 Bürger, Raimund
4 Choi, Young-Pil
4 Galeano, Javier
4 Han, Zhongjie
4 Klar, Axel
4 Li, Tong
4 Marcellini, Francesca
4 Marigo, Alessia
4 Marson, Andrea
4 Merle, Frank
4 Muntean, Adrian
4 Nazarov, Sergeĭ Aleksandrovich
4 Pakdaman, Khashayar
4 Pareschi, Lorenzo
4 Santambrogio, Filippo
4 Seguin, Nicolas
4 Tosin, Andrea
4 Xu, Gen-Qi
3 Bellomo, Nicola
3 Blanc, Xavier
3 Caravenna, Laura
3 Chalons, Christophe
3 Chiadò Piat, Valeria
3 Cristiani, Emiliano
3 Dal Maso, Gianni
3 Di Ruvo, Lorenzo
3 Du, Linglong
3 Jin, Shi
3 Jost, Jürgen
3 Kolb, Oliver
3 Kramar Fijavž, Marjeta
3 Lagoutière, Frédéric
3 Lai, Anna Chiara
3 Le Bris, Claude
3 Lebacque, Jean Patrick
3 Litrico, Xavier
3 Loreti, Paola
3 Losada, Juan Carlos
3 Marchi, Claudio
3 Maury, Bertrand
3 Mishra, Siddhartha
3 Natalini, Roberto
3 Novaga, Matteo
3 Panasenko, Grigory P.
3 Pastor, Juan Manuel
3 Pastukhova, Svetlana Evgenievna
3 Rosini, Massimiliano Daniele
3 Ruiz-Baier, Ricardo
3 Rybalko, Volodymyr
3 Schmidt, Bernd
3 Schweizer, Ben
3 Towers, John D.
3 Yip, Nung Kwan
2 Achdou, Yves
2 Alicandro, Roberto
2 Allaire, Grégoire
2 Amaziane, Brahim
2 Ammari, Kais
2 Anaya, Verónica
2 Ancona, Fabio
2 Anguiano, María
2 Appert-Rolland, Cécile
2 Banda, Mapundi Kondwani
2 Barles, Guy
2 Battiston, Stefano
2 Bertsch, Michiel
2 Bongini, Mattia
...and 892 more Authors
all top 5

Fields

343 Partial differential equations (35-XX)
116 Operations research, mathematical programming (90-XX)
92 Fluid mechanics (76-XX)
87 Biology and other natural sciences (92-XX)
82 Numerical analysis (65-XX)
77 Calculus of variations and optimal control; optimization (49-XX)
74 Mechanics of deformable solids (74-XX)
62 Systems theory; control (93-XX)
48 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
44 Statistical mechanics, structure of matter (82-XX)
37 Ordinary differential equations (34-XX)
33 Dynamical systems and ergodic theory (37-XX)
30 Combinatorics (05-XX)
27 Probability theory and stochastic processes (60-XX)
22 Operator theory (47-XX)
17 General and overarching topics; collections (00-XX)
16 Computer science (68-XX)
13 Mechanics of particles and systems (70-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Differential geometry (53-XX)
9 Information and communication theory, circuits (94-XX)
8 Integral equations (45-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Statistics (62-XX)
8 Optics, electromagnetic theory (78-XX)
7 Functional analysis (46-XX)
6 Measure and integration (28-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
3 History and biography (01-XX)
3 Quantum theory (81-XX)
2 Number theory (11-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Geophysics (86-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

411 Publications have been cited 3,052 times in 2,322 Documents Cited by Year
Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194
Bunting, Gary; Du, Yihong; Krakowski, Krzysztof
114
2012
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
94
2006
Gas flow in pipeline networks. Zbl 1108.76063
Banda, Mapundi K.; Herty, Michael; Klar, Axel
72
2006
Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052
Banda, Mapundi K.; Herty, Michael; Klar, Axel
63
2006
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
59
2012
Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks. Zbl 1211.35050
Nicaise, Serge; Valein, Julie
52
2007
Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328
Burger, Martin; Di Francesco, Marco
45
2008
Explicit solutions of some linear-quadratic mean field games. Zbl 1268.91017
Bardi, Martino
44
2012
A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
39
2013
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162
Bendahmane, Mostafa; Karlsen, Kenneth H.
36
2006
A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086
Colombo, Rinaldo M.; Garavello, Mauro
34
2006
Handling congestion in crowd motion modeling. Zbl 1260.49039
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo; Venel, Juliette
34
2011
Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011
Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario
32
2007
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
32
2006
On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175
Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte
28
2009
A-priori estimates for stationary mean-field games. Zbl 1260.49071
Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor
28
2012
Conservation laws with discontinuous flux. Zbl 1142.35511
Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea
27
2007
On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305
Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H.
27
2010
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117
Goatin, Paola; Scialanga, Sheila
26
2016
Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171
Ni, Wei-Ming; Taniguchi, Masaharu
26
2013
Modeling cell movement in anisotropic and heterogeneous network tissues. Zbl 1115.92009
Chauviere, A.; Hillen, T.; Preziosi, L.
26
2007
Stationary states in gas networks. Zbl 1332.93154
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter
23
2015
Numerical approximations of a traffic flow model on networks. Zbl 1124.90005
Bretti, G.; Natalini, R.; Piccoli, B.
23
2006
Optimal control problems on stratified domains. Zbl 1123.49028
Bressan, Alberto; Hong, Yunho
21
2007
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059
Dick, Markus; Gugat, Martin; Leugering, Günter
21
2010
General constrained conservation laws. Application to pedestrian flow modeling. Zbl 1275.35144
Chalons, Christophe; Goatin, Paola; Seguin, Nicolas
20
2013
Gaussian estimates for a heat equation on a network. Zbl 1142.35349
Mugnolo, Delio
20
2007
The Cauchy problem for the inhomogeneous porous medium equation. Zbl 1124.35035
Reyes, Guillermo; Vazquez, Juan Luis
20
2006
Vertex control of flows in networks. Zbl 1154.93004
Engel, Klaus-Jochen; Kramar Fijavž, Marjeta; Nagel, Rainer; Sikolya, Eszter
19
2008
A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017
Braides, Andrea; Solci, Margherita; Vitali, Enrico
19
2007
Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051
Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien
19
2011
Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411
Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B.
18
2007
On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052
Bellomo, Nicola; Bellouquid, Abdelghani
18
2011
Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1160.35438
Bendahmane, Mostafa
17
2008
Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088
Gugat, Martin; Sigalotti, Mario
17
2010
Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700
Fan, Shimao; Herty, Michael; Seibold, Benjamin
17
2014
Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Zbl 1284.35276
Coclite, Giuseppe Maria; Di Ruvo, Lorenzo; Ernest, Jan; Mishra, Siddhartha
16
2013
From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278
Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan
16
2015
Opinion dynamics under the influence of radical groups, charismatic leaders, and other constant signals: a simple unifying model. Zbl 1332.90049
Hegselmann, Rainer; Krause, Ulrich
16
2015
Optimization criteria for modelling intersections of vehicular traffic flow. Zbl 1131.90016
Herty, M.; Moutari, S; Rascle, M.
16
2006
Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817
Kurganov, Alexander; Polizzi, Anthony
16
2009
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Zbl 1264.65161
Henning, Patrick; Ohlberger, Mario
16
2010
Existence and approximation of probability measure solutions to models of collective behaviors. Zbl 1262.35162
Tosin, Andrea; Frasca, Paolo
16
2011
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
16
2011
Numerical network models and entropy principles for isothermal junction flow. Zbl 1304.35523
Reigstad, Gunhild A.
16
2014
Globally stable quasistatic evolution in plasticity with softening. Zbl 1156.74308
Dal Maso, G.; DeSimone, A.; Mora, M. G.; Morini, M.
15
2008
Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
15
2007
New numerical methods for mean field games with quadratic costs. Zbl 1270.35020
Guéant, Olivier
15
2012
Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011
Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang
15
2015
Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331
Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
14
2008
On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127
Cristiani, Emiliano; Sahu, Smita
14
2016
Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045
Herty, Michael
14
2007
A fluid dynamic model for supply chains. Zbl 1131.90002
D’Apice, Ciro; Manzo, Rosanna
14
2006
On the derivation of linear elasticity from atomistic models. Zbl 1183.74020
Schmidt, Bernd
14
2009
Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations. Zbl 1262.35009
Caetano, Filipa; Gander, Martin J.; Halpern, Laurence; Szeftel, Jérémie
14
2010
Iterative strategies for solving linearized discrete mean field games systems. Zbl 1268.91020
Achdou, Yves; Perez, Victor
14
2012
Modeling opinion dynamics: how the network enhances consensus. Zbl 1377.91142
Dolfin, Marina; Lachowicz, Mirosław
14
2015
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586
Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D.
13
2008
Optimal control for continuous supply network models. Zbl 1131.90009
Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel
13
2006
On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018
Chen, Zhangxin
13
2006
Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2. Zbl 1127.35310
D’Apice, C.; De Maio, U.; Mel’nyk, T. A.
13
2007
Tailored finite point method for the interface problem. Zbl 1187.65128
Huang, Zhongyi
13
2009
On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. Zbl 1262.35163
Cancès, Clément
13
2010
Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models. Zbl 1277.35103
Seibold, Benjamin; Flynn, Morris R.; Kasimov, Aslan R.; Rosales, Rodolfo Ruben
13
2013
Asymptotical compliance optimization for connected networks. Zbl 1223.49017
Buttazzo, Giuseppe; Santambrogio, Filippo
12
2007
Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem. Zbl 1260.35147
Mikelić, Andro; Guidoboni, Giovanna; Čanić, Sunčica
12
2007
On the variational theory of traffic flow: well-posedness, duality and applications. Zbl 1131.90014
Daganzo, Carlos F.
12
2006
Kinetic models for polymers with inertial effects. Zbl 1183.76614
Degond, Pierre; Liu, Hailiang
12
2009
A novel model for intersections of vehicular traffic flow. Zbl 1187.35137
Herty, Michael; Lebacque, J.-P.; Moutari, S.
12
2009
Empirical results for pedestrian dynamics and their implications for modeling. Zbl 1260.90057
Schadschneider, Andreas; Seyfried, Armin
12
2011
Sparse stabilization of dynamical systems driven by attraction and avoidance forces. Zbl 1333.93112
Bongini, Mattia; Fornasier, Massimo
12
2014
Asymptotic synchronous behavior of Kuramoto type models with frustrations. Zbl 1333.92044
Ha, Seung-Yeal; Kim, Yongduck; Li, Zhuchun
12
2014
Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052
Mielke, Alexander; Reichelt, Sina; Thomas, Marita
12
2014
A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation. Zbl 1339.35175
Coclite, Giuseppe Maria; di Ruvo, Lorenzo
11
2016
Self-organized network flows. Zbl 1160.90344
Helbing, Dirk; Siegmeier, Jan; Lämmer, Stefan
11
2007
A second order model of road junctions in fluid models of traffic networks. Zbl 1161.35443
Haut, Bertrand; Bastin, Georges
11
2007
Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings. Zbl 1262.65115
Blanc, Xavier; Le Bris, Claude
11
2010
The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312
Kissling, Frederike; Rohde, Christian
11
2010
Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Zbl 1328.65190
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles
11
2011
A modest proposal for MFG with density constraints. Zbl 1268.91023
Santambrogio, Filippo
11
2012
Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics. Zbl 1401.34041
Ha, Seung-Yeal; Noh, Se Eun; Park, Jinyeong
11
2015
Comparison of the performance of four Eulerian network flow models for strategic air traffic management. Zbl 1143.90006
Sun, Dengfeng; Strub, Issam S.; Bayen, Alexandre M.
10
2007
A continuum-discrete model for supply chains dynamics. Zbl 1151.90305
Bretti, Gabriella; D’ Apice, Ciro; Manzo, Rosanna; Piccoli, B.
10
2007
Adjoint calculus for optimization of gas networks. Zbl 1141.76057
Herty, Michael; Sachers, Veronika
10
2007
Random homogenization of fractional obstacle problems. Zbl 1156.74359
Caffarelli, Luis; Mellet, Antoine
10
2008
On the passage from atomistic systems to nonlinear elasticity theory for general multi-body potentials with p-growth. Zbl 1283.49013
Braun, Julian; Schmidt, Bernd
10
2013
Traveling fronts guided by the environment for reaction-diffusion equations. Zbl 1270.35165
Berestycki, Henri; Chapuisat, Guillemette
10
2013
Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit. Zbl 1114.35012
Matano, Hiroshi; Nakamura, Ken-Ichi; Lou, Bendong
10
2006
Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. Zbl 1186.35013
Chambolle, Antonin; Thouroude, Gilles
10
2009
Distributed model predictive control of irrigation canals. Zbl 1194.93161
Negenborn, Rudy R.; van Overloop, Peter-Jules; Keviczky, Tamás; de Schutter, Bart
10
2009
Steklov problems in perforated domains with a coefficient of indefinite sign. Zbl 1262.35025
Piat, Valeria Chiado; Nazarov, Sergey S.; Piatnitski, Andrey
10
2012
Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings. Zbl 1292.78021
Bouchitté, Guy; Schweizer, Ben
9
2013
Stability of non-autonomous difference equations with applications to transport and wave propagation on networks. Zbl 1388.39008
Chitour, Yacine; Mazanti, Guilherme; Sigalotti, Mario
9
2016
On gradient structures for Markov chains and the passage to Wasserstein gradient flows. Zbl 1372.35124
Disser, Karoline; Liero, Matthias
9
2015
Conservation law models for traffic flow on a network of roads. Zbl 1335.49035
Bressan, Alberto; Nguyen, Khai T.
9
2015
A particle system in interaction with a rapidly varying environment: mean field limits and applications. Zbl 1262.60092
Bordenave, Charles; McDonald, David R.; Proutière, Alexandre
9
2010
Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays. Zbl 1258.93008
Lu, Wenlian; Atay, Fatihcan M.; Jost, Jürgen
9
2011
PDE problems arising in mathematical biology. Zbl 1260.49001
Friedman, Avner
9
2012
Computational models for fluid exchange between microcirculation and tissue interstitium. Zbl 1305.76138
Cattaneo, Laura; Zunino, Paolo
9
2014
Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication. Zbl 1459.82253
Choi, Young-Pil; Ha, Seung-Yeal; Kim, Jeongho
9
2018
Homogenization of Bingham flow in thin porous media. Zbl 1434.76017
Anguiano, María; Bunoiu, Renata
4
2020
Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285
Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas
3
2020
Relative entropy method for the relaxation limit of hydrodynamic models. Zbl 1455.35181
Carrillo, José Antonio; Peng, Yingping; Wróblewska-Kamińska, Aneta
2
2020
Kinetic modelling of multiple interactions in socio-economic systems. Zbl 1451.35103
Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
1
2020
Efficient numerical methods for gas network modeling and simulation. Zbl 1457.76013
Qiu, Yue; Grundel, Sara; Stoll, Martin; Benner, Peter
1
2020
Vanishing viscosity on a star-shaped graph under general transmission conditions at the node. Zbl 1446.35074
Coclite, Giuseppe Maria; Donadello, Carlotta
1
2020
A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity. Zbl 1446.65155
Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo
1
2020
Deep neural network approach to forward-inverse problems. Zbl 1442.35474
Jo, Hyeontae; Son, Hwijae; Hwang, Hyung Ju; Kim, Eun Heui
1
2020
Matrix valued inverse problems on graphs with application to mass-spring-damper systems. Zbl 1437.05136
Draper, Travis G.; Vasquez, Fernando Guevara; Tse, Justin Cheuk-Lum; Wallengren, Toren E.; Zheng, Kenneth
1
2020
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177
Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille
8
2019
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081
Choi, Young-Pil; Pignotti, Cristina
6
2019
Non-local multi-class traffic flow models. Zbl 1426.35153
Chiarello, Felisia Angela; Goatin, Paola
4
2019
Steady distribution of the incremental model for bacteria proliferation. Zbl 1428.35623
Gabriel, Pierre; Martin, Hugo
3
2019
The Cardiac bidomain model and homogenization. Zbl 1423.35200
Grandelius, Erik; Karlsen, Kenneth H.
3
2019
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. Zbl 1423.76045
Anguiano, María; Suárez-Grau, Francisco Javier
3
2019
A local sensitivity analysis for the kinetic Kuramoto equation with random inputs. Zbl 1428.35593
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook
3
2019
On the local and global existence of solutions to 1d transport equations with nonlocal velocity. Zbl 1428.35320
Bae, Hantaek; Granero-Belinchón, Rafael; Lazar, Omar
3
2019
Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations. Zbl 1435.35267
Nazarov, Sergei A.; Orive-Illera, Rafael; Pérez-Martínez, María-Eugenia
2
2019
Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018
Joly, Patrick; Kachanovska, Maryna; Semin, Adrien
2
2019
Compressible and viscous two-phase flow in porous media based on mixture theory formulation. Zbl 1426.65129
Qiao, Yangyang; Wen, Huanyao; Evje, Steinar
2
2019
A class of infinite horizon mean field games on networks. Zbl 1423.35372
Achdou, Yves; Dao, Manh-Khang; Ley, Olivier; Tchou, Nicoletta
2
2019
Optimal reinforcing networks for elastic membranes. Zbl 1426.49012
Alberti, Giovanni; Buttazzo, Giuseppe; Bianco, Serena Guarino Lo; Oudet, Édouard
2
2019
Opinion formation in voting processes under bounded confidence. Zbl 1423.90035
Pilyugin, Sergei Yu.; Campi, M. C.
2
2019
Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads. Zbl 1437.65111
Shen, Wen
1
2019
A discrete districting plan. Zbl 1433.91112
Saracco, Alberto; Saracco, Giorgio
1
2019
A network model of immigration: enclave formation vs. cultural integration. Zbl 1423.90039
Chuang, Yao-Li; Chou, Tom; D’Orsogna, Maria R.
1
2019
A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model. Zbl 1426.49021
Bakir, Toufik; Bonnard, Bernard; Rouot, Jérémy
1
2019
Derivation of second order traffic flow models with time delays. Zbl 1426.35150
Burger, Michael; Göttlich, Simone; Jung, Thomas
1
2019
Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. Zbl 1436.60065
Mohammed, Mogtaba; Sango, Mamadou
1
2019
Local weak solvability of a moving boundary problem describing swelling along a halfline. Zbl 1423.35467
Kumazaki, Kota; Muntean, Adrian
1
2019
Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication. Zbl 1459.82253
Choi, Young-Pil; Ha, Seung-Yeal; Kim, Jeongho
9
2018
A Godunov type scheme for a class of LWR traffic flow models with non-local flux. Zbl 07058963
Friedrich, Jan; Kolb, Oliver; Göttlich, Simone
9
2018
Uniform stability and mean-field limit for the augmented Kuramoto model. Zbl 1405.70007
Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao
8
2018
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
8
2018
Functional model for extensions of symmetric operators and applications to scattering theory. Zbl 07006654
Cherednichenko, Kirill D.; Kiselev, Alexander V.; Silva, Luis O.
6
2018
Traveling wave profiles for a follow-the-leader model for traffic flow with rough road condition. Zbl 1420.34095
Shen, Wen
5
2018
Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface. Zbl 1418.35026
Gahn, Markus; Neuss-Radu, Maria; Knabner, Peter
5
2018
Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network. Zbl 1405.35238
Guarguaglini, Francesca R.
3
2018
On a vorticity-based formulation for reaction-diffusion-Brinkman systems. Zbl 1407.65178
Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Baier, Ricardo Ruiz
3
2018
A two-dimensional data-driven model for traffic flow on highways. Zbl 1405.90044
Herty, Michael; Fazekas, Adrian; Visconti, Giuseppe
3
2018
SIR rumor spreading model with trust rate distribution. Zbl 1412.34173
Hong, Bum Il; Hahm, Nahmwoo; Choi, Sun-Ho
3
2018
On Lennard-Jones systems with finite range interactions and their asymptotic analysis. Zbl 1407.49015
Schäffner, Mathias; Schlömerkemper, Anja
2
2018
Green’s function for elliptic systems: moment bounds. Zbl 1405.35025
Bella, Peter; Giunti, Arianna
2
2018
Entropy-preserving coupling conditions for one-dimensional Euler systems at junctions. Zbl 1405.35108
Lang, Jens; Mindt, Pascal
2
2018
Optimal model switching for gas flow in pipe networks. Zbl 1420.35261
Rüffler, Fabian; Mehrmann, Volker; Hante, Falk M.
2
2018
Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours. Zbl 1405.74011
Alicandro, Roberto; Lazzaroni, Giuliano; Palombaro, Mariapia
1
2018
Fisher-KPP equations and applications to a model in medical sciences. Zbl 1405.35086
Contri, Benjamin
1
2018
Perturbations of minimizing movements and curves of maximal slope. Zbl 1457.35010
Tribuzio, Antonio
1
2018
Crystalline evolutions in chessboard-like microstructures. Zbl 1414.53062
Malusa, Annalisa; Novaga, Matteo
1
2018
Fluvial to torrential phase transition in open canals. Zbl 1420.35224
Briani, Maya; Piccoli, Benedetto
1
2018
Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs. Zbl 1415.35166
von Below, Joachim; Lubary, José A.
1
2018
Opinion dynamics on a general compact Riemannian manifold. Zbl 1415.91233
Aydoğdu, Aylin; McQuade, Sean T.; Duteil, Nastassia Pouradier
8
2017
Optimal synchronization problem for a multi-agent system. Zbl 1367.49002
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto
8
2017
Traveling waves for degenerate diffusive equations on networks. Zbl 1374.35231
Corli, Andrea; di Ruvo, Lorenzo; Malaguti, Luisa; Rosini, Massimiliano D.
6
2017
The Wigner-Lohe model for quantum synchronization and its emergent dynamics. Zbl 1379.35263
Antonelli, Paolo; Ha, Seung-Yeal; Kim, Dohyun; Marcati, Pierangelo
6
2017
Stability estimates for scalar conservation laws with moving flux constraints. Zbl 1432.35140
Goatin, Paola; Delle Monache, Maria Laura
5
2017
Exact and positive controllability of boundary control systems. Zbl 1364.93064
Engel, Klaus-Jochen; Kramar Fijavž, Marjeta
5
2017
Sharp interface limit in a phase field model of cell motility. Zbl 1379.35331
Berlyand, Leonid; Potomkin, Mykhailo; Rybalko, Volodymyr
4
2017
A multiscale model reduction method for nonlinear monotone elliptic equations in heterogeneous media. Zbl 1377.65148
Chung, Eric; Efendiev, Yalchin; Shi, Ke; Ye, Shuai
4
2017
Capacity drop and traffic control for a second order traffic model. Zbl 1375.90082
Goatin, Paola; Göttlich, Simone; Kolb, Oliver
4
2017
Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241
Gugat, Martin; Herty, Michael; Müller, Siegfried
4
2017
Transport of measures on networks. Zbl 1364.35400
Camilli, Fabio; De Maio, Raul; Tosin, Andrea
4
2017
Existence of solutions to a boundary value problem for a phase transition traffic model. Zbl 1364.35192
Marcellini, Francesca
4
2017
A macroscopic traffic model with phase transitions and local point constraints on the flow. Zbl 1364.35191
Benyahia, Mohamed; Rosini, Massimiliano D.
4
2017
Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via optogenetics. Zbl 1376.93118
Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel
3
2017
Nonlinear flux-limited models for chemotaxis on networks. Zbl 1376.92011
Borsche, Raul; Klar, Axel; Pham, T. N. Ha
2
2017
Decay rates for elastic-thermoelastic star-shaped networks. Zbl 1377.35022
Han, Zhong-Jie; Zuazua, Enrique
2
2017
A discrete Hughes model for pedestrian flow on graphs. Zbl 1357.90029
Camilli, Fabio; Festa, Adriano; Tozza, Silvia
2
2017
Homogenization of Stokes system using Bloch waves. Zbl 1375.35355
Allaire, Grégoire; Ghosh, Tuhin; Vanninathan, Muthusamy
1
2017
Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators. Zbl 1364.34078
Ha, Seung-Yeal; Lee, Jaeseung; Li, Zhuchun
1
2017
An improved homogenization result for immiscible compressible two-phase flow in porous media. Zbl 1361.35019
Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey
1
2017
The Riemann solver for traffic flow at an intersection with buffer of vanishing size. Zbl 1365.90093
Bressan, Alberto; Nordli, Anders
1
2017
Numerical approximation of a coagulation-fragmentation model for animal group size statistics. Zbl 1365.45003
Engel, Maximilian; Degond, Pierre
1
2017
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117
Goatin, Paola; Scialanga, Sheila
26
2016
On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127
Cristiani, Emiliano; Sahu, Smita
14
2016
A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation. Zbl 1339.35175
Coclite, Giuseppe Maria; di Ruvo, Lorenzo
11
2016
Stability of non-autonomous difference equations with applications to transport and wave propagation on networks. Zbl 1388.39008
Chitour, Yacine; Mazanti, Guilherme; Sigalotti, Mario
9
2016
On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws. Zbl 1339.35183
Panov, Evgeny Yu.
8
2016
A combined finite volume – finite element scheme for a dispersive shallow water system. Zbl 1431.76087
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Sainte-Marie, Jacques
6
2016
Solutions of the Aw-Rascle-Zhang system with point constraints. Zbl 1350.35119
Rosini, Massimiliano D.; Rolland, Julien Y.; Razafison, Ulrich; Donadello, Carlotta; Andreianov, Boris P.
6
2016
Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
6
2016
Homogenization of a thermal problem with flux jump. Zbl 1356.35029
Bunoiu, Renata; Timofte, Claudia
5
2016
Evolution of spoon-shaped networks. Zbl 1348.53068
Pluda, Alessandra
4
2016
Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results. Zbl 1350.35114
Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena
4
2016
Decay rates for \(1-d\) heat-wave planar networks. Zbl 1355.35023
Han, Zhong-Jie; Zuazua, Enrique
4
2016
Logarithmic estimates for continuity equations. Zbl 1343.35061
Colombo, Maria; Crippa, Gianluca; Spirito, Stefano
4
2016
Varying the direction of propagation in reaction-diffusion equations in periodic media. Zbl 1346.35104
Alfaro, Matthieu; Giletti, Thomas
3
2016
On optimization of a highly re-entrant production system. Zbl 1352.35194
D’Apice, Ciro; Kogut, Peter I.; Manzo, Rosanna
3
2016
A shallow water with variable pressure model for blood flow simulation. Zbl 1352.35200
Delestre, Olivier; Ghigo, Arthur R.; Fullana, José-Maria; Lagrée, Pierre-Yves
3
2016
A coupling between a non-linear 1D compressible-incompressible limit and the 1D \(p\)-system in the non smooth case. Zbl 1342.35232
Guerra, Graziano; Colombo, Rinaldo M.
3
2016
The escalator boxcar train method for a system of age-structured equations. Zbl 1349.92121
Gwiazda, Piotr; Kropielnicka, Karolina; Marciniak-Czochra, Anna
2
2016
On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion. Zbl 1348.35289
Karlsen, Kenneth H.; Ulusoy, Süleyman
2
2016
A steady-state mathematical model for an EOS capacitor: the effect of the size exclusion. Zbl 1354.82028
Di Michele, Federica; Rubino, Bruno; Sampalmieri, Rosella
2
2016
Relaxation approximation of Friedrichs’ systems under convex constraints. Zbl 1339.35162
Babadjian, Jean-François; Mifsud, Clément; Seguin, Nicolas
2
2016
BV regularity near the interface for nonuniform convex discontinuous flux. Zbl 1343.35050
Ghoshal, Shyam Sundar
2
2016
A note on non lower semicontinuous perimeter functionals on partitions. Zbl 1347.49080
Novaga, Matteo; Magni, Annibale
1
2016
Boundary value problem for a phase transition model. Zbl 1353.35201
Garavello, Mauro
1
2016
Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography. Zbl 1431.76032
Hiltebrand, Andreas; Mishra, Siddhartha
1
2016
One-dimensional aggregation equation after blow up: existence, uniqueness and numerical simulation. Zbl 1350.35037
James, François; Vauchelet, Nicolas
1
2016
Non-critical fractional conservation laws in domains with boundary. Zbl 1381.35210
Brassart, Matthieu
1
2016
...and 311 more Documents
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Cited by 2,952 Authors

42 Herty, Michael Matthias
38 Ha, Seung-Yeal
35 Piccoli, Benedetto
33 Göttlich, Simone
28 Gugat, Martin
28 Xu, Gen-Qi
26 Braides, Andrea
25 Coclite, Giuseppe Maria
23 Goatin, Paola
22 Du, Yihong
21 Gomes, Diogo Luís Aguiar
20 Wang, Mingxin
19 Bendahmane, Mostafa
18 Andreianov, Boris
18 Rosini, Massimiliano Daniele
17 Carrillo de la Plata, José Antonio
17 Di Ruvo, Lorenzo
16 D’Apice, Ciro
15 Cicalese, Marco
15 Garavello, Mauro
15 Tosin, Andrea
14 Lou, Bendong
14 Stefanelli, Ulisse
13 Bellomo, Nicola
13 Colombo, Rinaldo M.
13 Leugering, Günter
12 Keimer, Alexander
12 Nicaise, Serge
12 Schweizer, Ben
11 Camilli, Fabio
11 Cancès, Clément
11 Cannarsa, Piermarco
11 Kim, Dohyun
11 Panasenko, Grigory P.
11 Porretta, Alessio
11 Surulescu, Christina
11 Tao, Youshan
11 Winkler, Michael
10 Achdou, Yves
10 Beauchard, Karine
10 Bertozzi, Andrea Louise
10 Borsche, Raul
10 Chaplain, Mark A. J.
10 Degond, Pierre
10 Han, Zhongjie
10 Kolb, Oliver
10 Li, Wan-Tong
10 Manzo, Rosanna
10 Marcellini, Francesca
10 Prieur, Christophe
10 Punzo, Fabio
10 Santambrogio, Filippo
9 Bressan, Alberto
9 Burger, Martin
9 Cardaliaguet, Pierre
9 Coron, Jean-Michel
9 DeSimone, Antonio
9 Di Francesco, Marco
9 Donadello, Carlotta
9 Huang, Zhongyi
9 Novaga, Matteo
9 Panov, Evgeniy Yu.
9 Preziosi, Luigi
9 Shangerganesh, Lingeshwaran
9 Shen, Wen
9 Stavre, Ruxandra
9 Trucu, Dumitru
9 Wang, Zhi Cheng
9 Wu, Changhong
9 Zhou, Maolin
8 Bauso, Dario
8 Bu, Zhenhui
8 Bürger, Raimund
8 Chechkin, Gregory Aleksandrovich
8 Choi, Young-Pil
8 Cristiani, Emiliano
8 Gloria, Antoine
8 Guerra, Graziano
8 Knopoff, Damian A.
8 Mugnolo, Delio
8 Ohlberger, Mario
8 Pflug, Lukas
8 Risebro, Nils Henrik
8 Ruiz-Baier, Ricardo
7 Aiki, Toyohiko
7 Albi, Giacomo
7 Alicandro, Roberto
7 Bastin, Georges
7 Čanić, Sunčica
7 Cesaroni, Annalisa
7 Chalons, Christophe
7 Deng, Shijin
7 Fetecau, Razvan C.
7 Fornasier, Massimo
7 Friedrich, Manuel
7 Hante, Falk M.
7 Karlsen, Kenneth Hvistendahl
7 Kim, Doheon
7 Klar, Axel
7 Laurent, Thomas
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Cited in 340 Journals

107 Journal of Differential Equations
92 Networks and Heterogeneous Media
84 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
74 Journal of Mathematical Analysis and Applications
59 SIAM Journal on Mathematical Analysis
53 Archive for Rational Mechanics and Analysis
49 Discrete and Continuous Dynamical Systems. Series B
47 Calculus of Variations and Partial Differential Equations
47 Discrete and Continuous Dynamical Systems
43 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
38 SIAM Journal on Control and Optimization
34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 SIAM Journal on Applied Mathematics
30 Automatica
29 Journal de Mathématiques Pures et Appliquées. Neuvième Série
28 Journal of Mathematical Biology
27 Discrete and Continuous Dynamical Systems. Series S
26 Journal of Computational Physics
25 Computers & Mathematics with Applications
25 Nonlinear Analysis. Real World Applications
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
22 NoDEA. Nonlinear Differential Equations and Applications
21 Journal of Statistical Physics
20 Applicable Analysis
20 Journal of Theoretical Biology
19 Mathematical Methods in the Applied Sciences
19 Communications in Partial Differential Equations
19 Dynamic Games and Applications
18 Applied Mathematics and Computation
18 Applied Mathematics and Optimization
18 Acta Applicandae Mathematicae
18 Journal of Scientific Computing
18 Journal of Hyperbolic Differential Equations
18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
17 Journal of Computational and Applied Mathematics
17 Numerische Mathematik
17 Journal of Mathematical Sciences (New York)
17 Multiscale Modeling & Simulation
16 Physica D
15 Journal of Evolution Equations
15 Kinetic and Related Models
14 International Journal of Control
14 Nonlinearity
14 Systems & Control Letters
14 Applied Numerical Mathematics
14 Mathematical Control and Related Fields
13 Computer Methods in Applied Mechanics and Engineering
12 Bulletin of Mathematical Biology
12 Journal of Functional Analysis
12 Journal of Optimization Theory and Applications
12 Journal of Dynamics and Differential Equations
12 Journal of Nonlinear Science
12 SIAM Journal on Scientific Computing
12 Communications on Pure and Applied Analysis
12 Mathematical Modelling of Natural Phenomena
11 SIAM Journal on Numerical Analysis
11 Applied Mathematics Letters
11 Applied Mathematical Modelling
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Communications in Mathematical Physics
10 Journal of Mathematical Physics
10 Mathematics of Computation
9 Numerical Methods for Partial Differential Equations
9 Vietnam Journal of Mathematics
9 Mathematical Biosciences and Engineering
8 Journal of the Franklin Institute
8 Quarterly of Applied Mathematics
8 Continuum Mechanics and Thermodynamics
8 Computational Geosciences
7 Advances in Mathematics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Asymptotic Analysis
7 European Journal of Applied Mathematics
7 Bulletin of the Brazilian Mathematical Society. New Series
7 Minimax Theory and its Applications
6 Computers and Fluids
6 Semigroup Forum
6 Chinese Annals of Mathematics. Series B
6 MCSS. Mathematics of Control, Signals, and Systems
6 Stochastic Processes and their Applications
6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Mediterranean Journal of Mathematics
6 Evolution Equations and Control Theory
5 BIT
5 International Journal for Numerical Methods in Engineering
5 Transactions of the American Mathematical Society
5 Chaos
5 Data Mining and Knowledge Discovery
5 Interfaces and Free Boundaries
5 Journal of the European Mathematical Society (JEMS)
5 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Dynamical and Control Systems
5 Boundary Value Problems
5 The European Physical Journal B. Condensed Matter and Complex Systems
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
5 SN Partial Differential Equations and Applications
4 Acta Mechanica
4 International Journal for Numerical Methods in Fluids
4 Mathematical Biosciences
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Cited in 49 Fields

1,500 Partial differential equations (35-XX)
464 Biology and other natural sciences (92-XX)
366 Numerical analysis (65-XX)
305 Fluid mechanics (76-XX)
299 Systems theory; control (93-XX)
296 Calculus of variations and optimal control; optimization (49-XX)
284 Operations research, mathematical programming (90-XX)
223 Mechanics of deformable solids (74-XX)
220 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
152 Statistical mechanics, structure of matter (82-XX)
118 Ordinary differential equations (34-XX)
115 Probability theory and stochastic processes (60-XX)
65 Dynamical systems and ergodic theory (37-XX)
63 Operator theory (47-XX)
53 Combinatorics (05-XX)
43 Integral equations (45-XX)
43 Computer science (68-XX)
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25 Differential geometry (53-XX)
25 Optics, electromagnetic theory (78-XX)
25 Classical thermodynamics, heat transfer (80-XX)
17 Difference and functional equations (39-XX)
17 Quantum theory (81-XX)
17 Information and communication theory, circuits (94-XX)
16 Global analysis, analysis on manifolds (58-XX)
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