Networks and Heterogeneous MediaAn 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://www.aimspress.com/nhm/article/archives Comments: Journal; Published electronic only as of Vol. 5 (2010). Print ISSN until then: 1556-1801 Documents Indexed: 689 Publications (since 2006) References Indexed: 360 Publications with 11,448 References. all top 5 Latest Issues 18, No. 4 (2023) 18, No. 3 (2023) 18, No. 2 (2023) 18, No. 1 (2023) 17, No. 6 (2022) 17, No. 5 (2022) 17, No. 4 (2022) 17, No. 3 (2022) 17, No. 2 (2022) 17, No. 1 (2022) 16, No. 4 (2021) 16, No. 3 (2021) 16, No. 2 (2021) 16, No. 1 (2021) 15, No. 4 (2020) 15, No. 3 (2020) 15, No. 2 (2020) 15, No. 1 (2020) 14, No. 4 (2019) 14, No. 3 (2019) 14, No. 2 (2019) 14, No. 1 (2019) 13, No. 4 (2018) 13, No. 3 (2018) 13, No. 2 (2018) 13, No. 1 (2018) 12, No. 4 (2017) 12, No. 3 (2017) 12, No. 2 (2017) 12, No. 1 (2017) 11, No. 4 (2016) 11, No. 3 (2016) 11, No. 2 (2016) 11, No. 1 (2016) 10, No. 4 (2015) 10, No. 3 (2015) 10, No. 2 (2015) 10, No. 1 (2015) 9, No. 4 (2014) 9, No. 3 (2014) 9, No. 2 (2014) 9, No. 1 (2014) 8, No. 4 (2013) 8, No. 3 (2013) 8, No. 2 (2013) 8, No. 1 (2013) 7, No. 4 (2012) 7, No. 3 (2012) 7, No. 2 (2012) 7, No. 1 (2012) 6, No. 4 (2011) 6, No. 3 (2011) 6, No. 2 (2011) 6, No. 1 (2011) 5, No. 4 (2010) 5, No. 3 (2010) 5, No. 2 (2010) 5, No. 1 (2010) 4, No. 4 (2009) 4, No. 3 (2009) 4, No. 2 (2009) 4, No. 1 (2009) 3, No. 4 (2008) 3, No. 3 (2008) 3, No. 2 (2008) 3, No. 1 (2008) 2, No. 4 (2007) 2, No. 3 (2007) 2, No. 2 (2007) 2, No. 1 (2007) 1, No. 4 (2006) 1, No. 3 (2006) 1, No. 2 (2006) 1, No. 1 (2006) all top 5 Authors 22 Piccoli, Benedetto 21 Herty, Michael Matthias 13 Ha, Seung-Yeal 12 Göttlich, Simone 11 Karlsen, Kenneth Hvistendahl 8 Bayen, Alexandre M. 8 Colombo, Rinaldo M. 8 Degond, Pierre 8 Garavello, Mauro 8 Goatin, Paola 7 Bendahmane, Mostafa 7 Berlyand, Leonid V. 7 Bressan, Alberto 7 Coclite, Giuseppe Maria 7 D’Apice, Ciro 7 Mimura, Masayasu 6 Bastin, Georges 6 Berestycki, Henri 6 Bürger, Raimund 6 Evje, Steinar 6 Gugat, Martin 6 Marcellini, Francesca 6 Muntean, Adrian 5 Aiki, Toyohiko 5 Andreianov, Boris 5 Camilli, Fabio 5 Criado, Regino 5 DeSimone, Antonio 5 Hilhorst, Danielle 5 Leugering, Günter 5 Li, Tong 5 Li, Zhuchun 5 Manzo, Rosanna 5 Pareschi, Lorenzo 5 Piatnitski, Andrey L. 5 Romance, Miguel 5 Tosin, Andrea 5 Xu, Gen-Qi 4 Bellomo, Nicola 4 Benito, Rosa Maria 4 Braides, Andrea 4 Briani, Maya 4 Choi, Young-Pil 4 Chyba, Monique 4 Galeano, Javier 4 Han, Zhongjie 4 Klar, Axel 4 Kramar Fijavž, Marjeta 4 Marigo, Alessia 4 Marson, Andrea 4 Merle, Frank 4 Nazarov, Sergeĭ Aleksandrovich 4 Novaga, Matteo 4 Pakdaman, Khashayar 4 Ruiz-Baier, Ricardo 4 Santambrogio, Filippo 4 Schmidt, Bernd 4 Seguin, Nicolas 4 Towers, John D. 3 Ahn, Hyunjin 3 Blanc, Xavier 3 Caravenna, Laura 3 Chalons, Christophe 3 Chiadò Piat, Valeria 3 Chiarello, Felisia Angela 3 Choi, Sun-Ho 3 Cristiani, Emiliano 3 Dal Maso, Gianni 3 Delle Monache, Maria Laura 3 Di Ruvo, Lorenzo 3 Du, Linglong 3 Friedrich, Jan 3 Gong, Xiaoqian 3 Heida, Martin 3 Jin, Shi 3 Jost, Jürgen 3 Keimer, Alexander 3 Kolb, Oliver 3 Kumazaki, Kota 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 McQuade, Sean T. 3 Mishra, Siddhartha 3 Natalini, Roberto 3 Panasenko, Grigory P. 3 Pastor, Juan Manuel 3 Pastukhova, Svetlana Evgenievna 3 Risebro, Nils Henrik 3 Rosini, Massimiliano Daniele 3 Rossi, Elena 3 Rybalko, Volodymyr 3 Schweizer, Ben 3 Tang, Yanbin ...and 1,146 more Authors all top 5 Fields 407 Partial differential equations (35-XX) 128 Operations research, mathematical programming (90-XX) 116 Numerical analysis (65-XX) 110 Biology and other natural sciences (92-XX) 103 Fluid mechanics (76-XX) 84 Calculus of variations and optimal control; optimization (49-XX) 82 Mechanics of deformable solids (74-XX) 70 Systems theory; control (93-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Statistical mechanics, structure of matter (82-XX) 49 Ordinary differential equations (34-XX) 35 Dynamical systems and ergodic theory (37-XX) 33 Combinatorics (05-XX) 32 Probability theory and stochastic processes (60-XX) 31 Computer science (68-XX) 25 Operator theory (47-XX) 18 General and overarching topics; collections (00-XX) 16 Information and communication theory, circuits (94-XX) 15 Mechanics of particles and systems (70-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Integral equations (45-XX) 10 Statistics (62-XX) 9 Functional analysis (46-XX) 9 Differential geometry (53-XX) 9 Optics, electromagnetic theory (78-XX) 8 Real functions (26-XX) 8 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 501 Publications have been cited 4,485 times in 3,373 Documents Cited by ▼ Year ▼ Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194 Bunting, Gary; Du, Yihong; Krakowski, Krzysztof 155 2012 Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023 Chaplain, M. A. J.; Lolas, G. 137 2006 Gas flow in pipeline networks. Zbl 1108.76063 Banda, Mapundi K.; Herty, Michael; Klar, Axel 86 2006 Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052 Banda, Mapundi K.; Herty, Michael; Klar, Axel 82 2006 Long time average of mean field games. Zbl 1270.35098 Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio 78 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 74 2013 Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks. Zbl 1211.35050 Nicaise, Serge; Valein, Julie 64 2007 Explicit solutions of some linear-quadratic mean field games. Zbl 1268.91017 Bardi, Martino 53 2012 Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328 Burger, Martin; Di Francesco, Marco 50 2008 Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162 Bendahmane, Mostafa; Karlsen, Kenneth H. 48 2006 Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117 Goatin, Paola; Scialanga, Sheila 48 2016 Handling congestion in crowd motion modeling. Zbl 1260.49039 Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo; Venel, Juliette 48 2011 Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011 Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario 41 2007 Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco 40 2006 A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086 Colombo, Rinaldo M.; Garavello, Mauro 40 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 38 2009 Conservation laws with discontinuous flux. Zbl 1142.35511 Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea 34 2007 Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171 Ni, Wei-Ming; Taniguchi, Masaharu 34 2013 On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305 Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H. 34 2010 Modeling cell movement in anisotropic and heterogeneous network tissues. Zbl 1115.92009 Chauviere, A.; Hillen, T.; Preziosi, L. 33 2007 Gaussian estimates for a heat equation on a network. Zbl 1142.35349 Mugnolo, Delio 32 2007 Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700 Fan, Shimao; Herty, Michael; Seibold, Benjamin 31 2014 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 30 2015 Numerical approximations of a traffic flow model on networks. Zbl 1124.90005 Bretti, G.; Natalini, R.; Piccoli, B. 29 2006 The Cauchy problem for the inhomogeneous porous medium equation. Zbl 1124.35035 Reyes, Guillermo; Vazquez, Juan Luis 29 2006 A Godunov type scheme for a class of LWR traffic flow models with non-local flux. Zbl 1468.65123 Friedrich, Jan; Kolb, Oliver; Göttlich, Simone 28 2018 A-priori estimates for stationary mean-field games. Zbl 1260.49071 Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor 28 2012 Stationary states in gas networks. Zbl 1332.93154 Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter 27 2015 Optimal control problems on stratified domains. Zbl 1123.49028 Bressan, Alberto; Hong, Yunho 26 2007 A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017 Braides, Andrea; Solci, Margherita; Vitali, Enrico 26 2007 Vertex control of flows in networks. Zbl 1154.93004 Engel, Klaus-Jochen; Kramar Fijavž, Marjeta; Nagel, Rainer; Sikolya, Eszter 26 2008 On the derivation of linear elasticity from atomistic models. Zbl 1183.74020 Schmidt, Bernd 24 2009 Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059 Dick, Markus; Gugat, Martin; Leugering, Günter 24 2010 Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817 Kurganov, Alexander; Polizzi, Anthony 23 2009 Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1160.35438 Bendahmane, Mostafa 23 2008 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 23 2015 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411 Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 23 2007 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 23 2013 Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051 Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien 23 2011 Iterative strategies for solving linearized discrete mean field games systems. Zbl 1268.91020 Achdou, Yves; Perez, Victor 23 2012 General constrained conservation laws. Application to pedestrian flow modeling. Zbl 1275.35144 Chalons, Christophe; Goatin, Paola; Seguin, Nicolas 22 2013 Non-local multi-class traffic flow models. Zbl 1426.35153 Chiarello, Felisia Angela; Goatin, Paola 21 2019 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 21 2010 Empirical results for pedestrian dynamics and their implications for modeling. Zbl 1260.90057 Schadschneider, Andreas; Seyfried, Armin 21 2011 Optimization criteria for modelling intersections of vehicular traffic flow. Zbl 1131.90016 Herty, M.; Moutari, S; Rascle, M. 20 2006 Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045 Herty, Michael 20 2007 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 20 2015 Modeling opinion dynamics: how the network enhances consensus. Zbl 1377.91142 Dolfin, Marina; Lachowicz, Mirosław 20 2015 Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088 Gugat, Martin; Sigalotti, Mario 20 2010 On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052 Bellomo, Nicola; Bellouquid, Abdelghani 20 2011 Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331 Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P. 19 2008 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 19 2013 Asymptotic synchronous behavior of Kuramoto type models with frustrations. Zbl 1333.92044 Ha, Seung-Yeal; Kim, Yongduck; Li, Zhuchun 19 2014 Numerical network models and entropy principles for isothermal junction flow. Zbl 1304.35523 Reigstad, Gunhild A. 19 2014 Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313 Li, Dong; Li, Tong 19 2011 New numerical methods for mean field games with quadratic costs. Zbl 1270.35020 Guéant, Olivier 19 2012 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 18 2007 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 18 2007 Opinion dynamics on a general compact Riemannian manifold. Zbl 1415.91233 Aydoğdu, Aylin; McQuade, Sean T.; Duteil, Nastassia Pouradier 18 2017 Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052 Mielke, Alexander; Reichelt, Sina; Thomas, Marita 18 2014 Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177 Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille 18 2019 Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations. Zbl 1262.35009 Caetano, Filipa; Gander, Martin J.; Halpern, Laurence; Szeftel, Jérémie 18 2010 Tailored finite point method for the interface problem. Zbl 1187.65128 Huang, Zhongyi 17 2009 Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics. Zbl 1401.34041 Ha, Seung-Yeal; Noh, Se Eun; Park, Jinyeong 17 2015 \(k\)-core decomposition of internet graphs: hierarchies, self-similarity and measurement biases. Zbl 1145.68470 Alvarez-Hamelin, José Ignacio; Dall’Asta, Luca; Barrat, Alain; Vespignani, Alessandro 17 2008 On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127 Cristiani, Emiliano; Sahu, Smita 17 2016 Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081 Choi, Young-Pil; Pignotti, Cristina 17 2019 Existence and approximation of probability measure solutions to models of collective behaviors. Zbl 1262.35162 Tosin, Andrea; Frasca, Paolo 17 2011 A modest proposal for MFG with density constraints. Zbl 1268.91023 Santambrogio, Filippo 17 2012 PDE problems arising in mathematical biology. Zbl 1260.49001 Friedman, Avner 17 2012 A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation. Zbl 1339.35175 Coclite, Giuseppe Maria; di Ruvo, Lorenzo 16 2016 Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723 Banasiak, Jacek; Namayanja, Proscovia 16 2014 A semi-discrete approximation for a first order mean field game problem. Zbl 1260.91019 Camilli, Fabio; Silva, Francisco 16 2012 Distributed model predictive control of irrigation canals. Zbl 1194.93161 Negenborn, Rudy R.; van Overloop, Peter-Jules; Keviczky, Tamás; de Schutter, Bart 15 2009 Globally stable quasistatic evolution in plasticity with softening. Zbl 1156.74308 Dal Maso, G.; DeSimone, A.; Mora, M. G.; Morini, M. 15 2008 On gradient structures for Markov chains and the passage to Wasserstein gradient flows. Zbl 1372.35124 Disser, Karoline; Liero, Matthias 15 2015 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 15 2013 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 15 2018 A fluid dynamic model for supply chains. Zbl 1131.90002 D’Apice, Ciro; Manzo, Rosanna 14 2006 Optimal control for continuous supply network models. Zbl 1131.90009 Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel 14 2006 On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018 Chen, Zhangxin 14 2006 A second order model of road junctions in fluid models of traffic networks. Zbl 1161.35443 Haut, Bertrand; Bastin, Georges 14 2007 Feedback stabilization of a coupled string-beam system. Zbl 1183.93109 Ammari, Kaïs; Jellouli, Mohamed; Mehrenberger, Michel 14 2009 Kinetic models for polymers with inertial effects. Zbl 1183.76614 Degond, Pierre; Liu, Hailiang 14 2009 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. 14 2008 Sparse stabilization of dynamical systems driven by attraction and avoidance forces. Zbl 1333.93112 Bongini, Mattia; Fornasier, Massimo 14 2014 Computational models for fluid exchange between microcirculation and tissue interstitium. Zbl 1305.76138 Cattaneo, Laura; Zunino, Paolo 14 2014 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 14 2018 Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings. Zbl 1262.65115 Blanc, Xavier; Le Bris, Claude 14 2010 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 14 2010 On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. Zbl 1262.35163 Cancès, Clément 14 2010 Uniform stability and mean-field limit for the augmented Kuramoto model. Zbl 1405.70007 Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao 14 2018 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 Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. Zbl 1186.35013 Chambolle, Antonin; Thouroude, Gilles 13 2009 Random homogenization of fractional obstacle problems. Zbl 1156.74359 Caffarelli, Luis; Mellet, Antoine 13 2008 Asymptotical compliance optimization for connected networks. Zbl 1223.49017 Buttazzo, Giuseppe; Santambrogio, Filippo 13 2007 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 13 2018 Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143 Bellomo, Nicola; Burini, Diletta; Outada, Nisrine 13 2022 The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312 Kissling, Frederike; Rohde, Christian 13 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 13 2011 Nonlocal scalar conservation laws with discontinuous flux. Zbl 07798638 Chiarello, Felisia Angela; Coclite, Giuseppe Maria 2 2023 Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays. Zbl 07798640 Deng, Dingwen; Chen, Jingliang 2 2023 Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity. Zbl 07798628 Gu, Caihong; Tang, Yanbin 2 2023 Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure. Zbl 07798652 Chen, Junlong; Tang, Yanbin 1 2023 Numerical schemes for a class of nonlocal conservation laws: a general approach. Zbl 07798661 Friedrich, Jan; Sudha, Sanjibanee; Rathan, Samala 1 2023 Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143 Bellomo, Nicola; Burini, Diletta; Outada, Nisrine 13 2022 Compactness property of the linearized Boltzmann operator for a diatomic single gas model. Zbl 1497.76117 Brull, Stéphane; Shahine, Marwa; Thieullen, Philippe 6 2022 Well-posedness theory for nonlinear scalar conservation laws on networks. Zbl 1485.65097 Musch, Markus; Fjordholm, Ulrik Skre; Risebro, Nils Henrik 5 2022 Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Zbl 1496.35405 Erbar, Matthias; Forkert, Dominik; Maas, Jan; Mugnolo, Delio 4 2022 An explicit finite volume algorithm for vanishing viscosity solutions on a network. Zbl 1487.90206 Towers, John D. 3 2022 Mean-field limit of collective dynamics with time-varying weights. Zbl 1497.37011 Duteil, Nastassia Pouradier 3 2022 An atomistic derivation of von-Kármán plate theory. Zbl 1502.70014 Braun, Julian; Schmidt, Bernd 3 2022 Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. Zbl 1498.65016 Bertaglia, Giulia; Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu 3 2022 A measure model for the spread of viral infections with mutations. Zbl 1501.92157 Gong, Xiaoqian; Piccoli, Benedetto 3 2022 Optimization of vaccination for COVID-19 in the midst of a pandemic. Zbl 1501.92087 Luo, Qi; Weightman, Ryan; McQuade, Sean T.; Díaz, Mateo; Trélat, Emmanuel; Barbour, William; Work, Dan; Samaranayake, Samitha; Piccoli, Benedetto 3 2022 An SIR-like kinetic model tracking individuals’ viral load. Zbl 1497.92279 Marca, Rossella Della; Loy, Nadia; Tosin, Andrea 3 2022 Telegraph systems on networks and port-Hamiltonians. II: Network realizability. Zbl 1487.35385 Banasiak, Jacek; Błoch, Adam 2 2022 Homogenization of stiff inclusions through network approximation. Zbl 1489.35008 Gérard-Varet, David; Girodroux-Lavigne, Alexandre 2 2022 Nonlocal reaction traffic flow model with on-off ramps. Zbl 1490.65166 Chiarello, Felisia Angela; Contreras, Harold Deivi; Villada, Luis Miguel 1 2022 Stochastic two-scale convergence and Young measures. Zbl 1493.74101 Heida, Martin; Neukamm, Stefan; Varga, Mario 1 2022 Emergence of synchronization in Kuramoto model with frustration under general network topology. Zbl 1485.34141 Zhu, Tingting 1 2022 Stability analysis of microscopic models for traffic flow with lane changing. Zbl 1504.76010 Piu, Matteo; Puppo, Gabriella 1 2022 A periodic homogenization problem with defects rare at infinity. Zbl 1496.35044 Goudey, Rémi 1 2022 A study of computational and conceptual complexities of compartment and agent based models. Zbl 1501.92168 Kunwar, Prateek; Markovichenko, Oleksandr; Chyba, Monique; Mileyko, Yuriy; Koniges, Alice; Lee, Thomas 1 2022 Vaccination strategies through intra-compartmental dynamics. Zbl 1501.92084 Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena 1 2022 Advanced mathematical methodologies to contrast COVID-19 pandemic. Zbl 07607846 1 2022 Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph. Zbl 1465.34010 Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter 9 2021 Influence of a slow moving vehicle on traffic: well-posedness and approximation for a mildly nonlocal model. Zbl 1469.35146 Sylla, Abraham 5 2021 Opinion fitness and convergence to consensus in homogeneous and heterogeneous populations. Zbl 1468.91117 Pérez-Llanos, Mayte; Pinasco, Juan Pablo; Saintier, Nicolas 5 2021 An inverse problem for quantum trees with observations at interior vertices. Zbl 1469.35244 Avdonin, Sergei; Edward, Julian 3 2021 Multiple patterns formation for an aggregation/diffusion predator-prey system. Zbl 1481.35054 Fagioli, Simone; Jaafra, Yahya 2 2021 Bi-continuous semigroups for flows on infinite networks. Zbl 1481.35367 Budde, Christian; Fijavž, Marjeta Kramar 2 2021 A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. Zbl 1473.65095 Bürger, Raimund; Chalons, Christophe; Ordoñez, Rafael; Villada, Luis Miguel 2 2021 Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure. Zbl 1469.35141 Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G. 2 2021 Convergence rates for the homogenization of the Poisson problem in randomly perforated domains. Zbl 1481.35034 Giunti, Arianna 1 2021 Vanishing viscosity for a \(2 \times 2\) system modeling congested vehicular traffic. Zbl 1481.35271 Coclite, Giuseppe Maria; De Nitti, Nicola; Garavello, Mauro; Marcellini, Francesca 1 2021 Rumor spreading dynamics with an online reservoir and its asymptotic stability. Zbl 1478.92186 Choi, Sun-Ho; Seo, Hyowon 1 2021 Relative entropy method for the relaxation limit of hydrodynamic models. Zbl 1455.35181 Carrillo, José Antonio; Peng, Yingping; Wróblewska-Kamińska, Aneta 12 2020 Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285 Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas 11 2020 Homogenization of Bingham flow in thin porous media. Zbl 1434.76017 Anguiano, María; Bunoiu, Renata 10 2020 Deep neural network approach to forward-inverse problems. Zbl 1442.35474 Jo, Hyeontae; Son, Hwijae; Hwang, Hyung Ju; Kim, Eun Heui 7 2020 Modelling pattern formation through differential repulsion. Zbl 1451.35227 Barré, Julien; Degond, Pierre; Peurichard, Diane; Zatorska, Ewelina 6 2020 Perturbation analysis of the effective conductivity of a periodic composite. Zbl 1451.74066 Luzzini, Paolo; Musolino, Paolo 6 2020 The selection problem for some first-order stationary mean-field games. Zbl 1455.35261 Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo 6 2020 Micro- and macroscopic modeling of crowding and pushing in corridors. Zbl 1455.91175 Fischer, Michael; Jankowiak, Gaspard; Wolfram, Marie-Therese 5 2020 Kinetic modelling of multiple interactions in socio-economic systems. Zbl 1451.35103 Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia 5 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 5 2020 Vanishing viscosity on a star-shaped graph under general transmission conditions at the node. Zbl 1446.35074 Coclite, Giuseppe Maria; Donadello, Carlotta 4 2020 A remark about the periodic homogenization of certain composite fibered media. Zbl 1441.35028 Murat, François; Sili, Ali 4 2020 Mean field models for large data-clustering problems. Zbl 1451.82045 Herty, Michael; Pareschi, Lorenzo; Visconti, Giuseppe 3 2020 New coupling conditions for isentropic flow on networks. 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Zbl 07006654 Cherednichenko, Kirill D.; Kiselev, Alexander V.; Silva, Luis O. 9 2018 ...and 401 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,146 Authors 59 Ha, Seung-Yeal 55 Herty, Michael Matthias 44 Göttlich, Simone 44 Piccoli, Benedetto 36 Coclite, Giuseppe Maria 33 Gugat, Martin 32 Xu, Gen-Qi 31 Braides, Andrea 31 Du, Yihong 29 Goatin, Paola 27 Wang, Mingxin 25 Bendahmane, Mostafa 25 Gomes, Diogo Luís Aguiar 23 Carrillo de la Plata, José Antonio 23 Di Ruvo, Lorenzo 22 Andreianov, Boris 21 Cicalese, Marco 21 Rosini, Massimiliano Daniele 21 Tosin, Andrea 20 Garavello, Mauro 20 Keimer, Alexander 19 Leugering, Günter 18 Bellomo, Nicola 17 D’Apice, Ciro 17 Kim, Dohyun 16 Choi, Young-Pil 16 Colombo, Rinaldo M. 16 Nicaise, Serge 16 Stefanelli, Ulisse 16 Surulescu, Christina 15 Camilli, Fabio 15 Lou, Bendong 15 Mugnolo, Delio 15 Muntean, Adrian 15 Ruiz-Baier, Ricardo 14 Kolb, Oliver 14 Pareschi, Lorenzo 14 Pflug, Lukas 14 Santambrogio, Filippo 14 Winkler, Michael 13 Coron, Jean-Michel 13 Han, Zhongjie 13 Klar, Axel 13 Li, Wan-Tong 13 Nazarov, Sergeĭ Aleksandrovich 13 Schweizer, Ben 12 Achdou, Yves 12 Bertozzi, Andrea Louise 12 Burger, Martin 12 Bürger, Raimund 12 Cannarsa, Piermarco 12 Chaplain, Mark A. J. 12 Degond, Pierre 12 Di Francesco, Marco 12 Panasenko, Grigory P. 12 Piatnitski, Andrey L. 12 Porretta, Alessio 12 Preziosi, Luigi 12 Prieur, Christophe 12 Shim, Woojoo 12 Tao, Youshan 12 Trucu, Dumitru 12 Wu, Changhong 12 Zanella, Mattia 11 Borsche, Raul 11 Cancès, Clément 11 Cardaliaguet, Pierre 11 Chiarello, Felisia Angela 11 Friedrich, Manuel 11 Marcellini, Francesca 11 Punzo, Fabio 11 Risebro, Nils Henrik 11 Stavre, Ruxandra 11 Sun, Ningkui 11 Towers, John D. 11 Zhou, Maolin 11 Zuazua, Enrique 10 Albi, Giacomo 10 Beauchard, Karine 10 Bressan, Alberto 10 Corli, Andrea 10 DeSimone, Antonio 10 Gloria, Antoine 10 Huang, Zhongyi 10 Karlsen, Kenneth Hvistendahl 10 Kim, Jeongho 10 Knopoff, Damian A. 10 Manzo, Rosanna 10 Mel’nyk, Taras A. 10 Ohlberger, Mario 10 Panov, Evgeniy Yu. 10 Perthame, Benoît 10 Roquejoffre, Jean-Michel 10 Ryzhik, Lenya 10 Shangerganesh, Lingeshwaran 10 Shen, Wen 10 Toscani, Giuseppe 10 Wang, Zhi Cheng 10 Wang, Zhi Cheng 10 Wolfram, Marie-Therese ...and 4,046 more Authors all top 5 Cited in 415 Journals 135 Networks and Heterogeneous Media 123 Journal of Differential Equations 117 M\(^3\)AS. 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Mathématique. Académie des Sciences, Paris 14 SIAM Journal on Applied Dynamical Systems 14 Mathematical Modelling of Natural Phenomena 14 SN Partial Differential Equations and Applications 13 Asymptotic Analysis 13 Evolution Equations and Control Theory 12 Quarterly of Applied Mathematics 12 Numerical Methods for Partial Differential Equations 12 Interfaces and Free Boundaries 12 Communications in Nonlinear Science and Numerical Simulation 12 Journal of Dynamics and Games 11 Mathematics of Computation 11 Vietnam Journal of Mathematics 10 Communications in Mathematical Physics 10 Journal of the Franklin Institute 10 Advances in Mathematics 10 Continuum Mechanics and Thermodynamics 10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 9 Computational Geosciences 9 Minimax Theory and its Applications 8 Computers and Fluids 8 MCSS. Mathematics of Control, Signals, and Systems 8 Applications of Mathematics 8 Stochastic Processes and their Applications 8 Bulletin of the Brazilian Mathematical Society. New Series 8 Mediterranean Journal of Mathematics 8 Boundary Value Problems 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Mathematics and Computers in Simulation 7 Semigroup Forum 7 Transactions of the American Mathematical Society 7 The Annals of Applied Probability 7 Journal of Dynamical and Control Systems 7 Annales Henri Poincaré 7 The European Physical Journal B. Condensed Matter and Complex Systems 7 Journal of Physics A: Mathematical and Theoretical 7 Analysis & PDE 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys ...and 315 more Journals all top 5 Cited in 50 Fields 2,211 Partial differential equations (35-XX) 695 Biology and other natural sciences (92-XX) 542 Numerical analysis (65-XX) 487 Fluid mechanics (76-XX) 411 Systems theory; control (93-XX) 404 Calculus of variations and optimal control; optimization (49-XX) 376 Operations research, mathematical programming (90-XX) 320 Mechanics of deformable solids (74-XX) 319 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 249 Statistical mechanics, structure of matter (82-XX) 188 Ordinary differential equations (34-XX) 174 Probability theory and stochastic processes (60-XX) 104 Operator theory (47-XX) 89 Dynamical systems and ergodic theory (37-XX) 79 Computer science (68-XX) 73 Combinatorics (05-XX) 71 Integral equations (45-XX) 59 Mechanics of particles and systems (70-XX) 46 Differential geometry (53-XX) 39 Classical thermodynamics, heat transfer (80-XX) 38 Optics, electromagnetic theory (78-XX) 32 Quantum theory (81-XX) 26 Statistics (62-XX) 22 Difference and functional equations (39-XX) 20 Functional analysis (46-XX) 18 Real functions (26-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Information and communication theory, circuits (94-XX) 17 Measure and integration (28-XX) 10 General and overarching topics; collections (00-XX) 10 Potential theory (31-XX) 9 Approximations and expansions (41-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Geophysics (86-XX) 7 Convex and discrete geometry (52-XX) 5 Functions of a complex variable (30-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 4 Astronomy and astrophysics (85-XX) 3 Mathematical logic and foundations (03-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Associative rings and algebras (16-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year