## 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: https://www.aimsciences.org/journal/1556-1801http://aimsciences.org/journals/home.jsp?journalID=9 Comments: Published electronic only as of Vol. 5 (2010). Print ISSN until then: 1556-1801
 Documents Indexed: 594 Publications (since 2006) References Indexed: 265 Publications with 8,014 References.
all top 5

### Latest Issues

 17, No. 5 (2022) 17, No. 4 (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

 20 Herty, Michael Matthias 16 Piccoli, Benedetto 13 Ha, Seung-Yeal 11 Göttlich, Simone 11 Karlsen, Kenneth Hvistendahl 8 Degond, Pierre 7 Bayen, Alexandre M. 7 Bendahmane, Mostafa 7 Berlyand, Leonid V. 7 Bressan, Alberto 7 D’Apice, Ciro 7 Garavello, Mauro 7 Goatin, Paola 7 Mimura, Masayasu 6 Bastin, Georges 6 Berestycki, Henri 6 Coclite, Giuseppe Maria 6 Colombo, Rinaldo M. 6 Gugat, Martin 5 Andreianov, Boris 5 Camilli, Fabio 5 Criado, Regino 5 DeSimone, Antonio 5 Evje, Steinar 5 Hilhorst, Danielle 5 Leugering, Günter 5 Li, Zhuchun 5 Manzo, Rosanna 5 Marcellini, Francesca 5 Piatnitski, Andrey L. 5 Romance, Miguel 5 Xu, Gen-Qi 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 Kramar Fijavž, Marjeta 4 Li, Tong 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 Schmidt, Bernd 4 Seguin, Nicolas 4 Tosin, Andrea 4 Towers, John D. 3 Bellomo, Nicola 3 Blanc, Xavier 3 Caravenna, Laura 3 Chalons, Christophe 3 Chiadò Piat, Valeria 3 Choi, Sun-Ho 3 Cristiani, Emiliano 3 Dal Maso, Gianni 3 Di Ruvo, Lorenzo 3 Du, Linglong 3 Jin, Shi 3 Jost, Jürgen 3 Kolb, Oliver 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 Risebro, Nils Henrik 3 Rosini, Massimiliano Daniele 3 Ruiz-Baier, Ricardo 3 Rybalko, Volodymyr 3 Schweizer, Ben 3 Vauchelet, Nicolas 3 Visconti, Giuseppe 3 Yip, Nung Kwan 3 Yun, Seok-Bae 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 ...and 938 more Authors
all top 5

### Fields

 368 Partial differential equations (35-XX) 118 Operations research, mathematical programming (90-XX) 95 Fluid mechanics (76-XX) 94 Biology and other natural sciences (92-XX) 85 Numerical analysis (65-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 80 Mechanics of deformable solids (74-XX) 64 Systems theory; control (93-XX) 50 Statistical mechanics, structure of matter (82-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Ordinary differential equations (34-XX) 34 Dynamical systems and ergodic theory (37-XX) 32 Combinatorics (05-XX) 30 Probability theory and stochastic processes (60-XX) 24 Operator theory (47-XX) 17 General and overarching topics; collections (00-XX) 16 Computer science (68-XX) 16 Mechanics of particles and systems (70-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Information and communication theory, circuits (94-XX) 9 Integral equations (45-XX) 9 Differential geometry (53-XX) 9 Optics, electromagnetic theory (78-XX) 8 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Statistics (62-XX) 7 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 Convex and discrete geometry (52-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 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

446 Publications have been cited 3,579 times in 2,733 Documents Cited by Year
Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194
Bunting, Gary; Du, Yihong; Krakowski, Krzysztof
2012
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
2006
Gas flow in pipeline networks. Zbl 1108.76063
Banda, Mapundi K.; Herty, Michael; Klar, Axel
2006
Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052
Banda, Mapundi K.; Herty, Michael; Klar, Axel
2006
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
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
2007
A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
2013
Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328
Burger, Martin; Di Francesco, Marco
2008
Explicit solutions of some linear-quadratic mean field games. Zbl 1268.91017
Bardi, Martino
2012
Handling congestion in crowd motion modeling. Zbl 1260.49039
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo; Venel, Juliette
2011
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162
Bendahmane, Mostafa; Karlsen, Kenneth H.
2006
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
2006
A well posed Riemann problem for the $$p$$-system at a junction. Zbl 1116.35086
Colombo, Rinaldo M.; Garavello, Mauro
2006
Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011
Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario
2007
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117
Goatin, Paola; Scialanga, Sheila
2016
On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175
Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte
2009
Modeling cell movement in anisotropic and heterogeneous network tissues. Zbl 1115.92009
Chauviere, A.; Hillen, T.; Preziosi, L.
2007
Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171
Ni, Wei-Ming; Taniguchi, Masaharu
2013
Gaussian estimates for a heat equation on a network. Zbl 1142.35349
Mugnolo, Delio
2007
On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305
Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H.
2010
A-priori estimates for stationary mean-field games. Zbl 1260.49071
Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor
2012
Conservation laws with discontinuous flux. Zbl 1142.35511
Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea
2007
Numerical approximations of a traffic flow model on networks. Zbl 1124.90005
Bretti, G.; Natalini, R.; Piccoli, B.
2006
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
2015
Stationary states in gas networks. Zbl 1332.93154
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter
2015
Vertex control of flows in networks. Zbl 1154.93004
Engel, Klaus-Jochen; Kramar Fijavž, Marjeta; Nagel, Rainer; Sikolya, Eszter
2008
Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700
Fan, Shimao; Herty, Michael; Seibold, Benjamin
2014
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059
Dick, Markus; Gugat, Martin; Leugering, Günter
2010
Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051
Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien
2011
The Cauchy problem for the inhomogeneous porous medium equation. Zbl 1124.35035
Reyes, Guillermo; Vazquez, Juan Luis
2006
Optimal control problems on stratified domains. Zbl 1123.49028
Bressan, Alberto; Hong, Yunho
2007
General constrained conservation laws. Application to pedestrian flow modeling. Zbl 1275.35144
Chalons, Christophe; Goatin, Paola; Seguin, Nicolas
2013
A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017
Braides, Andrea; Solci, Margherita; Vitali, Enrico
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
2013
Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088
Gugat, Martin; Sigalotti, Mario
2010
Iterative strategies for solving linearized discrete mean field games systems. Zbl 1268.91020
Achdou, Yves; Perez, Victor
2012
Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411
Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B.
2007
Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1160.35438
Bendahmane, Mostafa
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
2015
Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817
Kurganov, Alexander; Polizzi, Anthony
2009
On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052
Bellomo, Nicola; Bellouquid, Abdelghani
2011
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
2011
Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331
Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
2008
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
2010
Modeling opinion dynamics: how the network enhances consensus. Zbl 1377.91142
Dolfin, Marina; Lachowicz, Mirosław
2015
On the derivation of linear elasticity from atomistic models. Zbl 1183.74020
Schmidt, Bernd
2009
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
2013
Existence and approximation of probability measure solutions to models of collective behaviors. Zbl 1262.35162
Tosin, Andrea; Frasca, Paolo
2011
New numerical methods for mean field games with quadratic costs. Zbl 1270.35020
Guéant, Olivier
2012
Optimization criteria for modelling intersections of vehicular traffic flow. Zbl 1131.90016
Herty, M.; Moutari, S; Rascle, M.
2006
Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045
Herty, Michael
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
2015
Numerical network models and entropy principles for isothermal junction flow. Zbl 1304.35523
2014
Tailored finite point method for the interface problem. Zbl 1187.65128
Huang, Zhongyi
2009
Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations. Zbl 1262.35009
Caetano, Filipa; Gander, Martin J.; Halpern, Laurence; Szeftel, Jérémie
2010
Empirical results for pedestrian dynamics and their implications for modeling. Zbl 1260.90057
2011
A modest proposal for MFG with density constraints. Zbl 1268.91023
Santambrogio, Filippo
2012
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
2007
Globally stable quasistatic evolution in plasticity with softening. Zbl 1156.74308
Dal Maso, G.; DeSimone, A.; Mora, M. G.; Morini, M.
2008
On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127
Cristiani, Emiliano; Sahu, Smita
2016
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.
2008
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
2018
A fluid dynamic model for supply chains. Zbl 1131.90002
D’Apice, Ciro; Manzo, Rosanna
2006
Optimal control for continuous supply network models. Zbl 1131.90009
Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel
2006
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
2007
Opinion dynamics on a general compact Riemannian manifold. Zbl 1415.91233
2017
Asymptotic synchronous behavior of Kuramoto type models with frustrations. Zbl 1333.92044
Ha, Seung-Yeal; Kim, Yongduck; Li, Zhuchun
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
2018
On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. Zbl 1262.35163
Cancès, Clément
2010
On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018
Chen, Zhangxin
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.
2007
Asymptotical compliance optimization for connected networks. Zbl 1223.49017
Buttazzo, Giuseppe; Santambrogio, Filippo
2007
Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics. Zbl 1401.34041
Ha, Seung-Yeal; Noh, Se Eun; Park, Jinyeong
2015
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177
Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille
2019
Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723
Banasiak, Jacek; Namayanja, Proscovia
2014
Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052
Mielke, Alexander; Reichelt, Sina; Thomas, Marita
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
2016
Kinetic models for polymers with inertial effects. Zbl 1183.76614
Degond, Pierre; Liu, Hailiang
2009
A novel model for intersections of vehicular traffic flow. Zbl 1187.35137
Herty, Michael; Lebacque, J.-P.; Moutari, S.
2009
Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings. Zbl 1262.65115
Blanc, Xavier; Le Bris, Claude
2010
On the variational theory of traffic flow: well-posedness, duality and applications. Zbl 1131.90014
Daganzo, Carlos F.
2006
$$k$$-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
2008
Random homogenization of fractional obstacle problems. Zbl 1156.74359
Caffarelli, Luis; Mellet, Antoine
2008
Sparse stabilization of dynamical systems driven by attraction and avoidance forces. Zbl 1333.93112
Bongini, Mattia; Fornasier, Massimo
2014
Feedback stabilization of a coupled string-beam system. Zbl 1183.93109
Ammari, Kaïs; Jellouli, Mohamed; Mehrenberger, Michel
2009
Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. Zbl 1186.35013
Chambolle, Antonin; Thouroude, Gilles
2009
Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings. Zbl 1292.78021
Bouchitté, Guy; Schweizer, Ben
2013
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
2013
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
2010
The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312
Kissling, Frederike; Rohde, Christian
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
2011
Traveling fronts guided by the environment for reaction-diffusion equations. Zbl 1270.35165
Berestycki, Henri; Chapuisat, Guillemette
2013
A semi-discrete approximation for a first order mean field game problem. Zbl 1260.91019
Camilli, Fabio; Silva, Francisco
2012
PDE problems arising in mathematical biology. Zbl 1260.49001
Friedman, Avner
2012
Self-organized network flows. Zbl 1160.90344
Helbing, Dirk; Siegmeier, Jan; Lämmer, Stefan
2007
A second order model of road junctions in fluid models of traffic networks. Zbl 1161.35443
Haut, Bertrand; Bastin, Georges
2007
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081
Choi, Young-Pil; Pignotti, Cristina
2019
Non-local multi-class traffic flow models. Zbl 1426.35153
Chiarello, Felisia Angela; Goatin, Paola
2019
Computational models for fluid exchange between microcirculation and tissue interstitium. Zbl 1305.76138
Cattaneo, Laura; Zunino, Paolo
2014
On gradient structures for Markov chains and the passage to Wasserstein gradient flows. Zbl 1372.35124
Disser, Karoline; Liero, Matthias
2015
Telegraph systems on networks and port-Hamiltonians. II: Network realizability. Zbl 1487.35385
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
2021
Opinion fitness and convergence to consensus in homogeneous and heterogeneous populations. Zbl 1468.91117
Pérez-Llanos, Mayte; Pinasco, Juan Pablo; Saintier, Nicolas
2021
Influence of a slow moving vehicle on traffic: well-posedness and approximation for a mildly nonlocal model. Zbl 1469.35146
Sylla, Abraham
2021
Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure. Zbl 1469.35141
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
2021
An inverse problem for quantum trees with observations at interior vertices. Zbl 1469.35244
Avdonin, Sergei; Edward, Julian
2021
Convergence rates for the homogenization of the Poisson problem in randomly perforated domains. Zbl 1481.35034
Giunti, Arianna
2021
Multiple patterns formation for an aggregation/diffusion predator-prey system. Zbl 1481.35054
Fagioli, Simone; Jaafra, Yahya
2021
Bi-continuous semigroups for flows on infinite networks. Zbl 1481.35367
Budde, Christian; Fijavž, Marjeta Kramar
2021
Homogenization of Bingham flow in thin porous media. Zbl 1434.76017
Anguiano, María; Bunoiu, Renata
2020
Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285
Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas
2020
Relative entropy method for the relaxation limit of hydrodynamic models. Zbl 1455.35181
Carrillo, José Antonio; Peng, Yingping; Wróblewska-Kamińska, Aneta
2020
Vanishing viscosity on a star-shaped graph under general transmission conditions at the node. Zbl 1446.35074
2020
A remark about the periodic homogenization of certain composite fibered media. Zbl 1441.35028
Murat, François; Sili, Ali
2020
Kinetic modelling of multiple interactions in socio-economic systems. Zbl 1451.35103
Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
2020
Efficient numerical methods for gas network modeling and simulation. Zbl 1457.76013
Qiu, Yue; Grundel, Sara; Stoll, Martin; Benner, Peter
2020
Deep neural network approach to forward-inverse problems. Zbl 1442.35474
Jo, Hyeontae; Son, Hwijae; Hwang, Hyung Ju; Kim, Eun Heui
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
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
2020
Special issue on mathematical models for collective dynamics. Zbl 07291680
2020
Modelling pattern formation through differential repulsion. Zbl 1451.35227
Barré, Julien; Degond, Pierre; Peurichard, Diane; Zatorska, Ewelina
2020
Swarms dynamics approach to behavioral economy: theoretical tools and price sequences. Zbl 1451.82063
Bellomo, Nicola; De Nigris, Sarah; Knopoff, Damián; Morini, Matteo; Terna, Pietro
2020
Micro- and macroscopic modeling of crowding and pushing in corridors. Zbl 1455.91175
Fischer, Michael; Jankowiak, Gaspard; Wolfram, Marie-Therese
2020
Mean field models for large data-clustering problems. Zbl 1451.82045
Herty, Michael; Pareschi, Lorenzo; Visconti, Giuseppe
2020
Bounded confidence dynamics and graph control: enforcing consensus. Zbl 1455.91181
Li, GuanLin; Motsch, Sebastien; Weber, Dylan
2020
The band-gap structure of the spectrum in a periodic medium of masonry type. Zbl 1454.35130
Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari
2020
Perturbation analysis of the effective conductivity of a periodic composite. Zbl 1451.74066
Luzzini, Paolo; Musolino, Paolo
2020
New coupling conditions for isentropic flow on networks. Zbl 1455.35193
Holle, Yannick; Herty, Michael; Westdickenberg, Michael
2020
The selection problem for some first-order stationary mean-field games. Zbl 1455.35261
Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo
2020
Convexity and starshapedness of feasible sets in stationary flow networks. Zbl 1441.90108
Gugat, Martin; Schultz, Rüdiger; Schuster, Michael
2020
Comparative study of macroscopic traffic flow models at road junctions. Zbl 1452.35098
Goatin, Paola; Rossi, Elena
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
2019
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081
Choi, Young-Pil; Pignotti, Cristina
2019
Non-local multi-class traffic flow models. Zbl 1426.35153
Chiarello, Felisia Angela; Goatin, Paola
2019
The Cardiac bidomain model and homogenization. Zbl 1423.35200
Grandelius, Erik; Karlsen, Kenneth H.
2019
Steady distribution of the incremental model for bacteria proliferation. Zbl 1428.35623
Gabriel, Pierre; Martin, Hugo
2019
Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018
Joly, Patrick; Kachanovska, Maryna; Semin, Adrien
2019
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. Zbl 1423.76045
Anguiano, María; Suárez-Grau, Francisco Javier
2019
A local sensitivity analysis for the kinetic Kuramoto equation with random inputs. Zbl 1428.35593
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook
2019
Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads. Zbl 1437.65111
Shen, Wen
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
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
2019
Compressible and viscous two-phase flow in porous media based on mixture theory formulation. Zbl 1426.65129
Qiao, Yangyang; Wen, Huanyao; Evje, Steinar
2019
A class of infinite horizon mean field games on networks. Zbl 1423.35372
Achdou, Yves; Dao, Manh-Khang; Ley, Olivier; Tchou, Nicoletta
2019
Opinion formation in voting processes under bounded confidence. Zbl 1423.90035
Pilyugin, Sergei Yu.; Campi, M. C.
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
2019
A discrete districting plan. Zbl 1433.91112
Saracco, Alberto; Saracco, Giorgio
2019
Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. Zbl 1436.60065
2019
Local weak solvability of a moving boundary problem describing swelling along a halfline. Zbl 1423.35467
2019
Optimal reinforcing networks for elastic membranes. Zbl 1426.49012
Alberti, Giovanni; Buttazzo, Giuseppe; Bianco, Serena Guarino Lo; Oudet, Édouard
2019
Well-balanced scheme for gas-flow in pipeline networks. Zbl 1435.35239
Mantri, Yogiraj; Herty, Michael; Noelle, Sebastian
2019
Controlled cellular automata. Zbl 1425.93096
Beros, Achilles; Chyba, Monique; Markovichenko, Oleksandr
2019
A network model of immigration: enclave formation vs. cultural integration. Zbl 1423.90039
Chuang, Yao-Li; Chou, Tom; D&rsquo;Orsogna, Maria R.
2019
Derivation of second order traffic flow models with time delays. Zbl 1426.35150
Burger, Michael; Göttlich, Simone; Jung, Thomas
2019
Homogenization and exact controllability for problems with imperfect interface. Zbl 1426.35022
Monsurrò, Sara; Perugia, Carmen
2019
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
2018
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
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
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
2018
Uniform stability and mean-field limit for the augmented Kuramoto model. Zbl 1405.70007
Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao
2018
Functional model for extensions of symmetric operators and applications to scattering theory. Zbl 07006654
Cherednichenko, Kirill D.; Kiselev, Alexander V.; Silva, Luis O.
2018
Traveling wave profiles for a follow-the-leader model for traffic flow with rough road condition. Zbl 1420.34095
Shen, Wen
2018
A two-dimensional data-driven model for traffic flow on highways. Zbl 1405.90044
Herty, Michael; Fazekas, Adrian; Visconti, Giuseppe
2018
On a vorticity-based formulation for reaction-diffusion-Brinkman systems. Zbl 1407.65178
Anaya, Verónica; Bendahmane, Mostafa; Mora, David; Baier, Ricardo Ruiz
2018
SIR rumor spreading model with trust rate distribution. Zbl 1412.34173
Hong, Bum Il; Hahm, Nahmwoo; Choi, Sun-Ho
2018
Optimal model switching for gas flow in pipe networks. Zbl 1420.35261
Rüffler, Fabian; Mehrmann, Volker; Hante, Falk M.
2018
Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network. Zbl 1405.35238
Guarguaglini, Francesca R.
2018
On Lennard-Jones systems with finite range interactions and their asymptotic analysis. Zbl 1407.49015
Schäffner, Mathias; Schlömerkemper, Anja
2018
Green’s function for elliptic systems: moment bounds. Zbl 1405.35025
Bella, Peter; Giunti, Arianna
2018
Entropy-preserving coupling conditions for one-dimensional Euler systems at junctions. Zbl 1405.35108
Lang, Jens; Mindt, Pascal
2018
Perturbations of minimizing movements and curves of maximal slope. Zbl 1457.35010
Tribuzio, Antonio
2018
Fluvial to torrential phase transition in open canals. Zbl 1420.35224
Briani, Maya; Piccoli, Benedetto
2018
Interior regularity to the steady incompressible shear thinning fluids with non-standard growth. Zbl 1417.35108
Bae, Hyeong-Ohk; So, Hyoungsuk; Youn, Yeonghun
2018
Crystalline evolutions in chessboard-like microstructures. Zbl 1414.53062
Malusa, Annalisa; Novaga, Matteo
2018
Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs. Zbl 1415.35166
von Below, Joachim; Lubary, José A.
2018
Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours. Zbl 1405.74011
Alicandro, Roberto; Lazzaroni, Giuliano; Palombaro, Mariapia
2018
Fisher-KPP equations and applications to a model in medical sciences. Zbl 1405.35086
Contri, Benjamin
2018
Opinion dynamics on a general compact Riemannian manifold. Zbl 1415.91233
2017
Optimal synchronization problem for a multi-agent system. Zbl 1367.49002
Cavagnari, Giulia; Marigonda, Antonio; Piccoli, Benedetto
2017
Sharp interface limit in a phase field model of cell motility. Zbl 1379.35331
Berlyand, Leonid; Potomkin, Mykhailo; Rybalko, Volodymyr
2017
Traveling waves for degenerate diffusive equations on networks. Zbl 1374.35231
Corli, Andrea; di Ruvo, Lorenzo; Malaguti, Luisa; Rosini, Massimiliano D.
2017
Transport of measures on networks. Zbl 1364.35400
Camilli, Fabio; De Maio, Raul; Tosin, Andrea
2017
Exact and positive controllability of boundary control systems. Zbl 1364.93064
Engel, Klaus-Jochen; Kramar Fijavž, Marjeta
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
2017
The Wigner-Lohe model for quantum synchronization and its emergent dynamics. Zbl 1379.35263
Antonelli, Paolo; Ha, Seung-Yeal; Kim, Dohyun; Marcati, Pierangelo
2017
Stability estimates for scalar conservation laws with moving flux constraints. Zbl 1432.35140
Goatin, Paola; Delle Monache, Maria Laura
2017
Capacity drop and traffic control for a second order traffic model. Zbl 1375.90082
Goatin, Paola; Göttlich, Simone; Kolb, Oliver
2017
Decay rates for elastic-thermoelastic star-shaped networks. Zbl 1377.35022
Han, Zhong-Jie; Zuazua, Enrique
2017
Existence of solutions to a boundary value problem for a phase transition traffic model. Zbl 1364.35192
Marcellini, Francesca
2017
A macroscopic traffic model with phase transitions and local point constraints on the flow. Zbl 1364.35191
Benyahia, Mohamed; Rosini, Massimiliano D.
2017
Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241
Gugat, Martin; Herty, Michael; Müller, Siegfried
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
2017
An improved homogenization result for immiscible compressible two-phase flow in porous media. Zbl 1361.35019
Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey
2017
The Riemann solver for traffic flow at an intersection with buffer of vanishing size. Zbl 1365.90093
Bressan, Alberto; Nordli, Anders
2017
Homogenization of Stokes system using Bloch waves. Zbl 1375.35355
Allaire, Grégoire; Ghosh, Tuhin; Vanninathan, Muthusamy
2017
Numerical approximation of a coagulation-fragmentation model for animal group size statistics. Zbl 1365.45003
Engel, Maximilian; Degond, Pierre
2017
Nonlinear flux-limited models for chemotaxis on networks. Zbl 1376.92011
Borsche, Raul; Klar, Axel; Pham, T. N. Ha
2017
A discrete Hughes model for pedestrian flow on graphs. Zbl 1357.90029
Camilli, Fabio; Festa, Adriano; Tozza, Silvia
2017
Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators. Zbl 1364.34078
Ha, Seung-Yeal; Lee, Jaeseung; Li, Zhuchun
2017
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117
Goatin, Paola; Scialanga, Sheila
2016
...and 346 more Documents
all top 5

### Cited by 3,460 Authors

 47 Ha, Seung-Yeal 46 Herty, Michael Matthias 37 Piccoli, Benedetto 36 Göttlich, Simone 30 Braides, Andrea 30 Xu, Gen-Qi 29 Gugat, Martin 28 Coclite, Giuseppe Maria 27 Du, Yihong 24 Wang, Mingxin 23 Goatin, Paola 23 Gomes, Diogo Luís Aguiar 22 Bendahmane, Mostafa 20 Carrillo de la Plata, José Antonio 19 Andreianov, Boris 19 Di Ruvo, Lorenzo 18 Cicalese, Marco 18 Garavello, Mauro 18 Rosini, Massimiliano Daniele 17 D’Apice, Ciro 16 Bellomo, Nicola 16 Kim, Dohyun 16 Tosin, Andrea 15 Colombo, Rinaldo M. 15 Nicaise, Serge 15 Stefanelli, Ulisse 14 Leugering, Günter 14 Lou, Bendong 14 Surulescu, Christina 13 Keimer, Alexander 13 Santambrogio, Filippo 13 Schweizer, Ben 12 Camilli, Fabio 12 Han, Zhongjie 12 Kolb, Oliver 12 Li, Wan-Tong 12 Porretta, Alessio 12 Tao, Youshan 12 Winkler, Michael 11 Achdou, Yves 11 Borsche, Raul 11 Cancès, Clément 11 Cannarsa, Piermarco 11 Choi, Young-Pil 11 Degond, Pierre 11 Marcellini, Francesca 11 Mugnolo, Delio 11 Muntean, Adrian 11 Panasenko, Grigory P. 11 Piatnitski, Andrey L. 11 Preziosi, Luigi 11 Prieur, Christophe 10 Beauchard, Karine 10 Bertozzi, Andrea Louise 10 Cardaliaguet, Pierre 10 Chaplain, Mark A. J. 10 Coron, Jean-Michel 10 DeSimone, Antonio 10 Di Francesco, Marco 10 Huang, Zhongyi 10 Manzo, Rosanna 10 Panov, Evgeniy Yu. 10 Punzo, Fabio 10 Risebro, Nils Henrik 10 Ruiz-Baier, Ricardo 10 Shangerganesh, Lingeshwaran 10 Shim, Woojoo 10 Towers, John D. 10 Wu, Changhong 9 Bressan, Alberto 9 Burger, Martin 9 Donadello, Carlotta 9 Gloria, Antoine 9 Guerra, Graziano 9 Karlsen, Kenneth Hvistendahl 9 Klar, Axel 9 Knopoff, Damian A. 9 Novaga, Matteo 9 Ohlberger, Mario 9 Pareschi, Lorenzo 9 Park, Hansol 9 Pflug, Lukas 9 Shen, Wen 9 Stavre, Ruxandra 9 Trucu, Dumitru 9 Wang, Zhi Cheng 9 Zanella, Mattia 9 Zhou, Maolin 8 Albi, Giacomo 8 Alicandro, Roberto 8 Bauso, Dario 8 Bretti, Gabriella 8 Bu, Zhenhui 8 Bürger, Raimund 8 Chechkin, Gregory Aleksandrovich 8 Cirant, Marco 8 Corli, Andrea 8 Cristiani, Emiliano 8 Fetecau, Razvan C. 8 Kramar Fijavž, Marjeta ...and 3,360 more Authors
all top 5

### Cited in 373 Journals

 115 Networks and Heterogeneous Media 114 Journal of Differential Equations 96 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 78 Journal of Mathematical Analysis and Applications 65 SIAM Journal on Mathematical Analysis 60 Archive for Rational Mechanics and Analysis 56 Discrete and Continuous Dynamical Systems. Series B 53 Discrete and Continuous Dynamical Systems 52 Calculus of Variations and Partial Differential Equations 44 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 43 SIAM Journal on Control and Optimization 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Automatica 35 SIAM Journal on Applied Mathematics 34 Journal of Mathematical Biology 33 Journal of Computational Physics 31 Nonlinear Analysis. Real World Applications 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Discrete and Continuous Dynamical Systems. Series S 28 Computers & Mathematics with Applications 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 Applicable Analysis 25 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Applied Mathematics and Optimization 24 NoDEA. Nonlinear Differential Equations and Applications 23 Journal of Statistical Physics 23 Applied Mathematics and Computation 23 Kinetic and Related Models 22 Acta Applicandae Mathematicae 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Journal of Scientific Computing 21 Physica D 21 Communications in Partial Differential Equations 21 Multiscale Modeling & Simulation 21 Journal of Hyperbolic Differential Equations 20 Journal of Theoretical Biology 19 Mathematical Methods in the Applied Sciences 19 Journal of Computational and Applied Mathematics 19 Numerische Mathematik 19 Dynamic Games and Applications 18 Journal of Evolution Equations 17 Journal of Mathematical Sciences (New York) 16 Nonlinearity 16 Physica A 16 Systems & Control Letters 15 International Journal of Control 15 Applied Numerical Mathematics 15 Communications on Pure and Applied Analysis 15 Mathematical Control and Related Fields 14 Bulletin of Mathematical Biology 14 SIAM Journal on Numerical Analysis 14 Applied Mathematics Letters 14 Applied Mathematical Modelling 14 Journal of Nonlinear Science 14 SIAM Journal on Scientific Computing 13 Computer Methods in Applied Mechanics and Engineering 13 Journal of Functional Analysis 13 Journal of Dynamics and Differential Equations 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal of Optimization Theory and Applications 12 Mathematical Modelling of Natural Phenomena 11 Journal of Mathematical Physics 11 Quarterly of Applied Mathematics 11 Asymptotic Analysis 10 Communications in Mathematical Physics 10 Mathematics of Computation 10 SIAM Journal on Applied Dynamical Systems 9 Journal of the Franklin Institute 9 Chaos, Solitons and Fractals 9 Advances in Mathematics 9 Numerical Methods for Partial Differential Equations 9 Vietnam Journal of Mathematics 9 Computational Geosciences 9 Mathematical Biosciences and Engineering 9 Evolution Equations and Control Theory 9 SN Partial Differential Equations and Applications 8 Continuum Mechanics and Thermodynamics 8 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Dynamics and Games 7 Computers and Fluids 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Mathematics and Computers in Simulation 7 Semigroup Forum 7 MCSS. Mathematics of Control, Signals, and Systems 7 European Journal of Applied Mathematics 7 Stochastic Processes and their Applications 7 Interfaces and Free Boundaries 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Minimax Theory and its Applications 6 Journal of the Mechanics and Physics of Solids 6 Chinese Annals of Mathematics. Series B 6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Journal of Dynamical and Control Systems 6 Annales Henri Poincaré 6 Mediterranean Journal of Mathematics 6 Boundary Value Problems 6 AIMS Mathematics 5 BIT 5 International Journal for Numerical Methods in Engineering 5 Transactions of the American Mathematical Society ...and 273 more Journals
all top 5

### Cited in 51 Fields

 1,763 Partial differential equations (35-XX) 566 Biology and other natural sciences (92-XX) 434 Numerical analysis (65-XX) 373 Fluid mechanics (76-XX) 342 Systems theory; control (93-XX) 337 Calculus of variations and optimal control; optimization (49-XX) 322 Operations research, mathematical programming (90-XX) 261 Mechanics of deformable solids (74-XX) 259 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 210 Statistical mechanics, structure of matter (82-XX) 142 Ordinary differential equations (34-XX) 139 Probability theory and stochastic processes (60-XX) 78 Operator theory (47-XX) 73 Dynamical systems and ergodic theory (37-XX) 64 Computer science (68-XX) 59 Combinatorics (05-XX) 55 Integral equations (45-XX) 49 Mechanics of particles and systems (70-XX) 34 Differential geometry (53-XX) 31 Optics, electromagnetic theory (78-XX) 30 Classical thermodynamics, heat transfer (80-XX) 21 Quantum theory (81-XX) 19 Statistics (62-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Information and communication theory, circuits (94-XX) 16 Difference and functional equations (39-XX) 15 Functional analysis (46-XX) 14 Real functions (26-XX) 13 Measure and integration (28-XX) 9 General and overarching topics; collections (00-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Geophysics (86-XX) 6 Potential theory (31-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)