M\(^3\)AS. Mathematical Models & Methods in Applied Sciences Short Title: Math. Models Methods Appl. Sci. Publisher: World Scientific, Singapore ISSN: 0218-2025; 1793-6314/e Online: https://www.worldscientific.com/loi/m3as Comments: Indexed cover-to-cover Documents Indexed: 2,212 Publications (since 1991) References Indexed: 1,833 Publications with 58,106 References. all top 5 Latest Issues 32, No. 9 (2022) 32, No. 8 (2022) 32, No. 7 (2022) 32, No. 6 (2022) 32, No. 5 (2022) 32, No. 4 (2022) 32, No. 3 (2022) 32, No. 2 (2022) 32, No. 1 (2022) 31, No. 14 (2021) 31, No. 13 (2021) 31, No. 12 (2021) 31, No. 11 (2021) 31, No. 10 (2021) 31, No. 9 (2021) 31, No. 8 (2021) 31, No. 7 (2021) 31, No. 6 (2021) 31, No. 5 (2021) 31, No. 4 (2021) 31, No. 3 (2021) 31, No. 2 (2021) 31, No. 1 (2021) 30, No. 14 (2020) 30, No. 13 (2020) 30, No. 12 (2020) 30, No. 11 (2020) 30, No. 10 (2020) 30, No. 9 (2020) 30, No. 8 (2020) 30, No. 7 (2020) 30, No. 6 (2020) 30, No. 5 (2020) 30, No. 4 (2020) 30, No. 3 (2020) 30, No. 2 (2020) 30, No. 1 (2020) 29, No. 13 (2019) 29, No. 12 (2019) 29, No. 11 (2019) 29, No. 10 (2019) 29, No. 9 (2019) 29, No. 8 (2019) 29, No. 7 (2019) 29, No. 6 (2019) 29, No. 5 (2019) 29, No. 4 (2019) 29, No. 3 (2019) 29, No. 2 (2019) 29, No. 1 (2019) 28, No. 14 (2018) 28, No. 13 (2018) 28, No. 12 (2018) 28, No. 11 (2018) 28, No. 10 (2018) 28, No. 9 (2018) 28, No. 8 (2018) 28, No. 7 (2018) 28, No. 6 (2018) 28, No. 5 (2018) 28, No. 4 (2018) 28, No. 3 (2018) 28, No. 2 (2018) 28, No. 1 (2018) 27, No. 14 (2017) 27, No. 13 (2017) 27, No. 12 (2017) 27, No. 11 (2017) 27, No. 10 (2017) 27, No. 9 (2017) 27, No. 8 (2017) 27, No. 7 (2017) 27, No. 6 (2017) 27, No. 5 (2017) 27, No. 4 (2017) 27, No. 3 (2017) 27, No. 2 (2017) 27, No. 1 (2017) 26, No. 14 (2016) 26, No. 13 (2016) 26, No. 12 (2016) 26, No. 11 (2016) 26, No. 10 (2016) 26, No. 9 (2016) 26, No. 8 (2016) 26, No. 7 (2016) 26, No. 6 (2016) 26, No. 5 (2016) 26, No. 4 (2016) 26, No. 3 (2016) 26, No. 2 (2016) 26, No. 1 (2016) 25, No. 14 (2015) 25, No. 13 (2015) 25, No. 12 (2015) 25, No. 11 (2015) 25, No. 10 (2015) 25, No. 9 (2015) 25, No. 8 (2015) 25, No. 7 (2015) ...and 251 more Volumes all top 5 Authors 50 Bellomo, Nicola 30 Brezzi, Franco 24 Soler, Juan S. 22 Ha, Seung-Yeal 20 Beirão da Veiga, Lourenço 19 Carrillo de la Plata, José Antonio 19 Degond, Pierre 17 Schwab, Christoph 15 Rajagopal, Kumbakonam Ramamani 15 Takizawa, Kenji 15 Tezduyar, Tayfun E. 14 Ciarlet, Philippe Gaston 14 Kawashima, Shuichi 13 Markowich, Peter Alexander 13 Süli, Endre E. 12 Barrett, John William 12 Fasano, Antonio 12 Jüngel, Ansgar 12 Russo, Alessandro 12 Schmeiser, Christian 12 Winkler, Michael 11 Bazilevs, Yuri 11 Ciarlet, Patrick jun. 11 Klar, Axel 11 Payne, Lawrence Edward 11 Tao, Youshan 10 Banasiak, Jacek 10 Nochetto, Ricardo Horacio 10 Piccoli, Benedetto 9 Babuška, Ivo 9 Bernardi, Christine 9 Chaplain, Mark A. J. 9 Choi, Young-Pil 9 Knopoff, Damian A. 9 Lachowicz, Mirosław 9 Manzini, Gianmarco 9 Marini, Luisa Donatella 9 Zuazua, Enrique 8 Bertozzi, Andrea Louise 8 De Angelis, Elena 8 Delitala, Marcello Edoardo 8 Feireisl, Eduard 8 Herty, Michael Matthias 8 Hughes, Thomas J. R. 8 Ko, Dongnam 8 Lenhart, Suzanne M. 8 Maday, Yvon 8 Mielke, Alexander 8 Nieto, Juanjo 8 Oden, John Tinsley 8 Ortner, Christoph 8 Paolini, Maurizio 8 Rocca, Elisabetta 8 Stefanelli, Ulisse 8 Toscani, Giuseppe 7 Bellouquid, Abdelghani 7 Buffa, Annalisa 7 Bulíček, Miroslav 7 Cancès, Eric 7 Colli, Pierluigi 7 Conti, Sergio 7 Coquel, Frédéric 7 Garcke, Harald 7 Gibelli, Livio 7 Jabin, Pierre-Emmanuel 7 Le Bris, Claude 7 Li, Zhiping 7 Lovadina, Carlo 7 Málek, Josef 7 Nishibata, Shinya 7 Novotný, Antonín 7 Panasenko, Grigory P. 7 Pareschi, Lorenzo 7 Pavarino, Luca Franco 7 Perthame, Benoît 7 Pinnau, René 7 Preziosi, Luigi 7 Quarteroni, Alfio M. 7 Raviart, Pierre-Arnaud 7 Sangalli, Giancarlo 7 Wang, Shu 7 Wrzosek, Dariusz M. 7 Zhu, Changjiang 6 Arnold, Douglas Norman 6 Auricchio, Ferdinando 6 Boffi, Daniele 6 Bonnet-Ben Dhia, Anne-Sophie 6 Burman, Erik 6 Chapelle, Dominique 6 de Socio, Luciano M. 6 Dolbeault, Jean 6 Duan, Renjun 6 Ducomet, Bernard 6 Fabrizio, Mauro 6 Giovangigli, Vincent 6 Goudon, Thierry 6 Grasselli, Maurizio 6 Jin, Shi 6 Joly, Patrick 6 Mauser, Norbert Julius ...and 2,885 more Authors all top 5 Fields 1,338 Partial differential equations (35-XX) 651 Fluid mechanics (76-XX) 603 Numerical analysis (65-XX) 414 Mechanics of deformable solids (74-XX) 411 Biology and other natural sciences (92-XX) 322 Statistical mechanics, structure of matter (82-XX) 209 Calculus of variations and optimal control; optimization (49-XX) 109 Optics, electromagnetic theory (78-XX) 100 Probability theory and stochastic processes (60-XX) 95 Classical thermodynamics, heat transfer (80-XX) 90 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 87 Ordinary differential equations (34-XX) 83 Integral equations (45-XX) 63 Operations research, mathematical programming (90-XX) 61 Systems theory; control (93-XX) 57 Operator theory (47-XX) 49 Quantum theory (81-XX) 45 Dynamical systems and ergodic theory (37-XX) 32 Geophysics (86-XX) 27 Mechanics of particles and systems (70-XX) 21 Functional analysis (46-XX) 16 Approximations and expansions (41-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Computer science (68-XX) 14 Differential geometry (53-XX) 14 Information and communication theory, circuits (94-XX) 12 General and overarching topics; collections (00-XX) 12 Real functions (26-XX) 11 Astronomy and astrophysics (85-XX) 10 Statistics (62-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral transforms, operational calculus (44-XX) 6 Convex and discrete geometry (52-XX) 5 Difference and functional equations (39-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,003 Publications have been cited 31,713 times in 19,176 Documents Cited by ▼ Year ▼ Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 515 2013 Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M. 513 2015 Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G. 347 2006 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 261 2014 Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge 223 1996 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 197 2008 Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136Tao, Youshan; Wang, Zhi-An 178 2013 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 175 2013 Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492Degond, Pierre; Motsch, Sébastien 173 2008 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 171 2010 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 164 2005 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128Brezzi, Franco; Russo, Alessandro 164 1994 Coupled chemotaxis fluid model. Zbl 1191.92004Lorz, Alexander 159 2010 Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342Abels, Helmut; Garcke, Harald; Grün, Günther 159 2012 Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system. Zbl 1094.92039Chaplain, M. A. J.; Lolas, G. 153 2005 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 147 2016 A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005Cañizo, J. A.; Carrillo, J. A.; Rosado, J. 143 2011 Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319Droniou, Jerome 129 2014 Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 118 2007 Stability analysis for the virtual element method. Zbl 1378.65171Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 116 2017 On fractional Choquard equations. Zbl 1323.35205d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco 115 2015 Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249Danchin, Raphaël; Paicu, Marius 114 2011 Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059Lankeit, Johannes 114 2016 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142Jérôme; Droniou; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 111 2010 Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023Hosono, Yuzo; Ilyas, Bilal 109 1995 On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066Rajagopal, K. R. 106 2007 Numerical approximations for a three-component Cahn-Hilliard phase-field model based on the invariant energy quadratization method. Zbl 1393.80003Yang, Xiaofeng; Zhao, Jia; Wang, Qi; Shen, Jie 105 2017 Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041Bolley, François; Cañizo, José A.; Carrillo, José A. 103 2011 A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo 101 2015 A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026Humphrey, J. D.; Rajagopal, K. R. 100 2002 A statistical model of criminal behavior. Zbl 1180.35530Short, M. B.; D’Orsogna, M. R.; Pasour, V. B.; Tita, G. E.; Brantingham, P. J.; Bertozzi, A. L.; Chayes, L. B. 98 2008 On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090Vila, J. P. 98 1999 General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge 96 2010 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 94 1991 Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023Ruiz, David 93 2005 ALE-VMS and ST-VMS methods for computer modeling of wind-turbine rotor aerodynamics and fluid–structure interaction. Zbl 1404.76187Bazilevs, Yuri; Hsu, Ming-Chen; Takizawa, Kenji; Tezduyar, Tayfun E. 93 2012 Space-time fluid-structure interaction methods. Zbl 1248.76118Takizawa, Kenji; Tezduyar, Tayfun E. 92 2012 A class of nonlocal models for pedestrian traffic. Zbl 1248.35213Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali 92 2012 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 91 2010 On the closure of mass balance models for tumor growth. Zbl 1016.92016Ambrosi, D.; Preziosi, L. 91 2002 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul 90 2014 Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J. 88 2019 Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123Fernandes, Paolo; Gilardi, Gianni 85 1997 Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066Szymańska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, Mirosław; Chaplain, Mark A. J. 82 2009 A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo 80 2010 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337Evans, John A.; Hughes, Thomas J. R. 80 2013 Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042Mellet, A.; Vasseur, A. 79 2007 Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204Hillen, Thomas; Painter, Kevin J.; Winkler, Michael 77 2013 Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y. 76 2013 Multiscale space-time methods for thermo-fluid analysis of a ground vehicle and its tires. Zbl 1325.76139Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi 75 2015 \(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields: application to the Stokes equations with pressure boundary conditions. Zbl 1260.35101Amrouche, Chérif; Seloula, Nour El Houda 74 2013 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065Bellomo, N.; Soler, J. 73 2012 Methods for FSI modeling of spacecraft parachute dynamics and cover separation. Zbl 1261.76013Takizawa, Kenji; Montes, Darren; Fritze, Matthew; McIntyre, Spenser; Boben, Joseph; Tezduyar, Tayfun E. 73 2013 Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 72 2007 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117Brezzi, F.; Marini, L. D.; Süli, E. 71 2004 Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi 71 2008 ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling. Zbl 1296.76113Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Long, Christopher C.; Marsden, Alison L.; Schjodt, Kathleen 71 2014 New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322Manzini, Gianmarco; Russo, Alessandro; Sukumar, N. 70 2014 A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Zbl 1336.92038Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa 70 2016 A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas 69 2008 The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091Degond, P.; Lucquin-Desreux, B. 68 1992 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029Bellomo, N.; Bellouquid, A.; Delitala, M. 68 2004 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137Bellomo, N.; Knopoff, D.; Soler, J. 67 2013 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 67 2006 Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele 66 2013 Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005Málek, J.; Rajagopal, K. R.; Růžička, M. 66 1995 Virtual element methods on meshes with small edges or faces. Zbl 1393.65049Brenner, Susanne C.; Sung, Li-Yeng 66 2018 A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 66 2013 Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E. 66 2013 Space-time VMS method for flow computations with slip interfaces (ST-SI). Zbl 1329.76345Takizawa, Kenji; Tezduyar, Tayfun E.; Mochizuki, Hiroki; Hattori, Hitoshi; Mei, Sen; Pan, Linqi; Montel, Kenneth 66 2015 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090Antonietti, P. F.; Manzini, G.; Verani, M. 66 2018 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 65 2005 Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215Schmuck, Markus 65 2009 Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325Arlotti, L.; Bellomo, N.; De Angelis, E. 64 2002 A posteriori error estimates for the finite element approximation of eigenvalue problems. Zbl 1072.65144Durán, Ricardo G.; Padra, Claudio; Rodríguez, Rodolfo 64 2003 Blood flow through a circular pipe with an impulsive pressure gradient. Zbl 1023.76060Pontrelli, Giuseppe 63 2000 Eigenelements of a general aggregation-fragmentation model. Zbl 1201.35086Doumic Jauffret, Marie; Gabriel, Pierre 62 2010 On the inviscid limit of a model for crack propagation. Zbl 1151.49014Knees, Dorothee; Mielke, Alexander; Zanini, Chiara 62 2008 Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013Friedman, Avner 62 2007 Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan 62 2015 A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Zbl 1018.65108Gosse, Laurent 62 2001 Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 61 2010 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036Bellomo, Nicola; Dogbé, Christian 61 2008 On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo 61 2012 Self-propelled interacting particle systems with roosting force. Zbl 1197.92052Carrillo, José A.; Klar, Axel; Martin, Stephan; Tiwari, Sudarshan 60 2010 The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060Bardos, Claude; Ukai, Seiji 60 1991 Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 60 2004 Decay property of regularity-loss type and application to some nonlinear hyperbolic–elliptic system. Zbl 1108.35014Hosono, Takafumi; Kawashima, Shuichi 59 2006 Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 59 2007 Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068Mielke, Alexander; Roubíček, Tomáš 59 2006 On the Oberbeck-Boussinesq approximation. Zbl 0883.76078Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R. 59 1996 On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200D’Angelo, C.; Quarteroni, A. 58 2008 Space-time VMS methods for modeling of incompressible flows at high Reynolds numbers. Zbl 1261.76037Takizawa, Kenji; Montes, Darren; McIntyre, Spenser; Tezduyar, Tayfun E. 58 2013 On the spatially homogeneous Landau equation for Maxwellian molecules. Zbl 0957.82029Villani, C. 58 1998 Predator-prey model with diffusion and indirect prey-taxis. Zbl 1349.92133Tello, J. Ignacio; Wrzosek, Dariusz 58 2016 Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 06761738Tao, Youshan; Winkler, Michael 58 2017 Asymptotic behavior of global solutions to a model of cell invasion. Zbl 1213.35250Liţcanu, Gabriela; Morales-Rodrigo, Cristian 56 2010 On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070Li, Dong; Li, Tong; Zhao, Kun 56 2011 Some results on partial differential equations and Asian options. Zbl 1034.35166Barucci, E.; Polidoro, S.; Vespri, V. 56 2001 Mathematical methods and tools of kinetic theory towards modelling complex biological systems. Zbl 1093.82016Bellouquid, Abdelghani; Delitala, Marcello 56 2005 Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M. 3 2022 A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics. Zbl 1483.35243Chave, Florent; Di Pietro, Daniele A.; Lemaire, Simon 2 2022 Elasto-plastic evolution of single crystals driven by dislocation flow. Zbl 07544557Hudson, Thomas; Rindler, Filip 1 2022 Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1492.78005Davoli, Elisa; Di Fratta, Giovanni; Praetorius, Dirk; Ruggeri, Michele 1 2022 Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433Kaltenbacher, Barbara; Nikolić, Vanja 1 2022 Weak-strong uniqueness for energy-reaction-diffusion systems. Zbl 1491.35007Hopf, Katharina 1 2022 Repulsive chemotaxis and predator evasion in predator-prey models with diffusion and prey-taxis. Zbl 1486.92175Mishra, Purnedu; Wrzosek, Dariusz 1 2022 Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro 1 2022 Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation. Zbl 1485.65063Alfonsi, Aurélien; Coyaud, Rafaël; Ehrlacher, Virginie 1 2022 Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: mean-field limit and convergence. Zbl 1485.35361Ha, Seung-Yeal; Kang, Myeongju; Kim, Dohyun; Kim, Jeongho; Yang, Insoon 1 2022 Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka-Volterra competitive kinetics. Zbl 07423812Ren, Guoqiang; Liu, Bin 12 2021 What is life? A perspective of the mathematical kinetic theory of active particles. Zbl 1480.92012Bellomo, Nicola; Burini, Diletta; Dosi, Giovanni; Gibelli, Livio; Knopoff, Damian; Outada, Nisrine; Terna, Pietro; Virgillito, Maria Enrica 10 2021 Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. Zbl 1473.92006Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo 9 2021 A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations. Zbl 1478.65110Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco 6 2021 The one-phase fractional Stefan problem. Zbl 1473.80010del Teso, Félix; Endal, Jørgen; Vázquez, Juan Luis 6 2021 From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit. Zbl 1473.35570Grassi, Sara; Pareschi, Lorenzo 6 2021 Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains. Zbl 1480.35016Höfer, Richard M.; Kowalczyk, Karina; Schwarzacher, Sebastian 5 2021 Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of COVID-19 in Italy. Zbl 1478.92178Bertaglia, Giulia; Pareschi, Lorenzo 5 2021 A kinetic theory approach for 2D crowd dynamics with emotional contagion. Zbl 1473.35584Kim, Daewa; O’Connell, Kaylie; Ott, William; Quaini, Annalisa 5 2021 Equilibrium analysis of an immersed rigid leaflet by the virtual element method. Zbl 1490.74027Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G. 5 2021 Model predictive control with random batch methods for a guiding problem. Zbl 1476.49038Ko, Dongnam; Zuazua, Enrique 5 2021 Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain. Zbl 1481.35049Choi, Young-Pil; Jung, Jinwook 4 2021 Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. Zbl 1473.92007Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan 4 2021 Disease contagion models coupled to crowd motion and mesh-free simulation. Zbl 1498.92188Abdul Salam, Parveena Shamim; Bock, Wolfgang; Klar, Axel; Tiwari, Sudarshan 4 2021 Negligibility of haptotaxis effect in a chemotaxis-haptotaxis model. Zbl 07423866Jin, Hai-Yang; Xiang, Tian 4 2021 A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems. Zbl 1473.65188D’Elia, Marta; Gunzburger, Max; Vollmann, Christian 4 2021 On a nonlocal Cahn-Hilliard model permitting sharp interfaces. 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Zbl 1485.35357Bellomo, N.; Brezzi, F. 1 2021 Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth. Zbl 1473.92021Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta 1 2021 Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system. Zbl 1477.35043Duong, G. K.; Kavallaris, N. I.; Zaag, H. 1 2021 A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica 37 2020 The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171Beirão da Veiga, L.; Dassi, F.; Vacca, G. 26 2020 A unified multiscale vision of behavioral crowds. 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Zbl 1451.35218Degond, Pierre; Merino-Aceituno, Sara 5 2020 Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Zbl 1451.35226Rodríguez, Nancy; Winkler, Michael 5 2020 From particles to firms: on the kinetic theory of climbing up evolutionary landscapes. Zbl 1445.82020Bellomo, Nicola; Dosi, Giovanni; Knopoff, Damián A.; Virgillito, Maria Enrica 5 2020 ...and 1745 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 16,927 Authors 134 Ha, Seung-Yeal 98 Bellomo, Nicola 98 Carrillo de la Plata, José Antonio 98 Winkler, Michael 94 Beirão da Veiga, Lourenço 86 Degond, Pierre 84 Bazilevs, Yuri 77 Hughes, Thomas J. 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