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: 2,182 Publications (since 1991) References Indexed: 1,803 Publications with 56,468 References. all top 5 Latest Issues 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) 25, No. 6 (2015) 25, No. 5 (2015) 25, No. 4 (2015) 25, No. 3 (2015) 25, No. 2 (2015) 25, No. 1 (2015) ...and 245 more Volumes all top 5 Authors 49 Bellomo, Nicola 30 Brezzi, Franco 22 Soler, Juan S. 21 Ha, Seung-Yeal 19 Beirão da Veiga, Lourenço 19 Degond, Pierre 18 Carrillo de la Plata, José Antonio 17 Schwab, Christoph 15 Takizawa, Kenji 15 Tezduyar, Tayfun E. 14 Ciarlet, Philippe Gaston 14 Rajagopal, Kumbakonam Ramamani 13 Kawashima, Shuichi 13 Markowich, Peter Alexander 13 Süli, Endre E. 12 Barrett, John W. 12 Fasano, Antonio 12 Jüngel, Ansgar 12 Russo, Alessandro 12 Schmeiser, Christian 11 Bazilevs, Yuri 11 Ciarlet, Patrick jun. 11 Klar, Axel 11 Payne, Lawrence Edward 11 Winkler, Michael 10 Banasiak, Jacek 10 Nochetto, Ricardo Horacio 10 Piccoli, Benedetto 10 Tao, Youshan 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 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 Coquel, Frédéric 7 Garcke, Harald 7 Gibelli, Livio 7 Jabin, Pierre-Emmanuel 7 Ko, Dongnam 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 Raviart, Pierre-Arnaud 7 Sangalli, Giancarlo 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 Conti, Sergio 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 Joly, Patrick 6 Mauser, Norbert Julius 6 Mikelić, Andro 6 Orenga, Pierre 6 Protopopescu, Vladimir A. ...and 2,830 more Authors all top 5 Fields 1,315 Partial differential equations (35-XX) 646 Fluid mechanics (76-XX) 598 Numerical analysis (65-XX) 407 Mechanics of deformable solids (74-XX) 400 Biology and other natural sciences (92-XX) 320 Statistical mechanics, structure of matter (82-XX) 203 Calculus of variations and optimal control; optimization (49-XX) 108 Optics, electromagnetic theory (78-XX) 97 Probability theory and stochastic processes (60-XX) 95 Classical thermodynamics, heat transfer (80-XX) 87 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 86 Ordinary differential equations (34-XX) 83 Integral equations (45-XX) 61 Operations research, mathematical programming (90-XX) 59 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) 17 Differential geometry (53-XX) 16 Approximations and expansions (41-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Computer science (68-XX) 14 Information and communication theory, circuits (94-XX) 12 General and overarching topics; collections (00-XX) 11 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 Topological groups, Lie groups (22-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Manifolds and cell complexes (57-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 General topology (54-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 1,955 Publications have been cited 28,874 times in 17,791 Documents Cited by ▼ Year ▼ Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M. 451 2015 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 437 2013 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. 332 2006 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 217 2014 Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge 205 1996 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 187 2008 Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492Degond, Pierre; Motsch, Sébastien 163 2008 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128Brezzi, Franco; Russo, Alessandro 162 1994 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 162 2010 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 157 2013 Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136Tao, Youshan; Wang, Zhi-An 152 2013 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 151 2005 Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342Abels, Helmut; Garcke, Harald; Grün, Günther 145 2012 Coupled chemotaxis fluid model. Zbl 1191.92004Lorz, Alexander 143 2010 A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005Cañizo, J. A.; Carrillo, J. A.; Rosado, J. 138 2011 Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system. Zbl 1094.92039Chaplain, M. A. J.; Lolas, G. 137 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. 117 2016 Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319Droniou, Jerome 115 2014 Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 106 2007 Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249Danchin, Raphaël; Paicu, Marius 106 2011 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 105 2010 On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066Rajagopal, K. R. 101 2007 Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023Hosono, Yuzo; Ilyas, Bilal 98 1995 A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026Humphrey, J. D.; Rajagopal, K. R. 97 2002 Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059Lankeit, Johannes 97 2016 On fractional Choquard equations. Zbl 1323.35205d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco 96 2015 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 93 1991 Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041Bolley, François; Cañizo, José A.; Carrillo, José A. 93 2011 On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090Vila, J. P. 91 1999 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 90 2017 Stability analysis for the virtual element method. Zbl 1378.65171Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 90 2017 Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023Ruiz, David 90 2005 Space-time fluid-structure interaction methods. Zbl 1248.76118Takizawa, Kenji; Tezduyar, Tayfun E. 90 2012 General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge 89 2010 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. 87 2008 A class of nonlocal models for pedestrian traffic. Zbl 1248.35213Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali 87 2012 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. 87 2012 On the closure of mass balance models for tumor growth. Zbl 1016.92016Ambrosi, D.; Preziosi, L. 84 2002 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul 84 2014 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 83 2010 Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123Fernandes, Paolo; Gilardi, Gianni 82 1997 A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo 80 2015 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337Evans, John A.; Hughes, Thomas J. R. 75 2013 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. 73 2009 Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042Mellet, A.; Vasseur, A. 72 2007 A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo 72 2010 \(L^p\)-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 71 2013 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. 70 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 69 2015 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065Bellomo, N.; Soler, J. 69 2012 Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204Hillen, Thomas; Painter, Kevin J.; Winkler, Michael 68 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. 68 2007 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 68 2014 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029Bellomo, N.; Bellouquid, A.; Delitala, M. 67 2004 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117Brezzi, F.; Marini, L. D.; Süli, E. 67 2004 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137Bellomo, N.; Knopoff, D.; Soler, J. 67 2013 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. 67 2019 The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091Degond, P.; Lucquin-Desreux, B. 66 1992 Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E. 65 2013 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 64 2005 Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi 64 2008 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 64 2013 A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas 63 2008 Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y. 63 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. 62 1995 Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325Arlotti, L.; Bellomo, N.; De Angelis, E. 62 2002 New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322Manzini, Gianmarco; Russo, Alessandro; Sukumar, N. 62 2014 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 62 2015 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 62 2006 A posteriori error estimates for the finite element approximation of eigenvalue problems. Zbl 1072.65144Durán, Ricardo G.; Padra, Claudio; Rodríguez, Rodolfo 61 2003 A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Zbl 1336.92038Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa 61 2016 Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215Schmuck, Markus 60 2009 Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 59 2007 On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo 59 2012 Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 58 2004 Self-propelled interacting particle systems with roosting force. Zbl 1197.92052Carrillo, José A.; Klar, Axel; Martin, Stephan; Tiwari, Sudarshan 58 2010 On the inviscid limit of a model for crack propagation. Zbl 1151.49014Knees, Dorothee; Mielke, Alexander; Zanini, Chiara 58 2008 Eigenelements of a general aggregation-fragmentation model. Zbl 1201.35086Doumic Jauffret, Marie; Gabriel, Pierre 57 2010 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036Bellomo, Nicola; Dogbé, Christian 57 2008 Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan 57 2015 Mathematical methods and tools of kinetic theory towards modelling complex biological systems. Zbl 1093.82016Bellouquid, Abdelghani; Delitala, Marcello 56 2005 On the Oberbeck-Boussinesq approximation. Zbl 0883.76078Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R. 56 1996 A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Zbl 1018.65108Gosse, Laurent 56 2001 Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013Friedman, Avner 56 2007 A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 56 2013 The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060Bardos, Claude; Ukai, Seiji 55 1991 On the spatially homogeneous Landau equation for Maxwellian molecules. Zbl 0957.82029Villani, C. 55 1998 Decay property of regularity-loss type and application to some nonlinear hyperbolic–elliptic system. Zbl 1108.35014Hosono, Takafumi; Kawashima, Shuichi 55 2006 Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068Mielke, Alexander; Roubíček, Tomáš 55 2006 Space-time VMS methods for modeling of incompressible flows at high Reynolds numbers. Zbl 1261.76037Takizawa, Kenji; Montes, Darren; McIntyre, Spenser; Tezduyar, Tayfun E. 55 2013 On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200D’Angelo, C.; Quarteroni, A. 54 2008 The classical limit of a self-consistent quantum-Vlasov equation in 3D. Zbl 0772.35061Markowich, Peter A.; Mauser, Norbert J. 53 1993 Some results on partial differential equations and Asian options. Zbl 1034.35166Barucci, E.; Polidoro, S.; Vespri, V. 53 2001 Computation of mean field equilibria in economics. Zbl 1193.91018Lachapelle, Aime; Salomon, Julien; Turinici, Gabriel 53 2010 Rectangular mixed finite elements for elasticity. Zbl 1077.74044Arnold, Douglas N.; Awanou, Gerard 52 2005 On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061Bellomo, N.; Delitala, M.; Coscia, V. 52 2002 A parallel solver for reaction-diffusion systems in computational electrocardiology. Zbl 1068.92024Colli Franzone, Piero; Pavarino, Luca F. 51 2004 Maximum entropy for reduced moment problems. Zbl 1012.44005Junk, Michael 51 2000 Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1174.82329Mieussens, Luc 51 2000 Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 51 2010 Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka-Volterra competitive kinetics. Zbl 07423812Ren, Guoqiang; Liu, Bin 4 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 4 2021 Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. Zbl 1473.92006Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo 3 2021 A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 07423790Rohde, Christian; von Wolff, Lars 2 2021 DG approach to large bending plate deformations with isometry constraint. Zbl 1473.65287Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitrios 2 2021 A kinetic theory approach for 2D crowd dynamics with emotional contagion. Zbl 1473.35584Kim, Daewa; O’Connell, Kaylie; Ott, William; Quaini, Annalisa 2 2021 Equilibrium analysis of an immersed rigid leaflet by the virtual element method. Zbl 07423865Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G. 2 2021 Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain. Zbl 1481.35049Choi, Young-Pil; Jung, Jinwook 2 2021 The one-phase fractional Stefan problem. Zbl 1473.80010del Teso, Félix; Endal, Jørgen; Vázquez, Juan Luis 1 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 1 2021 On the optimality of the rock-salt structure among lattices with charge distributions. Zbl 07423796Bétermin, Laurent; Faulhuber, Markus; Knüpfer, Hans 1 2021 Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces. Zbl 1483.35267Carrillo, José A.; Choi, Young-Pil; Jung, Jinwook 1 2021 Linear instability of \(Z\)-pinch in plasma: inviscid case. Zbl 1473.35436Bian, Dongfen; Guo, Yan; Tice, Ian 1 2021 Asymptotic profile of a two-dimensional chemotaxis-Navier-Stokes system with singular sensitivity and logistic source. Zbl 07423802Pang, Peter Y. H.; Wang, Yifu; Yin, Jingxue 1 2021 Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods. Zbl 1473.65178Cangiani, Andrea; Georgoulis, Emmanuil H.; Sutton, Oliver J. 1 2021 Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen-Cahn phase-field model. Zbl 1473.65247Yang, Xiaofeng 1 2021 Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation. Zbl 1475.92218Kim, Jeongho; Poyato, David; Soler, Juan 1 2021 Disease contagion models coupled to crowd motion and mesh-free simulation. Zbl 07423863Abdul Salam, Parveena Shamim; Bock, Wolfgang; Klar, Axel; Tiwari, Sudarshan 1 2021 Negligibility of haptotaxis effect in a chemotaxis-haptotaxis model. Zbl 07423866Jin, Hai-Yang; Xiang, Tian 1 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 1 2021 Model predictive control with random batch methods for a guiding problem. Zbl 1476.49038Ko, Dongnam; Zuazua, Enrique 1 2021 From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit. Zbl 1473.35570Grassi, Sara; Pareschi, Lorenzo 1 2021 The curl-curl conforming virtual element method for the quad-curl problem. Zbl 1473.65325Zhao, Jikun; Zhang, Bei 1 2021 Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity. Zbl 1480.76167Lattanzio, Corrado; Zhelyazov, Delyan 1 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 1 2021 Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. Zbl 1482.35277Rocca, Elisabetta; Scarpa, Luca; Signori, Andrea 1 2021 A \(p\)-robust polygonal discontinuous Galerkin method with minus one stabilization. Zbl 07466872Bertoluzza, Silvia; Perugia, Ilaria; Prada, Daniele 1 2021 Linearized von Kármán theory for incompressible magnetoelastic plates. Zbl 1482.74109Bresciani, Marco 1 2021 On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Zbl 07466894Bulíček, Miroslav; Maringová, Erika; Málek, Josef 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 19 2020 The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171Beirão da Veiga, L.; Dassi, F.; Vacca, G. 15 2020 A unified multiscale vision of behavioral crowds. Zbl 1434.91046Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro 15 2020 Convergence of a first-order consensus-based global optimization algorithm. Zbl 1467.90040Ha, Seung-Yeal; Jin, Shi; Kim, Doheon 10 2020 Asymptotic dynamics on a chemotaxis-Navier-Stokes system with nonlinear diffusion and inhomogeneous boundary conditions. Zbl 1452.35228Wu, Chunyan; Xiang, Zhaoyin 9 2020 Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment. Zbl 1451.35225Kim, Daewa; Quaini, Annalisa 9 2020 Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F. 9 2020 Measure-valued opinion dynamics. Zbl 1434.35249Pedraza, L.; Pinasco, J. P.; Saintier, N. 8 2020 Instability of the abstract Rayleigh-Taylor problem and applications. Zbl 1462.76070Jiang, Fei; Jiang, Song; Zhan, Weicheng 8 2020 Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation. Zbl 1451.92065Wang, Yulan 7 2020 Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution. Zbl 1444.35138Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe 7 2020 Global boundedness and asymptotic behavior in a quasilinear attraction-repulsion chemotaxis model with nonlinear signal production and logistic-type source. Zbl 1466.35046Ren, Guoqiang; Liu, Bin 7 2020 Coarse-graining via EDP-convergence for linear fast-slow reaction systems. Zbl 1454.60113Mielke, Alexander; Stephan, Artur 6 2020 On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes phase-field model and its error analysis for the corresponding Cahn-Hilliard-Stokes case. Zbl 1471.65106Li, Xiaoli; Shen, Jie 6 2020 Global radial renormalized solution to a producer-scrounger model with singular sensitivities. Zbl 1452.35215Cao, Xinru 5 2020 Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. Zbl 1444.92040Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta 5 2020 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 5 2020 Critical thresholds in one-dimensional damped Euler-Poisson systems. Zbl 1453.35145Bhatnagar, Manas; Liu, Hailiang 5 2020 Stability of the composite wave for compressible Navier-Stokes/Allen-Cahn system. Zbl 1442.35348Luo, Ting; Yin, Haiyan; Zhu, Changjiang 5 2020 Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. Zbl 1443.92058Choi, Kyudong; Kang, Moon-Jin; Kwon, Young-Sam; Vasseur, Alexis F. 5 2020 Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models. Zbl 1471.65143Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Philo, Fadi 5 2020 Global generalized solutions to a forager-exploiter model with superlinear degradation and their eventual regularity properties. Zbl 1450.35138Black, Tobias 4 2020 Global bounded solution of the higher-dimensional forager-exploiter model with/without growth sources. Zbl 1453.35171Wang, Jianping; Wang, Mingxin 4 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 4 2020 A kinetic theory approach for modelling tumour and macrophages heterogeneity and plasticity during cancer progression. Zbl 1453.92072Eftimie, R.; Gibelli, L. 4 2020 Asymptotic behavior and control of a “Guidance by repulsion” model. Zbl 1451.93306Ko, Dongnam; Zuazua, Enrique 4 2020 Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials. Zbl 1444.65064Altmann, Robert; Henning, Patrick; Peterseim, Daniel 4 2020 Element-splitting-invariant local-length-scale calculation in B-spline meshes for complex geometries. Zbl 1451.65140Ueda, Yuki; Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E. 4 2020 Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. Zbl 1451.65173Di Pietro, Daniele A.; Droniou, Jérôme; Rapetti, Francesca 4 2020 The Cauchy problem for an Oldroyd-B model in three dimensions. Zbl 1434.76104Wang, Wenjun; Wen, Huanyao 4 2020 Multilevel approximation of Gaussian random fields: fast simulation. Zbl 1448.60110Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph 4 2020 Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 4 2020 Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034Perthame, Benoit; Sun, Weiran; Tang, Min; Yasuda, Shugo 3 2020 Well-posedness and \(H(\mathrm{div})\)-conforming finite element approximation of a linearised model for inviscid incompressible flow. Zbl 1444.65065Barrenechea, Gabriel; Burman, Erik; Guzmán, Johnny 3 2020 Social climbing and Amoroso distribution. Zbl 1451.35222Dimarco, Giacomo; Toscani, Giuseppe 3 2020 Adaptive isogeometric boundary element methods with local smoothness control. Zbl 07205673Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan 3 2020 Construction of boundary conditions for hyperbolic relaxation approximations. I: The linearized Suliciu model. Zbl 1450.35166Zhou, Yizhou; Yong, Wen-An 2 2020 A phase-field-based graded-material topology optimization with stress constraint. Zbl 1444.74047Auricchio, Ferdinando; Bonetti, Elena; Carraturo, Massimo; Hömberg, Dietmar; Reali, Alessandro; Rocca, Elisabetta 2 2020 Global existence of weak solutions to the incompressible Vlasov-Navier-Stokes system coupled to convection-diffusion equations. Zbl 1450.35211Boudin, Laurent; Michel, David; Moussa, Ayman 2 2020 Active particles methods and challenges in behavioral systems. Zbl 1454.35392Bellomo, N.; Brezzi, F.; Soler, J. 2 2020 An approach to congestion analysis in crowd dynamics models. Zbl 1471.90054Li, Liang; Liu, Hong; Han, Yanbin 2 2020 Nematic alignment of self-propelled particles: from particle to macroscopic dynamics. Zbl 1451.35218Degond, Pierre; Merino-Aceituno, Sara 2 2020 Some aspects of the inertial spin model for flocks and related kinetic equations. Zbl 1462.82055Benedetto, D.; Buttà, P.; Caglioti, E. 2 2020 Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Zbl 1451.35226Rodríguez, Nancy; Winkler, Michael 2 2020 Convex integration solutions for the geometrically nonlinear two-well problem with higher Sobolev regularity. Zbl 1434.74090Della Porta, Francesco; Rüland, Angkana 2 2020 Stability of planar rarefaction wave to the 3D bipolar Vlasov-Poisson-Boltzmann system. Zbl 1434.35041Wang, Shu; Wang, Teng 2 2020 Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation. Zbl 1440.35097Canevari, Giacomo; Zarnescu, Arghir 2 2020 Atomistic origins of continuum dislocation dynamics. Zbl 1460.60107Hudson, Thomas; van Meurs, Patrick; Peletier, Mark 2 2020 Convergence of knowledge in a stochastic cultural evolution model with population structure, social learning and credibility biases. Zbl 1462.91016Billiard, Sylvain; Derex, Maxime; Maisonneuve, Ludovic; Rey, Thomas 2 2020 Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062Bellomo, N.; Tao, Y.; Winkler, M. 1 2020 Brownian fluctuations of flame fronts with small random advection. Zbl 1450.35307Henderson, Christopher; Souganidis, Panagiotis E. 1 2020 On weak solutions to a dissipative Baer-Nunziato-type system for a mixture of two compressible heat conducting gases. Zbl 1450.35218Kwon, Young-Sam; Novotny, Antonin; Cheng, C. H. Arthur 1 2020 Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. Zbl 1470.70030Ha, Seung-Yeal; Ko, Dongnam; Shim, Woojoo; Yu, Hui 1 2020 Asymptotic limit of a spatially-extended mean-field FitzHugh-Nagumo model. Zbl 1444.35139Crevat, Joachim 1 2020 Doubly nonlinear stochastic evolution equations. Zbl 1451.35268Scarpa, Luca; Stefanelli, Ulisse 1 2020 Recent results and challenges in behavioral systems. Zbl 07291075 1 2020 Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness. Zbl 1455.35262Lindstrom, Michael R.; Bertozzi, Andrea L. 1 2020 The evolution of communication mechanisms in self-organised ecological aggregations: impact on pattern formation. Zbl 1457.92187Eftimie, R. 1 2020 Condition number bounds for IETI-DP methods that are explicit in \(h\) and \(p\). Zbl 1451.65223Schneckenleitner, Rainer; Takacs, Stefan 1 2020 On the critical exponent of the one-dimensional Cucker-Smale model on a general graph. Zbl 1458.34098Ha, Seung-Yeal; Li, Zhuchun; Zhang, Xiongtao 1 2020 Preconditioning the EFIE on screens. Zbl 1451.78044Hiptmair, Ralf; Urzúa-Torres, Carolina 1 2020 The existence and stability of spike solutions for a chemotaxis system modeling crime pattern formation. Zbl 1455.35072Mei, Linfeng; Wei, Juncheng 1 2020 Optimal approximation of internal controls for a wave-type problem with fractional Laplacian using finite-difference method. Zbl 1436.35320Lissy, Pierre; Rovenţa, Ionel 1 2020 On the wave turbulence theory for stratified flows in the ocean. Zbl 1442.35461Gamba, Irene M.; Smith, Leslie M.; Tran, Minh-Binh 1 2020 Density-induced consensus protocol. Zbl 1476.70056Minakowski, Piotr; Mucha, Piotr B.; Peszek, Jan 1 2020 Stationary Cahn-Hilliard-Navier-Stokes equations for the diffuse interface model of compressible flows. Zbl 1464.35235Liang, Zhilei; Wang, Dehua 1 2020 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. 67 2019 Methods for computation of flow-driven string dynamics in a pump and residence time. Zbl 1425.76139Kanai, Taro; Takizawa, Kenji; Tezduyar, Tayfun E.; Komiya, Kenji; Kaneko, Masayuki; Hirota, Kyohei; Nohmi, Motohiko; Tsuneda, Tomoki; Kawai, Masahito; Isono, Miho 19 2019 Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Zbl 1428.35612Winkler, Michael 18 2019 Large time behavior in a forager-exploiter model with different taxis strategies for two groups in search of food. Zbl 1425.35200Tao, Youshan; Winkler, Michael 18 2019 Space-time isogeometric flow analysis with built-in Reynolds-equation limit. Zbl 1425.76142Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E. 17 2019 ...and 1716 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 15,728 Authors 125 Ha, Seung-Yeal 96 Bellomo, Nicola 89 Carrillo de la Plata, José Antonio 88 Beirão da Veiga, Lourenço 87 Winkler, Michael 83 Bazilevs, Yuri 81 Degond, Pierre 77 Hughes, Thomas J. 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