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: Journal; Indexed cover-to-cover Documents Indexed: 2,299 Publications (since 1991) References Indexed: 1,920 Publications with 63,100 References. all top 5 Latest Issues 33, No. 11 (2023) 33, No. 10 (2023) 33, No. 9 (2023) 33, No. 8 (2023) 33, No. 7 (2023) 33, No. 6 (2023) 33, No. 5 (2023) 33, No. 4 (2023) 33, No. 3 (2023) 33, No. 2 (2023) 33, No. 1 (2023) 32, No. 14 (2022) 32, No. 13 (2022) 32, No. 12 (2022) 32, No. 11 (2022) 32, No. 10 (2022) 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) ...and 267 more Volumes all top 5 Authors 54 Bellomo, Nicola 32 Brezzi, Franco 25 Ha, Seung-Yeal 25 Soler, Juan S. 21 Beirão da Veiga, Lourenço 20 Carrillo de la Plata, José Antonio 20 Degond, Pierre 19 Takizawa, Kenji 19 Tezduyar, Tayfun E. 18 Schwab, Christoph 15 Rajagopal, Kumbakonam Ramamani 14 Bazilevs, Yuri 14 Ciarlet, Philippe Gaston 14 Kawashima, Shuichi 14 Winkler, Michael 13 Jüngel, Ansgar 13 Klar, Axel 13 Markowich, Peter Alexander 13 Süli, Endre E. 13 Tao, Youshan 12 Barrett, John William 12 Fasano, Antonio 12 Russo, Alessandro 12 Schmeiser, Christian 11 Ciarlet, Patrick jun. 11 Payne, Lawrence Edward 11 Piccoli, Benedetto 10 Banasiak, Jacek 10 Chaplain, Mark A. J. 10 Choi, Young-Pil 10 Feireisl, Eduard 10 Nochetto, Ricardo Horacio 10 Toscani, Giuseppe 9 Babuška, Ivo 9 Bernardi, Christine 9 Bertozzi, Andrea Louise 9 Knopoff, Damian A. 9 Ko, Dongnam 9 Lachowicz, Mirosław 9 Maday, Yvon 9 Manzini, Gianmarco 9 Marini, Luisa Donatella 9 Stefanelli, Ulisse 9 Zuazua, Enrique 8 De Angelis, Elena 8 Delitala, Marcello Edoardo 8 Garcke, Harald 8 Grasselli, Maurizio 8 Herty, Michael Matthias 8 Hughes, Thomas J. R. 8 Jabin, Pierre-Emmanuel 8 Lenhart, Suzanne M. 8 Mielke, Alexander 8 Nieto, Juanjo 8 Oden, John Tinsley 8 Ortner, Christoph 8 Paolini, Maurizio 8 Pareschi, Lorenzo 8 Quarteroni, Alfio M. 8 Rocca, Elisabetta 8 Sangalli, Giancarlo 7 Bellouquid, Abdelghani 7 Buffa, Annalisa 7 Bulíček, Miroslav 7 Cancès, Eric 7 Colli, Pierluigi 7 Conti, Sergio 7 Coquel, Frédéric 7 Duan, Renjun 7 Gibelli, Livio 7 Jin, Shi 7 Le Bris, Claude 7 Li, Zhiping 7 Lovadina, Carlo 7 Málek, Josef 7 Nishibata, Shinya 7 Novotný, Antonín 7 Panasenko, Grigory P. 7 Pavarino, Luca Franco 7 Perthame, Benoît 7 Pinnau, René 7 Preziosi, Luigi 7 Raviart, Pierre-Arnaud 7 Růžička, Michael 7 Surulescu, Christina 7 Wang, Shu 7 Wrzosek, Dariusz M. 7 Zhu, Changjiang 6 Arnold, Douglas Norman 6 Auricchio, Ferdinando 6 Bendahmane, Mostafa 6 Boffi, Daniele 6 Bonnet-Ben Dhia, Anne-Sophie 6 Burman, Erik 6 Chapelle, Dominique 6 de Socio, Luciano M. 6 Dolbeault, Jean 6 Ducomet, Bernard 6 Fabrizio, Mauro 6 Giovangigli, Vincent ...and 3,015 more Authors all top 5 Fields 1,392 Partial differential equations (35-XX) 672 Fluid mechanics (76-XX) 631 Numerical analysis (65-XX) 431 Biology and other natural sciences (92-XX) 421 Mechanics of deformable solids (74-XX) 332 Statistical mechanics, structure of matter (82-XX) 211 Calculus of variations and optimal control; optimization (49-XX) 109 Optics, electromagnetic theory (78-XX) 107 Probability theory and stochastic processes (60-XX) 99 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 97 Classical thermodynamics, heat transfer (80-XX) 93 Ordinary differential equations (34-XX) 83 Integral equations (45-XX) 65 Operations research, mathematical programming (90-XX) 64 Systems theory; control (93-XX) 59 Operator theory (47-XX) 50 Quantum theory (81-XX) 48 Dynamical systems and ergodic theory (37-XX) 33 Geophysics (86-XX) 29 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) 15 Information and communication theory, circuits (94-XX) 14 General and overarching topics; collections (00-XX) 12 Real functions (26-XX) 11 Statistics (62-XX) 11 Astronomy and astrophysics (85-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral transforms, operational calculus (44-XX) 6 Convex and discrete geometry (52-XX) 5 Combinatorics (05-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 4 History and biography (01-XX) 4 Special functions (33-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Manifolds and cell complexes (57-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 2,078 Publications have been cited 35,121 times in 21,012 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. 600 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. 595 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. 373 2006 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 310 2014 Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge 247 1996 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 205 2008 Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136Tao, Youshan; Wang, Zhi-An 195 2013 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 194 2013 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 191 2010 Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342Abels, Helmut; Garcke, Harald; Grün, Günther 188 2012 Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492Degond, Pierre; Motsch, Sébastien 185 2008 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. 177 2016 Coupled chemotaxis fluid model. Zbl 1191.92004Lorz, Alexander 174 2010 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 171 2005 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128Brezzi, Franco; Russo, Alessandro 166 1994 Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system. Zbl 1094.92039Chaplain, M. A. J.; Lolas, G. 166 2005 A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005Cañizo, J. A.; Carrillo, J. A.; Rosado, J. 157 2011 Stability analysis for the virtual element method. Zbl 1378.65171Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 145 2017 Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319Droniou, Jerome 144 2014 Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 132 2007 On fractional Choquard equations. Zbl 1323.35205d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco 127 2015 Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059Lankeit, Johannes 126 2016 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. 124 2019 Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249Danchin, Raphaël; Paicu, Marius 121 2011 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 119 2017 Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023Hosono, Yuzo; Ilyas, Bilal 117 1995 A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo 117 2015 Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041Bolley, François; Cañizo, José A.; Carrillo, José A. 117 2011 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle 116 2010 On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066Rajagopal, K. R. 115 2007 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. 113 2008 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul 109 2014 On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090Vila, J. P. 107 1999 General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge 106 2010 A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026Humphrey, J. D.; Rajagopal, K. R. 106 2002 Space-time fluid-structure interaction methods. Zbl 1248.76118Takizawa, Kenji; Tezduyar, Tayfun E. 99 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. 98 2012 Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023Ruiz, David 98 2005 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337Evans, John A.; Hughes, Thomas J. R. 98 2013 A class of nonlocal models for pedestrian traffic. Zbl 1248.35213Colombo, Rinaldo M.; Garavello, Mauro; Lécureux-Mercier, Magali 97 2012 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 96 2010 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 96 1991 On the closure of mass balance models for tumor growth. Zbl 1016.92016Ambrosi, D.; Preziosi, L. 93 2002 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. 92 2009 Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y. 91 2013 Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123Fernandes, Paolo; Gilardi, Gianni 90 1997 A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo 87 2010 Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042Mellet, A.; Vasseur, A. 86 2007 \(L^p\)-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 83 2013 Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204Hillen, Thomas; Painter, Kevin J.; Winkler, Michael 83 2013 Virtual element methods on meshes with small edges or faces. Zbl 1393.65049Brenner, Susanne C.; Sung, Li-Yeng 83 2018 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117Brezzi, F.; Marini, L. D.; Süli, E. 82 2004 A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Zbl 1336.92038Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa 82 2016 Multiscale space-time methods for thermo-fluid analysis of a ground vehicle and its tires. Zbl 1325.76139Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi 81 2015 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065Bellomo, N.; Soler, J. 78 2012 Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 78 2007 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. 77 2013 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090Antonietti, P. F.; Manzini, G.; Verani, M. 77 2018 Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi 76 2008 Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 1516.35092Tao, Youshan; Winkler, Michael 76 2017 The two-dimensional Keller-Segel system with singular sensitivity and signal absorption: global large-data solutions and their relaxation properties. Zbl 1383.35099Winkler, Michael 76 2016 New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322Manzini, Gianmarco; Russo, Alessandro; Sukumar, N. 75 2014 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 75 2014 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. 73 1995 A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 73 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 73 2015 A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas 72 2008 The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091Degond, P.; Lucquin-Desreux, B. 71 1992 Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428Gallouët, Thierry; Hérard, Jean-Marc; Seguin, Nicolas 71 2004 Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E. 71 2013 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 71 2013 Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan 71 2015 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 70 2005 Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215Schmuck, Markus 70 2009 Predator-prey model with diffusion and indirect prey-taxis. Zbl 1349.92133Tello, J. Ignacio; Wrzosek, Dariusz 70 2016 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 69 2006 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 The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060Bardos, Claude; Ukai, Seiji 66 1991 A posteriori error estimates for the finite element approximation of eigenvalue problems. Zbl 1072.65144Durán, Ricardo G.; Padra, Claudio; Rodríguez, Rodolfo 66 2003 Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325Arlotti, L.; Bellomo, N.; De Angelis, E. 66 2002 On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo 65 2012 Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068Mielke, Alexander; Roubíček, Tomáš 65 2006 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036Bellomo, Nicola; Dogbé, Christian 65 2008 Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with subcritical sensitivity. Zbl 1378.92010Wang, Yulan 65 2017 Eigenelements of a general aggregation-fragmentation model. Zbl 1201.35086Doumic Jauffret, Marie; Gabriel, Pierre 64 2010 On the inviscid limit of a model for crack propagation. Zbl 1151.49014Knees, Dorothee; Mielke, Alexander; Zanini, Chiara 64 2008 Hydrodynamic limit of the kinetic Cucker-Smale flocking model. Zbl 1309.35180Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 64 2015 Blood flow through a circular pipe with an impulsive pressure gradient. Zbl 1023.76060Pontrelli, Giuseppe 63 2000 A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Zbl 1018.65108Gosse, Laurent 63 2001 Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos 63 2007 On the Oberbeck-Boussinesq approximation. Zbl 0883.76078Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R. 63 1996 Critical thresholds in 1D Euler equations with non-local forces. Zbl 1356.35174Carrillo, José A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui 63 2016 Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 62 2010 Space-time VMS methods for modeling of incompressible flows at high Reynolds numbers. Zbl 1261.76037Takizawa, Kenji; Montes, Darren; McIntyre, Spenser; Tezduyar, Tayfun E. 62 2013 Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013Friedman, Avner 62 2007 On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200D’Angelo, C.; Quarteroni, A. 62 2008 To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076Hu, Bingran; Tao, Y. 62 2016 Asymptotic behavior of global solutions to a model of cell invasion. Zbl 1213.35250Liţcanu, Gabriela; Morales-Rodrigo, Cristian 61 2010 Some results on partial differential equations and Asian options. Zbl 1034.35166Barucci, E.; Polidoro, S.; Vespri, V. 61 2001 On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. Zbl 1514.65123Abgrall, Rémi; Lukáčova-Medvid’ová, Mária; Öffner, Philipp 2 2023 Pressure-relaxation limit for a one-velocity Baer-Nunziato model to a Kapila model. Zbl 1518.35542Burtea, Cosmin; Crin-Barat, Timothée; Tan, Jin 2 2023 Entropy dissipation and propagation of chaos for the uniform reshuffling model. Zbl 07716170Cao, Fei; Jabin, Pierre-Emmanuel; Motsch, Sebastien 2 2023 Immersed virtual element methods for electromagnetic interface problems in three dimensions. Zbl 1514.65164Cao, Shuhao; Chen, Long; Guo, Ruchi 1 2023 Control of the Stefan problem in a periodic box. Zbl 1519.93032Geshkovski, Borjan; Maity, Debayan 1 2023 Bound-preserving finite element approximations of the Keller-Segel equations. Zbl 07701408Badia, Santiago; Bonilla, Jesús; Gutiérrez-Santacreu, Juan Vicente 1 2023 On an elastic strain-limiting special Cosserat rod model. Zbl 1517.74059Rajagopal, K. R.; Rodriguez, C. 1 2023 Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Zbl 1518.35439Tao, Youshan; Winkler, Michael 1 2023 Consensus-based optimization via jump-diffusion stochastic differential equations. Zbl 1515.60198Kalise, Dante; Sharma, Akash; Tretyakov, Michael V. 1 2023 A mean field game model of firm-level innovation. Zbl 07716173Barker, Matt; Degond, Pierre; Martin, Ralf; Muûls, Mirabelle 1 2023 Convergence of a particle method for a regularized spatially homogeneous Landau equation. Zbl 1517.35230Carrillo, José A.; Delgadino, Matias G.; Wu, Jeremy S. H. 1 2023 Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles. Zbl 1519.92040Conte, Martina; Dzierma, Yvonne; Knobe, Sven; Surulescu, Christina 1 2023 Fast and slow clustering dynamics of Cucker-Smale ensemble with internal oscillatory phases. Zbl 07716176Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong 1 2023 Kinetic modeling of a leader-follower system in crowd evacuation with collective learning. Zbl 1517.35228Liao, Jie; Ren, Yi’ang; Yan, Wenbin 1 2023 Modeling and numerical simulations of multilane vehicular traffic by active particles methods. Zbl 1516.35299Zagour, M. 1 2023 A nonlinear bending theory for nematic LCE plates. Zbl 1519.74044Bartels, Sören; Griehl, Max; Neukamm, Stefan; Padilla-Garza, David; Palus, Christian 1 2023 \(L^1\)-theory for Hele-Shaw flow with linear drift. Zbl 1518.35004Igbida, Noureddine 1 2023 Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods. Zbl 1517.65106Corti, Mattia; Antonietti, Paola F.; Dede’, Luca; Quarteroni, Alfio M. 1 2023 Human behavioral crowds review, critical analysis and research perspectives. Zbl 1517.90024Bellomo, Nicola; Liao, Jie; Quaini, Annalisa; Russo, Lucia; Siettos, Constantinos 1 2023 Necessary and sufficient criteria for existence, regularity, and asymptotic stability of enhanced pullback attractors with applications to 3D primitive equations. Zbl 1522.35416Wang, Renhai; Guo, Boling; Huang, Daiwen 1 2023 Global boundedness in a 2D chemotaxis-Navier-Stokes system with flux limitation and nonlinear production. Zbl 07745994Wang, Wei 1 2023 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. 29 2022 Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro 18 2022 Repulsive chemotaxis and predator evasion in predator-prey models with diffusion and prey-taxis. Zbl 1486.92175Mishra, Purnedu; Wrzosek, Dariusz 6 2022 On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of two-phase incompressible flows. Zbl 07524187Li, Xiaoli; Shen, Jie 6 2022 Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433Kaltenbacher, Barbara; Nikolić, Vanja 5 2022 Interpolation and stability estimates for edge and face virtual elements of general order. Zbl 1497.65218Beirão da Veiga, L.; Mascotto, L.; Meng, J. 5 2022 Virus models in complex frameworks: towards modeling space patterns of SARS-CoV-2 epidemics. Zbl 1518.35591Burini, D.; Chouhad, N. 4 2022 Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction. 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Zbl 1481.92174Zanella, Mattia; Bardelli, Chiara; Dimarco, Giacomo; Deandrea, Silvia; Perotti, Pietro; Azzi, Mara; Figini, Silvia; Toscani, Giuseppe 5 2021 ...and 1740 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 18,278 Authors 151 Ha, Seung-Yeal 112 Winkler, Michael 105 Carrillo de la Plata, José Antonio 103 Bellomo, Nicola 102 Beirão da Veiga, Lourenço 89 Degond, Pierre 87 Bazilevs, Yuri 83 Tezduyar, Tayfun E. 82 Hughes, Thomas J. R. 82 Takizawa, Kenji 67 Ciarlet, Philippe Gaston 67 Yang, Xiaofeng 65 Schwab, Christoph 64 Brezzi, Franco 62 Choi, Young-Pil 62 Manzini, Gianmarco 62 Mu, Chunlai 62 Stefanelli, Ulisse 60 Perthame, Benoît 56 Tao, Youshan 54 Buffa, Annalisa 53 Jüngel, Ansgar 52 Du, Qiang 52 Grasselli, Maurizio 51 Reali, Alessandro 51 Wang, Zhian 50 Quarteroni, Alfio M. 48 Antonietti, Paola Francesca 47 Droniou, Jérôme 47 Garcke, Harald 46 Jin, Shi 46 Ruiz-Baier, Ricardo 45 Panasenko, Grigory P. 45 Pareschi, Lorenzo 44 Rocca, Elisabetta 44 Sangalli, Giancarlo 43 Roubíček, Tomáš 43 Russo, Alessandro 43 Zheng, Pan 42 Li, Yeping 42 Lovadina, Carlo 42 Praetorius, Dirk 42 Scacchi, Simone 42 Tan, Zhong 42 Zheng, Jiashan 41 Hayat, Tasawar 41 Miranville, Alain M. 41 Neff, Patrizio 41 Toscani, Giuseppe 40 Gatica, Gabriel N. 40 Herty, Michael Matthias 40 Hsu, Ming-Chen 40 Liu, Bin 39 Calo, Victor Manuel 39 Di Pietro, Daniele Antonio 38 Ciarlet, Patrick jun. 38 Hérard, Jean-Marc 38 Klar, Axel 38 Pavarino, Luca Franco 38 Rajagopal, Kumbakonam Ramamani 38 Soler, Juan S. 38 Süli, Endre E. 37 Banasiak, Jacek 37 Chaplain, Mark A. J. 37 Gwiazda, Piotr 37 Marini, Luisa Donatella 37 Piccoli, Benedetto 37 Wang, Liangchen 37 Wang, Shu 37 Zhu, Changjiang 36 Zhao, Huijiang 36 Zuazua, Enrique 35 Amrouche, Chérif 35 Colli, Pierluigi 35 Gómez, Héctor J. 35 Mielke, Alexander 35 Nicaise, Serge 34 Bulíček, Miroslav 34 Shu, Chi-Wang 33 Ern, Alexandre 33 Evans, John A. 33 Mora, David 32 Auricchio, Ferdinando 32 Carstensen, Carsten 32 Elaiw, Ahmed M. 32 Giani, Stefano 32 Kawashima, Shuichi 32 Kim, Jeongho 32 Lachowicz, Mirosław 32 Xu, Jinchao 31 Delitala, Marcello Edoardo 31 Fan, Jishan 31 Kim, Dohyun 31 Markowich, Peter Alexander 31 Migórski, Stanisław 31 Wohlmuth, Barbara I. 30 Abdulle, Assyr 30 Berthon, Christophe 30 Conti, Sergio 30 Dimarco, Giacomo ...and 18,178 more Authors all top 5 Cited in 689 Journals 1,126 Computer Methods in Applied Mechanics and Engineering 1,098 M\(^3\)AS. 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