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: 2,309 Publications (since 1991) References Indexed: 1,930 Publications with 63,574 References. all top 5 Latest Issues 33, No. 13 (2023) 33, No. 12 (2023) 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) ...and 269 more Volumes all top 5 Authors 54 Bellomo, Nicola 32 Brezzi, Franco 25 Ha, Seung-Yeal 25 Soler, Juan S. 21 BeirĂŁo da Veiga, Lourenço 20 Carrillo de la Plata, JosĂ© 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 JĂĽngel, Ansgar 13 Klar, Axel 13 Markowich, Peter Alexander 13 SĂĽli, 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 Maday, Yvon 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, MirosĹ‚aw 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 Perthame, BenoĂ®t 8 Rocca, Elisabetta 8 Sangalli, Giancarlo 7 Bellouquid, Abdelghani 7 Buffa, Annalisa 7 BulĂÄŤek, Miroslav 7 Cancès, Eric 7 Colli, Pierluigi 7 Conti, Sergio 7 Coquel, FrĂ©dĂ©ric 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 NovotnĂ˝, AntonĂn 7 Panasenko, Grigory P. 7 Pavarino, Luca Franco 7 Pinnau, RenĂ© 7 Preziosi, Luigi 7 Quarteroni, Alfio M. 7 Raviart, Pierre-Arnaud 7 RĹŻĹľiÄŤka, 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 3,027 more Authors all top 5 Fields 1,399 Partial differential equations (35-XX) 677 Fluid mechanics (76-XX) 636 Numerical analysis (65-XX) 433 Biology and other natural sciences (92-XX) 422 Mechanics of deformable solids (74-XX) 332 Statistical mechanics, structure of matter (82-XX) 212 Calculus of variations and optimal control; optimization (49-XX) 109 Probability theory and stochastic processes (60-XX) 109 Optics, electromagnetic theory (78-XX) 100 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) 60 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) 22 Functional analysis (46-XX) 16 Approximations and expansions (41-XX) 16 Differential geometry (53-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 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 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 2,111 Publications have been cited 37,338 times in 22,262 Documents Cited by ▼ Year ▼ Basic principles of virtual element methods. Zbl 1416.65433 BeirĂŁo da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 680 2013 Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397 Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M. 645 2015 Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113 Bazilevs, Y.; BeirĂŁo da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G. 383 2006 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336 BeirĂŁo da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 345 2014 Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008 Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge 260 1996 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 217 2013 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014 Bellomo, N.; Li, N. K.; Maini, P. K. 210 2008 Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136 Tao, Youshan; Wang, Zhi-An 207 2013 Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342 Abels, Helmut; Garcke, Harald; GrĂĽn, GĂĽnther 204 2012 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162 BeirĂŁo da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 199 2016 Isogeometric collocation methods. Zbl 1226.65091 Auricchio, F.; BeirĂŁo da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 196 2010 Continuum limit of self-driven particles with orientation interaction. Zbl 1157.35492 Degond, Pierre; Motsch, SĂ©bastien 189 2008 Coupled chemotaxis fluid model. Zbl 1191.92004 Lorz, Alexander 182 2010 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099 Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 179 2005 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128 Brezzi, Franco; Russo, Alessandro 173 1994 Stability analysis for the virtual element method. Zbl 1378.65171 BeirĂŁo da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 172 2017 Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system. Zbl 1094.92039 Chaplain, M. A. J.; Lolas, G. 171 2005 A well-posedness theory in measures for some kinetic models of collective motion. Zbl 1218.35005 Cañizo, J. A.; Carrillo, J. A.; Rosado, J. 163 2011 Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319 Droniou, Jerome 156 2014 Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093 Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 144 2007 On fractional Choquard equations. Zbl 1323.35205 d’Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco 142 2015 Numerical approximations for a three-component Cahn-Hilliard phase-field model based on the invariant energy quadratization method. Zbl 1393.80003 Yang, Xiaofeng; Zhao, Jia; Wang, Qi; Shen, Jie 141 2017 Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211 Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J. 135 2019 Long-term behaviour in a chemotaxis-fluid system with logistic source. Zbl 1354.35059 Lankeit, Johannes 132 2016 Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249 Danchin, RaphaĂ«l; Paicu, Marius 130 2011 A virtual element method for the Steklov eigenvalue problem. Zbl 1330.65172 Mora, David; Rivera, Gonzalo; RodrĂguez, Rodolfo 128 2015 Traveling waves for a simple diffusive epidemic model. Zbl 0836.92023 Hosono, Yuzo; Ilyas, Bilal 125 1995 A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142 Droniou, JĂ©rĂ´me; Eymard, Robert; GallouĂ«t, Thierry; Herbin, Raphaèle 123 2010 Stochastic mean-field limit: non-Lipschitz forces and swarming. Zbl 1273.82041 Bolley, François; Cañizo, JosĂ© A.; Carrillo, JosĂ© A. 122 2011 On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Zbl 1123.76066 Rajagopal, K. R. 122 2007 A statistical model of criminal behavior. Zbl 1180.35530 Short, M. B.; D’Orsogna, M. R.; Pasour, V. B.; Tita, G. E.; Brantingham, P. J.; Bertozzi, A. L.; Chayes, L. B. 119 2008 On particle weighted methods and smooth particle hydrodynamics. Zbl 0938.76090 Vila, J. P. 114 1999 \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1298.65167 Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul 114 2014 A constrained mixture model for growth and remodeling of soft tissues. Zbl 1021.74026 Humphrey, J. D.; Rajagopal, K. R. 112 2002 General diffuse-interface theories and an approach to predictive tumor growth modeling. Zbl 1186.92024 Oden, J. Tinsley; Hawkins, Andrea; Prudhomme, Serge 112 2010 A class of nonlocal models for pedestrian traffic. Zbl 1248.35213 Colombo, Rinaldo M.; Garavello, Mauro; LĂ©cureux-Mercier, Magali 106 2012 Virtual element methods on meshes with small edges or faces. Zbl 1393.65049 Brenner, Susanne C.; Sung, Li-Yeng 104 2018 Space-time fluid-structure interaction methods. Zbl 1248.76118 Takizawa, Kenji; Tezduyar, Tayfun E. 103 2012 Semiclassical states for coupled Schrödinger-Maxwell equations: concentration around a sphere. Zbl 1074.81023 Ruiz, David 102 2005 ALE-VMS and ST-VMS methods for computer modeling of wind-turbine rotor aerodynamics and fluid–structure interaction. Zbl 1404.76187 Bazilevs, Yuri; Hsu, Ming-Chen; Takizawa, Kenji; Tezduyar, Tayfun E. 101 2012 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337 Evans, John A.; Hughes, Thomas J. R. 101 2013 On the closure of mass balance models for tumor growth. Zbl 1016.92016 Ambrosi, D.; Preziosi, L. 99 2002 Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066 SzymaĹ„ska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, MirosĹ‚aw; Chaplain, Mark A. J. 99 2009 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065 Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 98 2010 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053 Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 97 1991 A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Zbl 1336.92038 Garcke, Harald; Lam, Kei Fong; Sitka, Emanuel; Styles, Vanessa 95 2016 Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations. Zbl 1136.76042 Mellet, A.; Vasseur, A. 95 2007 Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123 Fernandes, Paolo; Gilardi, Gianni 94 1997 Structural mechanics modeling and FSI simulation of wind turbines. Zbl 1261.74011 Korobenko, A.; Hsu, M.-C.; Akkerman, I.; Tippmann, J.; Bazilevs, Y. 93 2013 A macroscopic crowd motion model of gradient flow type. Zbl 1223.35116 Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo 92 2010 \(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields: application to the Stokes equations with pressure boundary conditions. Zbl 1260.35101 Amrouche, ChĂ©rif; Seloula, Nour El Houda 90 2013 Multiscale space-time methods for thermo-fluid analysis of a ground vehicle and its tires. Zbl 1325.76139 Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi 88 2015 Convergence of a cancer invasion model to a logistic chemotaxis model. Zbl 1263.35204 Hillen, Thomas; Painter, Kevin J.; Winkler, Michael 88 2013 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090 Antonietti, P. F.; Manzini, G.; Verani, M. 87 2018 Effects of signal-dependent motilities in a Keller-Segel-type reaction-diffusion system. Zbl 1516.35092 Tao, Youshan; Winkler, Michael 87 2017 The two-dimensional Keller-Segel system with singular sensitivity and signal absorption: global large-data solutions and their relaxation properties. Zbl 1383.35099 Winkler, Michael 85 2016 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117 Brezzi, F.; Marini, L. D.; SĂĽli, E. 83 2004 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065 Bellomo, N.; Soler, J. 83 2012 Methods for FSI modeling of spacecraft parachute dynamics and cover separation. Zbl 1261.76013 Takizawa, Kenji; Montes, Darren; Fritze, Matthew; McIntyre, Spenser; Boben, Joseph; Tezduyar, Tayfun E. 81 2013 Energy norm a posteriori error estimation of \(hp\)-adaptive discontinuous Galerkin methods for elliptic problems. Zbl 1116.65115 Houston, Paul; Schötzau, Dominik; Wihler, Thomas P. 81 2007 Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1229.35215 Schmuck, Markus 80 2009 Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013 Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi 80 2008 Predator-prey model with diffusion and indirect prey-taxis. Zbl 1349.92133 Tello, J. Ignacio; Wrzosek, Dariusz 79 2016 Space-time VMS method for flow computations with slip interfaces (ST-SI). Zbl 1329.76345 Takizawa, Kenji; Tezduyar, Tayfun E.; Mochizuki, Hiroki; Hattori, Hitoshi; Mei, Sen; Pan, Linqi; Montel, Kenneth 79 2015 New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322 Manzini, Gianmarco; Russo, Alessandro; Sukumar, N. 78 2014 A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030 Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 78 2013 ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling. Zbl 1296.76113 Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Long, Christopher C.; Marsden, Alison L.; Schjodt, Kathleen 77 2014 Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054 Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan 74 2015 Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Zbl 1177.76428 GallouĂ«t, Thierry; HĂ©rard, Jean-Marc; Seguin, Nicolas 74 2004 The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case. Zbl 0755.35091 Degond, P.; Lucquin-Desreux, B. 74 1992 A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111 Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas 74 2008 Critical thresholds in 1D Euler equations with non-local forces. Zbl 1356.35174 Carrillo, JosĂ© A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui 73 2016 Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005 Málek, J.; Rajagopal, K. R.; RĹŻĹľiÄŤka, M. 73 1995 Challenges and directions in computational fluid-structure interaction. Zbl 1261.76025 Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E. 73 2013 On the coupling of 1D and 3D diffusion-reaction equations. Application to tissue perfusion problems. Zbl 1359.35200 D’Angelo, C.; Quarteroni, A. 73 2008 Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136 Droniou, Jerome; Eymard, Robert; Gallouet, Thierry; Herbin, Raphaele 72 2013 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006 Ciarlet, Philippe G.; Ciarlet, Patrick jun. 71 2005 The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060 Bardos, Claude; Ukai, Seiji 71 1991 The nonconforming virtual element method for plate bending problems. Zbl 1396.74098 Zhao, Jikun; Chen, Shaochun; Zhang, Bei 71 2016 Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068 Mielke, Alexander; RoubĂÄŤek, Tomáš 70 2006 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 70 2006 Hydrodynamic limit of the kinetic Cucker-Smale flocking model. Zbl 1309.35180 Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina 69 2015 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029 Bellomo, N.; Bellouquid, A.; Delitala, M. 69 2004 Analysis of a phase-field model for two-phase compressible fluids. Zbl 1200.76155 Feireisl, Eduard; Petzeltová, Hana; Rocca, Elisabetta; Schimperna, Giulio 69 2010 A posteriori error estimates for the finite element approximation of eigenvalue problems. Zbl 1072.65144 Durán, Ricardo G.; Padra, Claudio; RodrĂguez, Rodolfo 68 2003 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137 Bellomo, N.; Knopoff, D.; Soler, J. 68 2013 On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Zbl 1262.65009 Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo 67 2012 On the inviscid limit of a model for crack propagation. Zbl 1151.49014 Knees, Dorothee; Mielke, Alexander; Zanini, Chiara 67 2008 To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production. Zbl 1351.35076 Hu, Bingran; Tao, Y. 66 2016 Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325 Arlotti, L.; Bellomo, N.; De Angelis, E. 66 2002 On the Oberbeck-Boussinesq approximation. Zbl 0883.76078 Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R. 66 1996 Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with subcritical sensitivity. Zbl 1378.92010 Wang, Yulan 66 2017 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036 Bellomo, Nicola; DogbĂ©, Christian 66 2008 On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070 Li, Dong; Li, Tong; Zhao, Kun 65 2011 Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038 Castro, Manuel J.; MilanĂ©s, Alberto Pardo; ParĂ©s, Carlos 65 2007 Well-posedness and exponential decay of the energy in the nonlinear Jordan-Moore-Gibson-Thompson equation arising in high intensity ultrasound. Zbl 1257.35131 Kaltenbacher, Barbara; Lasiecka, Irena; Pospieszalska, Maria K. 65 2012 A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031 Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying 64 2018 Some results on partial differential equations and Asian options. Zbl 1034.35166 Barucci, E.; Polidoro, S.; Vespri, V. 64 2001 An \(H^1\)-conforming virtual element for Darcy and Brinkman equations. Zbl 1457.65218 Vacca, Giuseppe 64 2018 Emergence of bi-cluster flocking for the Cucker-Smale model. Zbl 1359.92121 Cho, Junghee; Ha, Seung-Yeal; Huang, Feimin; Jin, Chunyin; Ko, Dongnam 64 2016 Generalized solution and eventual smoothness in a logarithmic Keller-Segel system for criminal activities. Zbl 1517.35229 Li, Bin; Xie, Li 6 2023 Immersed virtual element methods for electromagnetic interface problems in three dimensions. Zbl 1514.65164 Cao, Shuhao; Chen, Long; Guo, Ruchi 5 2023 On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. Zbl 1514.65123 Abgrall, RĂ©mi; Lukáčova-Medvid’ová, Mária; Ă–ffner, Philipp 3 2023 Pressure-relaxation limit for a one-velocity Baer-Nunziato model to a Kapila model. Zbl 1518.35542 Burtea, Cosmin; Crin-Barat, TimothĂ©e; Tan, Jin 2 2023 Entropy dissipation and propagation of chaos for the uniform reshuffling model. Zbl 1524.35655 Cao, Fei; Jabin, Pierre-Emmanuel; Motsch, Sebastien 2 2023 Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles. Zbl 1519.92040 Conte, Martina; Dzierma, Yvonne; Knobe, Sven; Surulescu, Christina 2 2023 A nonlinear bending theory for nematic LCE plates. Zbl 1519.74044 Bartels, Sören; Griehl, Max; Neukamm, Stefan; Padilla-Garza, David; Palus, Christian 2 2023 \(L^1\)-theory for Hele-Shaw flow with linear drift. Zbl 1518.35004 Igbida, Noureddine 2 2023 Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods. Zbl 1517.65106 Corti, Mattia; Antonietti, Paola F.; Dede’, Luca; Quarteroni, Alfio M. 2 2023 Human behavioral crowds review, critical analysis and research perspectives. Zbl 1517.90024 Bellomo, Nicola; Liao, Jie; Quaini, Annalisa; Russo, Lucia; Siettos, Constantinos 2 2023 Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions. Zbl 1523.35007 Ahn, Jaewook; Kang, Kyungkeun; Lee, Jihoon 2 2023 Global boundedness in a 2D chemotaxis-Navier-Stokes system with flux limitation and nonlinear production. Zbl 1523.35267 Wang, Wei 2 2023 Critical mass for Keller-Segel systems with supercritical nonlinear sensitivity. Zbl 1523.35032 Mao, Xuan; Li, Yuxiang 2 2023 Analyticity and \(hp\) discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. Zbl 1527.65121 Maday, Yvon; Marcati, Carlo 1 2023 On an elastic strain-limiting special Cosserat rod model. Zbl 1517.74059 Rajagopal, K. R.; Rodriguez, C. 1 2023 Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker-Planck-alignment model. Zbl 1522.35381 Choi, Young-Pil; Kim, Jeongho 1 2023 Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Zbl 1518.35439 Tao, Youshan; Winkler, Michael 1 2023 A unified framework for Navier-Stokes Cahn-Hilliard models with non-matching densities. Zbl 1517.76074 ten Eikelder, M. F. P.; van der Zee, K. G.; Akkerman, I.; Schillinger, D. 1 2023 Uniqueness and uniform structural stability of Poiseuille flows in a periodic pipe with Navier boundary conditions. Zbl 1518.35302 Wang, Yun; Xie, Chunjing 1 2023 Consensus-based optimization via jump-diffusion stochastic differential equations. Zbl 1515.60198 Kalise, Dante; Sharma, Akash; Tretyakov, Michael V. 1 2023 Elastic stabilization of an intrinsically unstable hyperbolic flow-structure interaction on the 3D half-space. Zbl 1517.74046 Balakrishna, Abhishek; Lasiecka, Irena; Webster, Justin T. 1 2023 Control of the Stefan problem in a periodic box. Zbl 1519.93032 Geshkovski, Borjan; Maity, Debayan 1 2023 Bound-preserving finite element approximations of the Keller-Segel equations. Zbl 07701408 Badia, Santiago; Bonilla, JesĂşs; GutiĂ©rrez-Santacreu, Juan Vicente 1 2023 The virtual element method for the 3D resistive magnetohydrodynamic model. Zbl 1514.76049 BeirĂŁo da Veiga, Lourenço; Dassi, Franco; Manzini, Gianmarci; Mascotto, Lorenzo 1 2023 A mean field game model of firm-level innovation. 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Zbl 1478.65110 Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco 13 2021 ...and 1763 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,216 Authors 157 Ha, Seung-Yeal 114 Winkler, Michael 113 Carrillo de la Plata, JosĂ© Antonio 104 BeirĂŁo da Veiga, Lourenço 103 Bellomo, Nicola 92 Degond, Pierre 88 Bazilevs, Yuri 85 Tezduyar, Tayfun E. 84 Hughes, Thomas J. 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