Edit Profile (opens in new tab) Jüngel, Ansgar Compute Distance To: Compute Author ID: jungel.ansgar Published as: Jüngel, Ansgar; Jüngel, A.; Jungel, Ansgar more...less Homepage: http://www.asc.tuwien.ac.at/~juengel/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 205 Publications since 1994, including 5 Books 2 Contributions as Editor Co-Authors: 121 Co-Authors with 184 Joint Publications 2,640 Co-Co-Authors all top 5 Co-Authors 23 single-authored 13 Zamponi, Nicola 9 Chen, Xiuqing 8 Chen, Li 8 Daus, Esther S. 8 Galiano Casas, Gonzalo 8 Matthes, Daniel 8 Milišić, Josipa Pina 8 Peng, Yuejun 8 Pietra, Paola 7 Carrillo de la Plata, José Antonio 7 Degond, Pierre 6 Markowich, Peter Alexander 6 Toscani, Giuseppe 5 Chainais-Hillairet, Claire 5 Düring, Bertram 5 Génieys, Stéphane 5 Li, Hailiang 5 Pinnau, René 4 Braukhoff, Marcel 4 Grasser, Tibor 4 Rupp, Karl 4 Trussardi, Lara 4 Zurek, Antoine 3 Bukal, Mario 3 Desvillettes, Laurent 3 Diaz Diaz, Jesus Ildefonso 3 Dolbeault, Jean 3 Martínez Gamba, Irene 3 Garzon, Maria Luisa 3 Gerstenmayer, Anita 3 Gualdani, Maria Pia 3 Holst, Stefan 3 Lacroix-Violet, Ingrid 3 Leingang, Oliver 3 Schuchnigg, Stefan 3 Shpartko, Polina 3 Tang, Shaoqiang 3 Wang, Shu 2 Alì, Giuseppe 2 Amster, Pablo 2 Arnold, Anton 2 Bessemoulin-Chatard, Marianne 2 Brunk, Markus 2 Dhariwal, Gaurav 2 Fournié, Michel 2 Gadau, Stephan 2 Gentil, Ivan 2 Hittmeir, Sabine 2 Holzinger, Philipp 2 Huo, Xiaokai 2 Krause, Stefan 2 Kühn, Christian 2 Mariani, Maria Cristina 2 Matsumura, Akitaka 2 Mennemann, Jan-Frederik 2 Röhrig, Elisa 2 Schmeiser, Christian 2 Stelzer, Ines Viktoria 2 Tzavaras, Athanasios E. 2 Unterreiter, Andreas 2 Weinbub, Josef 2 Winkler, Michael 1 Achleitner, Franz 1 Aoki, Kazuo 1 Barletti, Luigi 1 Bechouche, Philippe 1 Bonizzoni, Francesca 1 Cancès, Clément 1 Dreher, Michael 1 Druet, Pierre-Étienne 1 Emmrich, Etienne 1 Favre, Gianluca 1 Fellner, Markus 1 Fuchs, Philipp 1 Gasser, Ingenuin 1 Gisclon, Marguerite 1 Goudon, Thierry 1 Günther, Michael 1 Gyi, Myo Thein 1 Hansen, Olaf 1 Helmer, Christoph 1 Holzinger, Alexandra 1 Huber, Florian 1 Kristöfel, Peter 1 Lederman, Claudia B. 1 Lin, Chikun 1 Liu, Jianguo 1 López, José Luis 1 Manasevich, Raul F. 1 Meurer, Thomas 1 Mikyška, jiří 1 Montejo-Gámez, Jesús 1 Morhammer, Andreas 1 Mouhot, Clément 1 Neamţu, Alexandra 1 Negulescu, Claudia 1 Perugia, Ilaria 1 Portisch, Stefan 1 Ptashnyk, Mariya 1 Rial, Diego F. ...and 21 more Co-Authors all top 5 Serials 13 SIAM Journal on Mathematical Analysis 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Differential Equations 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 SIAM Journal on Scientific Computing 6 Discrete and Continuous Dynamical Systems. Series B 6 Communications in Mathematical Sciences 5 Archive for Rational Mechanics and Analysis 5 Journal of Mathematical Analysis and Applications 5 Communications in Partial Differential Equations 5 Kinetic and Related Models 4 Communications in Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Numerische Mathematik 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Numerical Methods for Partial Differential Equations 3 Journal of Computational Physics 3 Nonlinearity 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics Letters 3 European Journal of Applied Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Nonlinear Analysis. Real World Applications 2 IMA Journal of Numerical Analysis 2 Journal of Statistical Physics 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 Applied Numerical Mathematics 2 Asymptotic Analysis 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Applicable Analysis 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Optimization 1 Archivum Mathematicum 1 IEEE Transactions on Automatic Control 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Acta Applicandae Mathematicae 1 Publicacions Matemàtiques 1 The Annals of Applied Probability 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Theoretical and Applied Finance 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Rivista di Matematica della Università di Parma. New Series 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications 1 SpringerBriefs in Mathematics all top 5 Fields 172 Partial differential equations (35-XX) 82 Statistical mechanics, structure of matter (82-XX) 55 Fluid mechanics (76-XX) 49 Numerical analysis (65-XX) 33 Biology and other natural sciences (92-XX) 27 Optics, electromagnetic theory (78-XX) 11 Probability theory and stochastic processes (60-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Quantum theory (81-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 181 Publications have been cited 2,547 times in 1,200 Documents Cited by ▼ Year ▼ Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Zbl 0984.35027Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A. 131 2001 Quasi-hydrodynamic semiconductor equations. Zbl 0969.35001Jüngel, Ansgar 115 2001 The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175Jüngel, Ansgar 79 2015 Global weak solutions to compressible Navier-Stokes equations for quantum fluids. Zbl 1228.35083Jüngel, Ansgar 73 2010 Analysis of a multidimensional parabolic population model with strong cross-diffusion. Zbl 1082.35075Chen, Li; Jüngel, Ansgar 71 2004 Analysis of a parabolic cross-diffusion population model without self-diffusion. Zbl 1096.35060Chen, Li; Jüngel, Ansgar 68 2006 Entropy methods for diffusive partial differential equations. Zbl 1361.35002Jüngel, Ansgar 62 2016 Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas. Zbl 1020.35072Alì, Giuseppe; Jüngel, Ansgar 52 2003 Compact families of piecewise constant functions in \(L^p (0,T;B)\). Zbl 1245.46017Dreher, Michael; Jüngel, Ansgar 48 2012 Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model. Zbl 1018.65115Galiano, Gonzalo; Garzón, María L.; Jüngel, Ansgar 48 2003 The Derrida–Lebowitz–Speer– Spohn equation: Existence, nonuniqueness, and decay rates of the solutions. Zbl 1160.35428Jüngel, Ansgar; Matthes, Daniel 46 2008 A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits. Zbl 0946.35074Jüngel, Ansgar; Peng, Yue-Jun 45 1999 Global nonnegative solutions of a nonlinear fourth-order parabolic equation for quantum systems. Zbl 0979.35061Jüngel, Ansgar; Pinnau, René 38 2000 A positivity-preserving numerical scheme for a nonlinear fourth order parabolic system. Zbl 0994.35047Jüngel, Ansgar; Pinnau, René 38 2001 Quantum Euler-Poisson systems: global existence and exponential decay. Zbl 1069.35012Jüngel, Ansgar; Li, Hailiang 38 2004 Existence analysis of Maxwell-Stefan systems for multicomponent mixtures. Zbl 1276.35104Jüngel, Ansgar; Stelzer, Ines Viktoria 37 2013 Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model. Zbl 1259.35114Hittmeir, Sabine; Jüngel, Ansgar 36 2011 A note on Aubin-Lions-Dubinskiĭ lemmas. Zbl 1326.46019Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo 36 2014 Qualitative behavior of solutions of a degenerate nonlinear drift-diffusion model for semiconductors. Zbl 0841.35114Jüngel, Ansgar 35 1995 A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects. Zbl 0907.35059Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 35 1997 Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited. Zbl 0963.35115Jüngel, Ansgar; Peng, Yue-Jun 34 2000 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 30 2004 High-order compact finite difference schemes for a nonlinear Black-Scholes equation. Zbl 1070.91024Düring, Bertram; Fournié, Michel; Jüngel, Ansgar 29 2003 Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031Düring, Bertram; Fournié, Michel; Jüngel, Ansgar 28 2004 On the existence and uniqueness of transient solutions of a degenerate nonlinear drift-diffusion model for semiconductors. Zbl 0820.35128Jüngel, Ansgar 25 1994 Local existence of solutions to the transient quantum hydrodynamic equations. Zbl 1215.81031Jüngel, Ansgar; Mariani, Maria Cristina; Rial, Diego 25 2002 Numerical discretization of energy-transport models for semiconductors with nonparabolic band structure. Zbl 1049.82074Degond, Pierre; Jüngel, Ansgar; Pietra, Paola 24 2000 Positive solutions to singular second and third order differential equations for quantum fluids. Zbl 1013.76009Gamba, Irene M.; Jüngel, Ansgar 24 2001 Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system. Zbl 1331.35273Chen, Xiuqing; Jüngel, Ansgar 24 2015 A hierarchy of hydrodynamic models for plasmas. Quasi-neutral limits in the drift-diffusion equations. Zbl 1045.76058Jüngel, Ansgar; Peng, Yue-Jun 24 2001 Analysis of degenerate cross-diffusion population models with volume filling. Zbl 1386.35167Zamponi, Nicola; Jüngel, Ansgar 23 2017 An algorithmic construction of entropies in higher-order nonlinear PDEs. Zbl 1091.35031Jüngel, Ansgar; Matthes, Daniel 23 2006 Derivation of new quantum hydrodynamic equations using entropy minimization. Zbl 1121.35117Jüngel, Ansgar; Matthes, Daniel; Milišić, Josipa Pina 23 2006 A steady-state system in non-equilibrium thermodynamics including thermal and electrical effects. Zbl 0935.35046Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 23 1998 Global existence analysis of cross-diffusion population systems for multiple species. Zbl 1384.35135Chen, Xiuqing; Daus, Esther S.; Jüngel, Ansgar 23 2018 The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka 22 2006 Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049Gualdini, Maria Pia; Jüngel, Ansgar 22 2004 Analysis and numerical solution of a nonlinear cross-diffusion system arising in population dynamics. Zbl 1021.35047Galiano, G.; Garzón, M. L.; Jüngel, A. 21 2001 A finite volume scheme for a Keller-Segel model with additional cross-diffusion. Zbl 1309.92035Bessemoulin-Chatard, Marianne; Jüngel, Ansgar 21 2014 A steady-state quantum Euler-Poisson system for potential flows. Zbl 0916.76099Jüngel, Ansgar 20 1998 Exponential time decay of solutions to a nonlinear fourth-order parabolic equation. Zbl 1029.35033Jüngel, A.; Toscani, G. 20 2003 Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis 18 2009 Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model. Zbl 1263.35131Carrillo, José Antonio; Hittmeir, Sabine; Jüngel, Ansgar 18 2012 Diffusive and nondiffusive population models. Zbl 1398.92205Jüngel, Ansgar 17 2010 Dissipative quantum fluid models. Zbl 1257.82085Jüngel, Ansgar 17 2012 On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions. Zbl 0994.35072Díaz, J. Ildefonso; Galiano, Gonzalo; Jüngel, Ansgar 17 2001 Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics. Zbl 0963.35079Jüngel, Ansgar 16 2000 A derivation of the isothermal quantum hydrodynamic equations using entropy minimization. Zbl 1077.76074Jüngel, Ansgar; Matthes, Daniel 16 2005 Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors. Zbl 0982.35112Amster, P.; Varela, M. P. Beccar; Jüngel, A.; Mariani, M. C. 16 2001 Nonlinear problems in quantum semiconductor modeling. Zbl 1042.82630Jüngel, Ansgar 16 2001 Convergent semidiscretization of a nonlinear fourth order parabolic system. Zbl 1026.35045Jüngel, Ansgar; Pinnau, René 16 2003 Physical and numerical viscosity for quantum hydrodynamics. Zbl 1130.76088Jüngel, Ansgar; Milišić, Josipa Pina 16 2007 The quasineutral limit in the quantum drift-diffusion equation. Zbl 1156.35077Jüngel, Ansgar; Violet, Ingrid 16 2007 An asymptotic limit of a Navier-Stokes system with capillary effects. Zbl 1297.35169Jüngel, Ansgar; Lin, Chi-Kun; Wu, Kung-Chien 15 2014 A nonlinear drift-diffusion system with electric convection arising in electrophoretic and semiconductor modeling. Zbl 1157.35406Jüngel, Ansgar 15 1997 The quantum hydrodynamic model for semiconductors in thermal equilibrium. Zbl 0882.76108Gasser, Ingenuin; Jüngel, Ansgar 15 1997 A discretization scheme for a quasi-hydrodynamic semiconductor model. Zbl 0907.35075Jüngel, Ansgar; Pietra, Paola 15 1997 Exponential decay in time of solutions of the viscous quantum hydrodynamic equations. Zbl 1042.82047Gualdani, M. P.; Jüngel, A.; Toscani, G. 15 2003 The zero-electron-mass limit in the hydrodynamic model for plasmas. Zbl 1189.35019Alì, Giuseppe; Chen, Li; Jüngel, Ansgar; Peng, Yue-Jun 14 2010 Inviscid limits of the complex Ginzburg-Landau equation. Zbl 0978.35059Bechouche, Philippe; Jüngel, Ansgar 14 2000 A quantum regularization of the one-dimensional hydrodynamic model for semiconductors. Zbl 1174.82348Gyi, Myo Thein; Jüngel, Ansgar 14 2000 Convergence of Schrödinger-Poisson systems to the compressible Euler equations. Zbl 1044.35090Jüngel, Ansgar; Wang, Shu 14 2003 Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148Jüngel, Ansgar; Milišić, Josipa-Pina 13 2011 A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Zbl 1119.35024Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar 13 2006 Hypocoercivity for a linearized multispecies Boltzmann system. Zbl 1350.35141Daus, Esther S.; Jüngel, Ansgar; Mouhot, Clément; Zamponi, Nicola 13 2016 Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities. Zbl 1341.65034Chainais-Hillairet, Claire; Jüngel, Ansgar; Schuchnigg, Stefan 13 2016 Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations. Zbl 1069.65128Jüngel, Ansgar; Unterreiter, Andreas 13 2005 A mixed finite-element discretization of the energy-transport model for semiconductors. Zbl 1163.65332Holst, Stefan; Jungel, Ansgar; Pietra, Paolo 13 2003 A parabolic cross-diffusion system for granular materials. Zbl 1047.35058Galiano, Gonzalo; Jüngel, Ansgar; Velasco, Julián 13 2003 A hierachy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations. Zbl 0956.35010Jüngel, Ansgar; Peng, Yue-Jun 12 2000 Numerical approximation of a drift-diffusion model for semiconductors with nonlinear diffusion. Zbl 0866.35056Jüngel, A. 12 1995 Analysis of a parabolic cross-diffusion semiconductor model with electron-hole scattering. Zbl 1143.35069Chen, Li; Jüngel, Ansgar 12 2007 Quantum Euler-Poisson systems: existence of stationary states. Zbl 1122.35140Jüngel, Ansgar; Li, Hailiang 11 2004 High-field approximations of the energy-transport model for semiconductors with non-parabolic band structure. Zbl 0991.35043Degond, Pierre; Jüngel, Ansgar 11 2001 Blow-up in two-component nonlinear Schrödinger systems with an external driven field. Zbl 1286.35229Jüngel, Ansgar; Weishäupl, Rada-Maria 11 2013 Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. Zbl 1113.35034Carrillo, José A.; Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar 11 2006 Numerical approximation of the viscous quantum hydrodynamic model for semiconductors. Zbl 1097.82030Jüngel, Ansgar; Tang, Shaoqiang 10 2006 A sixth-order nonlinear parabolic equation for quantum systems. Zbl 1197.35151Jüngel, Ansgar; Milišić, Josipa-Pina 10 2009 Rigorous mean-field limit and cross-diffusion. Zbl 1421.35376Chen, Li; Daus, Esther S.; Jüngel, Ansgar 10 2019 Zero-mass-electrons limits in hydrodynamic models for plasmas. Zbl 0959.76096Goudon, T.; Jüngel, A.; Peng, Y.-J. 9 1999 Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations. Zbl 1375.65073Jüngel, Ansgar; Schuchnigg, Stefan 9 2017 Symmetrization and entropy inequality for general diffusion equations. Zbl 0890.60072Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 9 1997 An adaptive mixed scheme for energy-transport simulations of field-effect transistors. Zbl 1073.82626Holst, Stefan; Jüngel, Ansgar; Pietra, Paola 9 2004 First-order entropies for the Derrida-Lebowitz-Speer-Spohn equation. Zbl 1142.35044Jüngel, Ansgar; Violet, Ingrid 9 2007 A note on the uniqueness of weak solutions to a class of cross-diffusion systems. Zbl 1396.35027Chen, Xiuqing; Jüngel, Ansgar 9 2018 Existence analysis for a simplified transient energy-transport model for semiconductors. Zbl 1275.35124Jüngel, Ansgar; Pinnau, René; Röhrig, Elisa 8 2013 A three-dimensional mixed finite-element approximation of the semiconductor energy-transport equations. Zbl 1191.82115Gadau, Stephan; Jüngel, Ansgar 8 2008 Asymptotic limits for quantum trajectory models. Zbl 1006.35081Gamba, Irene M.; Jüngel, Ansgar 8 2002 Global existence analysis for degenerate energy-transport models for semiconductors. Zbl 1357.35182Zamponi, Nicola; Jüngel, Ansgar 8 2015 Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. Zbl 1408.35070Chen, Xiuqing; Jüngel, Ansgar 8 2019 Asymptotic analysis of a semiconductor model based on Fermi-Dirac statistics. Zbl 0860.35008Jüngel, Ansgar 7 1996 Entropy structure of a cross-diffusion tumor-growth model. Zbl 1241.35119Jüngel, Ansgar; Stelzer, Ines Viktoria 7 2012 Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar 7 2014 Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe 7 2011 Effective velocity in compressible Navier-Stokes equations with third-order derivatives. Zbl 1211.35217Jüngel, Ansgar 7 2011 A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors. Zbl 0894.76097Jüngel, A. 7 1997 A multidimensional nonlinear sixth-order quantum diffusion equation. Zbl 1288.35283Bukal, Mario; Jüngel, Ansgar; Matthes, Daniel 7 2013 A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara 7 2017 High-friction limits of Euler flows for multicomponent systems. Zbl 1418.35264Huo, Xiaokai; Jüngel, Ansgar; Tzavaras, Athanasios E. 7 2019 Qualitative behavior of solutions to cross-diffusion systems from population dynamics. Zbl 1381.35078Jüngel, Ansgar; Zamponi, Nicola 6 2016 Nonlocal cross-diffusion systems for multi-species populations and networks. Zbl 07499487Jüngel, Ansgar; Portisch, Stefan; Zurek, Antoine 1 2022 When do cross-diffusion systems have an entropy structure? Zbl 1456.35104Chen, Xiuqing; Jüngel, Ansgar 1 2021 Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations. Zbl 1483.65129Braukhoff, Marcel; Jüngel, Ansgar 1 2021 Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method. Zbl 1478.35173Dhariwal, Gaurav; Huber, Florian; Jüngel, Ansgar; Kuehn, Christian; Neamţu, Alexandra 1 2021 A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system. Zbl 1476.65208Jüngel, Ansgar; Zurek, Antoine 1 2021 Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems. Zbl 1477.35281Chen, Li; Daus, Esther S.; Holzinger, Alexandra; Jüngel, Ansgar 1 2021 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 3 2020 Analysis of cross-diffusion systems for fluid mixtures driven by a pressure gradient. Zbl 1442.35188Druet, Pierre-Etienne; Jüngel, Ansgar 3 2020 Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type. Zbl 1433.92073Daus, Esther S.; Jüngel, Ansgar; Tang, Bao Quoc 2 2020 A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems. Zbl 1454.65090Jüngel, Ansgar; Zurek, Antoine 2 2020 Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion. Zbl 1439.35030Jüngel, Ansgar; Leingang, Oliver; Wang, Shu 1 2020 Corrigendum to: “Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model”. Zbl 1441.35242Braukhoff, Marcel; Chen, Xiuqing; Jüngel, Ansgar 1 2020 A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. Zbl 1452.65225Bonizzoni, Francesca; Braukhoff, Marcel; Jüngel, Ansgar; Perugia, Ilaria 1 2020 Rigorous mean-field limit and cross-diffusion. Zbl 1421.35376Chen, Li; Daus, Esther S.; Jüngel, Ansgar 10 2019 Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. Zbl 1408.35070Chen, Xiuqing; Jüngel, Ansgar 8 2019 High-friction limits of Euler flows for multicomponent systems. Zbl 1418.35264Huo, Xiaokai; Jüngel, Ansgar; Tzavaras, Athanasios E. 7 2019 Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems. Zbl 1415.35151Jüngel, Ansgar; Leingang, Oliver 5 2019 Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. Zbl 1418.65157Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar 4 2019 Global martingale solutions for a stochastic population cross-diffusion system. Zbl 1422.35186Dhariwal, Gaurav; Jüngel, Ansgar; Zamponi, Nicola 4 2019 Global renormalized solutions to reaction-cross-diffusion systems with self-diffusion. Zbl 1447.35182Chen, Xiuqing; Jüngel, Ansgar 3 2019 Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport. Zbl 1438.65205Gerstenmayer, Anita; Jüngel, Ansgar 2 2019 Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method. Zbl 1404.35475Achleitner, Franz; Jüngel, Ansgar; Yamamoto, Masakazu 1 2019 Blow-up of solutions to semi-discrete parabolic-elliptic Keller-Segel models. Zbl 1432.35030Jüngel, Ansgar; Leingang, Oliver 1 2019 Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations. Zbl 1423.60119Carrillo, José A.; Jüngel, Ansgar; Santos, Matheus C. 1 2019 Two structure-preserving time discretizations for gradient flows. Zbl 1427.65407Jüngel, Ansgar; Stefanelli, Ulisse; Trussardi, Lara 1 2019 Homogenization of degenerate cross-diffusion systems. Zbl 1435.35037Jüngel, Ansgar; Ptashnyk, Mariya 1 2019 Global existence analysis of cross-diffusion population systems for multiple species. Zbl 1384.35135Chen, Xiuqing; Daus, Esther S.; Jüngel, Ansgar 23 2018 A note on the uniqueness of weak solutions to a class of cross-diffusion systems. Zbl 1396.35027Chen, Xiuqing; Jüngel, Ansgar 9 2018 Analysis of a degenerate parabolic cross-diffusion system for ion transport. Zbl 06852023Gerstenmayer, Anita; Jüngel, Ansgar 6 2018 Energy-transport systems for optical lattices: derivation, analysis, simulation. Zbl 1387.35369Braukhoff, Marcel; Jüngel, Ansgar 3 2018 Existence analysis of a single-phase flow mixture with van der Waals pressure. Zbl 1397.35123Jüngel, Ansgar; Mikyška, Jiří; Zamponi, Nicola 2 2018 Analysis of degenerate cross-diffusion population models with volume filling. Zbl 1386.35167Zamponi, Nicola; Jüngel, Ansgar 23 2017 Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations. Zbl 1375.65073Jüngel, Ansgar; Schuchnigg, Stefan 9 2017 A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara 7 2017 Discrete Beckner inequalities via the Bochner-Bakry-Emery approach for Markov chains. Zbl 1374.60144Jüngel, Ansgar; Yue, Wen 6 2017 A kinetic equation for economic value estimation with irrationality and herding. Zbl 1352.35089Düring, Bertram; Jüngel, Ansgar; Trussardi, Lara 5 2017 Corrigendum to: “Analysis of degenerate cross-diffusion population models with volume filling”. Zbl 1417.35062Zamponi, Nicola; Jüngel, Ansgar 5 2017 Uniform \(L^\infty\) estimates for approximate solutions of the bipolar drift-diffusion system. Zbl 1375.82120Bessemoulin-Chatard, M.; Chainais-Hillairet, C.; Jüngel, A. 3 2017 A cross-diffusion system derived from a Fokker-Planck equation with partial averaging. Zbl 1371.35145Jüngel, Ansgar; Zamponi, Nicola 3 2017 Entropy methods for diffusive partial differential equations. Zbl 1361.35002Jüngel, Ansgar 62 2016 Hypocoercivity for a linearized multispecies Boltzmann system. Zbl 1350.35141Daus, Esther S.; Jüngel, Ansgar; Mouhot, Clément; Zamponi, Nicola 13 2016 Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities. Zbl 1341.65034Chainais-Hillairet, Claire; Jüngel, Ansgar; Schuchnigg, Stefan 13 2016 Qualitative behavior of solutions to cross-diffusion systems from population dynamics. Zbl 1381.35078Jüngel, Ansgar; Zamponi, Nicola 6 2016 ViennaCL-linear algebra library for multi- and many-core architectures. Zbl 1349.65740Rupp, Karl; Tillet, Philippe; Rudolf, Florian; Weinbub, Josef; Morhammer, Andreas; Grasser, Tibor; Jüngel, Ansgar; Selberherr, Siegfried 6 2016 A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors. Zbl 1350.82009Chainais-Hillairet, Claire; Jüngel, Ansgar; Shpartko, Polina 5 2016 Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system. Zbl 1375.35524Zamponi, Nicola; Jüngel, Ansgar 4 2016 Pipelined iterative solvers with kernel fusion for graphics processing units. Zbl 1369.65055Rupp, Karl; Weinbub, Josef; Jüngel, Ansgar; Grasser, Tibor 4 2016 The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175Jüngel, Ansgar 79 2015 Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system. Zbl 1331.35273Chen, Xiuqing; Jüngel, Ansgar 24 2015 Global existence analysis for degenerate energy-transport models for semiconductors. Zbl 1357.35182Zamponi, Nicola; Jüngel, Ansgar 8 2015 Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations. Zbl 1332.65137Jüngel, Ansgar; Milišić, Josipa-Pina 5 2015 Bounded weak solutions to a matrix drift-diffusion model for spin-coherent electron transport in semiconductors. Zbl 1396.35029Jüngel, Ansgar; Negulescu, Claudia; Shpartko, Polina 4 2015 A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. I: Local existence of solutions. Zbl 1317.35258Jüngel, Ansgar; Winkler, Michael 2 2015 A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. II: Finite-time blow-up. Zbl 1331.35163Jüngel, Ansgar; Winkler, Michael 1 2015 A note on Aubin-Lions-Dubinskiĭ lemmas. Zbl 1326.46019Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo 36 2014 A finite volume scheme for a Keller-Segel model with additional cross-diffusion. Zbl 1309.92035Bessemoulin-Chatard, Marianne; Jüngel, Ansgar 21 2014 An asymptotic limit of a Navier-Stokes system with capillary effects. Zbl 1297.35169Jüngel, Ansgar; Lin, Chi-Kun; Wu, Kung-Chien 15 2014 Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar 7 2014 Perfectly matched layers versus discrete transparent boundary conditions in quantum device simulations. Zbl 1349.81033Mennemann, Jan-Frederik; Jüngel, Ansgar 4 2014 On the Lagrangian structure of quantum fluid models. Zbl 1276.35130Fuchs, Philipp; Jüngel, Ansgar; Von Renesse, Max 1 2014 Existence analysis of Maxwell-Stefan systems for multicomponent mixtures. Zbl 1276.35104Jüngel, Ansgar; Stelzer, Ines Viktoria 37 2013 Blow-up in two-component nonlinear Schrödinger systems with an external driven field. Zbl 1286.35229Jüngel, Ansgar; Weishäupl, Rada-Maria 11 2013 Existence analysis for a simplified transient energy-transport model for semiconductors. Zbl 1275.35124Jüngel, Ansgar; Pinnau, René; Röhrig, Elisa 8 2013 A multidimensional nonlinear sixth-order quantum diffusion equation. Zbl 1288.35283Bukal, Mario; Jüngel, Ansgar; Matthes, Daniel 7 2013 Two spinorial drift-diffusion models for quantum electron transport in graphene. Zbl 1282.35132Jüngel, Ansgar; Zamponi, Nicola 4 2013 Flatness of semilinear parabolic PDEs – a generalized Cauchy-Kowalevski approach. Zbl 1369.93274Schörkhuber, Birgit; Meurer, Thomas; Jüngel, Ansgar 3 2013 Compact families of piecewise constant functions in \(L^p (0,T;B)\). Zbl 1245.46017Dreher, Michael; Jüngel, Ansgar 48 2012 Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model. Zbl 1263.35131Carrillo, José Antonio; Hittmeir, Sabine; Jüngel, Ansgar 18 2012 Dissipative quantum fluid models. Zbl 1257.82085Jüngel, Ansgar 17 2012 Entropy structure of a cross-diffusion tumor-growth model. Zbl 1241.35119Jüngel, Ansgar; Stelzer, Ines Viktoria 7 2012 Quantum Navier-Stokes equations. Zbl 1246.82079Jüngel, Ansgar; Milišić, Josipa-Pina 5 2012 Deterministic numerical solution of the Boltzmann transport equation. Zbl 1246.82094Rupp, Karl; Grasser, Tibor; Jüngel, Ansgar 1 2012 Lyapunov functionals, weak sequential stability, and uniqueness analysis for energy-transport systems. Zbl 1304.35019Jüngel, Ansgar; Kristöfel, Peter 1 2012 Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model. Zbl 1259.35114Hittmeir, Sabine; Jüngel, Ansgar 36 2011 Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148Jüngel, Ansgar; Milišić, Josipa-Pina 13 2011 Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe 7 2011 Effective velocity in compressible Navier-Stokes equations with third-order derivatives. Zbl 1211.35217Jüngel, Ansgar 7 2011 A new derivation of the quantum Navier-Stokes equations in the Wigner-Fokker-Planck approach. Zbl 1238.82024Jüngel, Ansgar; López, José Luis; Montejo-Gámez, Jesús 6 2011 Diffusive semiconductor moment equations using Fermi-Dirac statistics. Zbl 1276.82063Jüngel, Ansgar; Krause, Stefan; Pietra, Paola 5 2011 A finite-volume scheme for the multidimensional quantum drift-diffusion model for semiconductors. Zbl 1251.82055Chainais-Hillairet, Claire; Gisclon, Marguerite; Jüngel, Ansgar 4 2011 Semiclassical limit in a simplified quantum energy-transport model for semiconductors. Zbl 1246.35025Chen, Li; Chen, Xiu-Qing; Jüngel, Ansgar 1 2011 Entropies for radially symmetric higher-order nonlinear diffusion equations. Zbl 1221.35077Bukal, Mario; Jungel, Ansgar; Matthes, Daniel 1 2011 A simplified quantum energy-transport model for semiconductors. Zbl 1206.35152Jüngel, Ansgar; Milišić, Josipa-Pina 1 2011 Global weak solutions to compressible Navier-Stokes equations for quantum fluids. Zbl 1228.35083Jüngel, Ansgar 73 2010 Diffusive and nondiffusive population models. Zbl 1398.92205Jüngel, Ansgar 17 2010 The zero-electron-mass limit in the hydrodynamic model for plasmas. Zbl 1189.35019Alì, Giuseppe; Chen, Li; Jüngel, Ansgar; Peng, Yue-Jun 14 2010 Energy transport in semiconductor devices. Zbl 1298.35106Jüngel, Ansgar 6 2010 Time-dependent simulations of quantum waveguides using a time-splitting spectral method. Zbl 1205.81091Jüngel, Ansgar; Mennemann, Jan-Frederik 1 2010 Matrix compression for spherical harmonics expansions of the Boltzmann transport equation for semiconductors. Zbl 1204.82039Rupp, Karl; Jüngel, Ansgar; Grasser, T. 1 2010 Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis 18 2009 A sixth-order nonlinear parabolic equation for quantum systems. Zbl 1197.35151Jüngel, Ansgar; Milišić, Josipa-Pina 10 2009 Sequential quadratic programming method for volatility estimation in option pricing. Zbl 1159.91389Düring, B.; Jüngel, A.; Volkwein, S. 1 2009 The Derrida–Lebowitz–Speer– Spohn equation: Existence, nonuniqueness, and decay rates of the solutions. Zbl 1160.35428Jüngel, Ansgar; Matthes, Daniel 46 2008 A three-dimensional mixed finite-element approximation of the semiconductor energy-transport equations. Zbl 1191.82115Gadau, Stephan; Jüngel, Ansgar 8 2008 Numerical coupling of electric circuit equations and energy-transport models for semiconductors. Zbl 1160.78313Brunk, Markus; Jüngel, Ansgar 4 2008 Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in \(\mathbb R^d\). Zbl 1152.35317Carrillo, J. A.; Gualdani, M. P.; Jüngel, A. 3 2008 Simulation of thermal effects in optoelectronic devices using coupled energy-transport and circuit models. Zbl 1157.78308Brunk, Markus; Jüngel, Ansgar 1 2008 A two-surface problem of the electron flow in a semiconductor on the basis of kinetic theory. Zbl 1136.82382Taguchi, Satoshi; Jüngel, Ansgar 1 2008 Non-homogeneous boundary conditions for a fourth-order diffusion equation. Zbl 1143.34305Amster, Pablo; Jüngel, Ansgar; Matthes, Daniel 1 2008 Physical and numerical viscosity for quantum hydrodynamics. Zbl 1130.76088Jüngel, Ansgar; Milišić, Josipa Pina 16 2007 ...and 81 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,332 Authors 99 Jüngel, Ansgar 38 Li, Yeping 28 Carrillo de la Plata, José Antonio 26 Wang, Shu 23 Dolbeault, Jean 21 Chen, Li 18 Chainais-Hillairet, Claire 18 Peng, Yuejun 18 Yang, Jianwei 18 Zhang, Kaijun 17 Chen, Xiuqing 17 Zamponi, Nicola 15 Daus, Esther S. 14 Pinnau, René 13 Ju, Qiangchang 12 Antonelli, Paolo 12 Galiano Casas, Gonzalo 12 Toscani, Giuseppe 12 Winkler, Michael 11 Mei, Ming 11 Ogawa, Takayoshi 11 Salvarani, Francesco 10 Cancès, Clément 10 Guo, Boling 10 Hsiao, Ling 10 Li, Hailiang 10 Markowich, Peter Alexander 9 Dong, Jianwei 9 Liu, Jianguo 9 Marcati, Pierangelo 9 Romano, Vittorio 9 Vazquez, Juan Luis 9 Xu, Jiang 8 Company, Rafael 8 Desvillettes, Laurent 8 Lacroix-Violet, Ingrid 8 Matthes, Daniel 8 Xu, Xiangsheng 8 Zatorska, Ewelina 8 Zhang, Guojing 7 Barletti, Luigi 7 Bendahmane, Mostafa 7 Bessemoulin-Chatard, Marianne 7 Burger, Martin 7 Dreher, Michael 7 Düring, Bertram 7 Feng, Yuehong 7 Fu, Shengmao 7 Goudon, Thierry 7 Gualdani, Maria Pia 7 Jódar Sanchez, Lucas Antonio 7 Kühn, Christian 7 Li, Fucai 7 López, José Luis 7 McCann, Robert J. 7 Méhats, Florian 7 Rueda-Gómez, Diego Armando 7 Tan, Zhong 7 Tao, Youshan 7 Vasseur, Alexis F. 6 Alì, Giuseppe 6 Belopol’skaya, Yana Isaevna 6 Braukhoff, Marcel 6 Briant, Marc 6 Degond, Pierre 6 Di Francesco, Marco 6 Donatelli, Donatella 6 Druet, Pierre-Étienne 6 Fellner, Klemens 6 Li, Yong 6 Pu, Xueke 6 Rodríguez-Bellido, Maria Angeles 6 Schmeiser, Christian 6 Wang, Zhian 6 Wolfram, Marie-Therese 6 Yamamoto, Masakazu 6 Yu, Huimin 5 Blanchet, Adrien 5 Bothe, Dieter 5 Boudin, Laurent 5 Bresch, Didier 5 Di Michele, Federica 5 Disser, Karoline 5 Esteban, Maria J. 5 Feireisl, Eduard 5 Fischer, Julian 5 Guillén González, Francisco M. 5 Hittmeir, Sabine 5 Jin, Hai-Yang 5 Kim, Yong Jung 5 Kurokiba, Masaki 5 Kwon, Young-Sam 5 Liang, Bo 5 Liu, Hailiang 5 Moussa, Ayman 5 Nieto, Juanjo 5 Perthame, Benoît 5 Piasecki, Tomasz 5 Pietschmann, Jan-Frederik 5 Pinaud, Olivier ...and 1,232 more Authors all top 5 Cited in 218 Serials 83 Journal of Differential Equations 68 Journal of Mathematical Analysis and Applications 52 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 42 Nonlinear Analysis. Real World Applications 36 SIAM Journal on Mathematical Analysis 25 Archive for Rational Mechanics and Analysis 25 Computers & Mathematics with Applications 25 Applied Mathematics Letters 24 Journal of Computational Physics 23 Communications in Partial Differential Equations 23 Discrete and Continuous Dynamical Systems 22 Numerische Mathematik 21 Kinetic and Related Models 19 Journal of Mathematical Physics 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Journal of Statistical Physics 17 Mathematical Methods in the Applied Sciences 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Journal of Computational and Applied Mathematics 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Journal of Functional Analysis 13 Applicable Analysis 13 Applied Mathematics and Computation 12 Discrete and Continuous Dynamical Systems. Series B 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Acta Applicandae Mathematicae 11 Mathematical and Computer Modelling 11 Journal of Nonlinear Science 10 Applied Numerical Mathematics 10 Journal of Mathematical Fluid Mechanics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Calculus of Variations and Partial Differential Equations 9 Journal of Evolution Equations 8 Chinese Annals of Mathematics. 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New Series 3 Bulletin des Sciences Mathématiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Abstract and Applied Analysis 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 International Journal of Theoretical and Applied Finance 3 Annales Henri Poincaré 3 Foundations of Computational Mathematics 3 Journal of Applied Mathematics 3 Analysis and Applications (Singapore) 3 Mathematical Biosciences and Engineering 3 Boundary Value Problems 3 Communications in Computational Physics 3 Science China. Mathematics 3 Journal of Elliptic and Parabolic Equations 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Mathematical Biosciences 2 Physica A 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Inventiones Mathematicae 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society ...and 118 more Serials all top 5 Cited in 39 Fields 993 Partial differential equations (35-XX) 325 Fluid mechanics (76-XX) 312 Statistical mechanics, structure of matter (82-XX) 265 Numerical analysis (65-XX) 196 Biology and other natural sciences (92-XX) 66 Optics, electromagnetic theory (78-XX) 64 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Probability theory and stochastic processes (60-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 36 Quantum theory (81-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Functional analysis (46-XX) 29 Classical thermodynamics, heat transfer (80-XX) 28 Operator theory (47-XX) 27 Ordinary differential equations (34-XX) 20 Real functions (26-XX) 16 Mechanics of deformable solids (74-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Systems theory; control (93-XX) 12 Information and communication theory, circuits (94-XX) 11 Integral equations (45-XX) 7 Difference and functional equations (39-XX) 6 Computer science (68-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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