Edit Profile (opens in new tab) Jüngel, Ansgar Co-Author Distance 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: 242 Publications since 1994, including 5 Books and 22 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 140 Co-Authors with 219 Joint Publications 3,641 Co-Co-Authors all top 5 Co-Authors 25 single-authored 18 Zamponi, Nicola 11 Chen, Xiuqing 9 Chen, Li 8 Daus, Esther S. 8 Galiano Casas, Gonzalo 8 Matthes, Daniel 8 Milišić, Josipa Pina 8 Peng, Yuejun 8 Pietra, Paola 8 Zurek, Antoine 7 Carrillo de la Plata, José Antonio 7 Degond, Pierre 6 Düring, Bertram 6 Markowich, Peter Alexander 6 Toscani, Giuseppe 5 Braukhoff, Marcel 5 Chainais-Hillairet, Claire 5 Génieys, Stéphane 5 Li, Hailiang 5 Pinnau, René 5 Trussardi, Lara 4 Arnold, Anton 4 Grasser, Tibor 4 Huo, Xiaokai 4 Rupp, Karl 4 Tzavaras, Athanasios E. 3 Achleitner, Franz 3 Bukal, Mario 3 Desvillettes, Laurent 3 Dhariwal, Gaurav 3 Díaz Díaz, Jesús Ildefonso 3 Dolbeault, Jean 3 Fellner, Markus 3 Martínez Gamba, Irene 3 Garzon, Maria Luisa 3 Gerstenmayer, Anita 3 Gualdani, Maria Pia 3 Helmer, Christoph 3 Holst, Stefan 3 Holzinger, Philipp 3 Lacroix-Violet, Ingrid 3 Leingang, Oliver 3 Mennemann, Jan-Frederik 3 Portisch, Stefan 3 Schuchnigg, Stefan 3 Shpartko, Polina 3 Tang, Shaoqiang 3 Wang, Shu 2 Alì, Giuseppe 2 Amster, Pablo 2 Barletti, Luigi 2 Bessemoulin-Chatard, Marianne 2 Brunk, Markus 2 Druet, Pierre-Étienne 2 Fournié, Michel 2 Fuchs, Philipp 2 Gadau, Stephan 2 Gentil, Ivan 2 Georgiadis, Stefanos 2 Hittmeir, Sabine 2 Holzinger, Alexandra 2 Hopf, Katharina 2 Huber, Florian 2 Krause, Stefan 2 Kühn, Christian 2 Mariani, Maria Cristina 2 Matsumura, Akitaka 2 Röhrig, Elisa 2 Schmeiser, Christian 2 Stefanelli, Ulisse 2 Stelzer, Ines Viktoria 2 Unterreiter, Andreas 2 Vetter, Martin 2 Weinbub, Josef 2 Winkler, Michael 1 Aoki, Kazuo 1 Beccar Varela, Maria Pia 1 Bechouche, Philippe 1 Biswas, Mrinmay 1 Bonizzoni, Francesca 1 Bulíček, Miroslav 1 Cancès, Clément 1 Di Fratta, Giovanni 1 Dreher, Michael 1 Emmrich, Etienne 1 Favre, Gianluca 1 Gasser, Ingenuin 1 Gisclon, Marguerite 1 Goudon, Thierry 1 Günther, Michael 1 Gyi, Myo Thein 1 Hansen, Olaf 1 Hu, Jingwei 1 Huber, Floriahn 1 Jourdana, Clément 1 Kosina, Hans 1 Kristöfel, Peter 1 Lederman, Claudia B. 1 Li, Yue 1 Lin, Chikun ...and 40 more Co-Authors all top 5 Serials 13 Journal of Differential Equations 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 13 SIAM Journal on Mathematical Analysis 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Communications in Partial Differential Equations 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 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 IMA Journal of Numerical Analysis 3 Journal of Computational Physics 3 Nonlinearity 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 European Journal of Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Nonlinear Analysis. Real World Applications 2 Journal of Statistical Physics 2 Monatshefte für Mathematik 2 Quarterly of Applied Mathematics 2 Asymptotic Analysis 2 SIAM Journal on Applied Mathematics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Applicable Analysis 1 Journal of Mathematical Physics 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Optimization 1 Archivum Mathematicum 1 IEEE Transactions on Automatic Control 1 Journal of Computational and Applied Mathematics 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 Mathematical Fluid Mechanics 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 1 Mathematics in Engineering all top 5 Fields 198 Partial differential equations (35-XX) 84 Statistical mechanics, structure of matter (82-XX) 60 Fluid mechanics (76-XX) 57 Numerical analysis (65-XX) 47 Biology and other natural sciences (92-XX) 28 Optics, electromagnetic theory (78-XX) 15 Probability theory and stochastic processes (60-XX) 7 Quantum theory (81-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-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 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 193 Publications have been cited 3,176 times in 1,470 Documents Cited by ▼ Year ▼ Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Zbl 0984.35027 Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A. 152 2001 Quasi-hydrodynamic semiconductor equations. Zbl 0969.35001 Jüngel, Ansgar 143 2001 The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175 Jüngel, Ansgar 105 2015 Global weak solutions to compressible Navier-Stokes equations for quantum fluids. Zbl 1228.35083 Jüngel, Ansgar 97 2010 Entropy methods for diffusive partial differential equations. Zbl 1361.35002 Jüngel, Ansgar 91 2016 Analysis of a multidimensional parabolic population model with strong cross-diffusion. Zbl 1082.35075 Chen, Li; Jüngel, Ansgar 88 2004 Analysis of a parabolic cross-diffusion population model without self-diffusion. Zbl 1096.35060 Chen, Li; Jüngel, Ansgar 85 2006 Compact families of piecewise constant functions in \(L^p (0,T;B)\). Zbl 1245.46017 Dreher, Michael; Jüngel, Ansgar 62 2012 Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model. Zbl 1018.65115 Galiano, Gonzalo; Garzón, María L.; Jüngel, Ansgar 59 2003 Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas. Zbl 1020.35072 Alì, Giuseppe; Jüngel, Ansgar 57 2003 The Derrida–Lebowitz–Speer– Spohn equation: Existence, nonuniqueness, and decay rates of the solutions. Zbl 1160.35428 Jüngel, Ansgar; Matthes, Daniel 54 2008 A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits. Zbl 0946.35074 Jüngel, Ansgar; Peng, Yue-Jun 50 1999 Existence analysis of Maxwell-Stefan systems for multicomponent mixtures. Zbl 1276.35104 Jüngel, Ansgar; Stelzer, Ines Viktoria 47 2013 A note on Aubin-Lions-Dubinskiĭ lemmas. Zbl 1326.46019 Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo 45 2014 Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model. Zbl 1259.35114 Hittmeir, Sabine; Jüngel, Ansgar 43 2011 Global nonnegative solutions of a nonlinear fourth-order parabolic equation for quantum systems. Zbl 0979.35061 Jüngel, Ansgar; Pinnau, René 43 2000 A positivity-preserving numerical scheme for a nonlinear fourth order parabolic system. Zbl 0994.35047 Jüngel, Ansgar; Pinnau, René 43 2001 Quantum Euler-Poisson systems: global existence and exponential decay. Zbl 1069.35012 Jüngel, Ansgar; Li, Hailiang 43 2004 A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects. Zbl 0907.35059 Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 38 1997 Qualitative behavior of solutions of a degenerate nonlinear drift-diffusion model for semiconductors. Zbl 0841.35114 Jüngel, Ansgar 38 1995 Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited. Zbl 0963.35115 Jüngel, Ansgar; Peng, Yue-Jun 35 2000 High-order compact finite difference schemes for a nonlinear Black-Scholes equation. Zbl 1070.91024 Düring, Bertram; Fournié, Michel; Jüngel, Ansgar 35 2003 Global existence analysis of cross-diffusion population systems for multiple species. Zbl 1384.35135 Chen, Xiuqing; Daus, Esther S.; Jüngel, Ansgar 34 2018 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109 Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 33 2004 Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation. Zbl 1124.91031 Düring, Bertram; Fournié, Michel; Jüngel, Ansgar 32 2004 Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system. Zbl 1331.35273 Chen, Xiuqing; Jüngel, Ansgar 31 2015 Analysis of degenerate cross-diffusion population models with volume filling. Zbl 1386.35167 Zamponi, Nicola; Jüngel, Ansgar 30 2017 Positive solutions to singular second and third order differential equations for quantum fluids. Zbl 1013.76009 Gamba, Irene M.; Jüngel, Ansgar 29 2001 A hierarchy of hydrodynamic models for plasmas. Quasi-neutral limits in the drift-diffusion equations. Zbl 1045.76058 Jüngel, Ansgar; Peng, Yue-Jun 29 2001 Local existence of solutions to the transient quantum hydrodynamic equations. Zbl 1215.81031 Jüngel, Ansgar; Mariani, Maria Cristina; Rial, Diego 29 2002 Derivation of new quantum hydrodynamic equations using entropy minimization. Zbl 1121.35117 Jüngel, Ansgar; Matthes, Daniel; Milišić, Josipa Pina 28 2006 On the existence and uniqueness of transient solutions of a degenerate nonlinear drift-diffusion model for semiconductors. Zbl 0820.35128 Jüngel, Ansgar 28 1994 An algorithmic construction of entropies in higher-order nonlinear PDEs. Zbl 1091.35031 Jüngel, Ansgar; Matthes, Daniel 28 2006 Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049 Gualdini, Maria Pia; Jüngel, Ansgar 28 2004 Diffusive and nondiffusive population models. Zbl 1398.92205 Jüngel, Ansgar 27 2010 Analysis and numerical solution of a nonlinear cross-diffusion system arising in population dynamics. Zbl 1021.35047 Galiano, G.; Garzón, M. L.; Jüngel, A. 26 2001 The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364 Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka 26 2006 A finite volume scheme for a Keller-Segel model with additional cross-diffusion. Zbl 1309.92035 Bessemoulin-Chatard, Marianne; Jüngel, Ansgar 26 2014 A steady-state quantum Euler-Poisson system for potential flows. Zbl 0916.76099 Jüngel, Ansgar 25 1998 Numerical discretization of energy-transport models for semiconductors with nonparabolic band structure. Zbl 1049.82074 Degond, Pierre; Jüngel, Ansgar; Pietra, Paola 24 2000 A steady-state system in non-equilibrium thermodynamics including thermal and electrical effects. Zbl 0935.35046 Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 24 1998 Dissipative quantum fluid models. Zbl 1257.82085 Jüngel, Ansgar 24 2012 Physical and numerical viscosity for quantum hydrodynamics. Zbl 1130.76088 Jüngel, Ansgar; Milišić, Josipa Pina 23 2007 Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209 Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis 23 2009 Exponential time decay of solutions to a nonlinear fourth-order parabolic equation. Zbl 1029.35033 Jüngel, A.; Toscani, G. 22 2003 Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148 Jüngel, Ansgar; Milišić, Josipa-Pina 20 2011 A derivation of the isothermal quantum hydrodynamic equations using entropy minimization. Zbl 1077.76074 Jüngel, Ansgar; Matthes, Daniel 20 2005 Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model. Zbl 1263.35131 Carrillo, José Antonio; Hittmeir, Sabine; Jüngel, Ansgar 20 2012 Rigorous mean-field limit and cross-diffusion. Zbl 1421.35376 Chen, Li; Daus, Esther S.; Jüngel, Ansgar 20 2019 On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions. Zbl 0994.35072 Díaz, J. Ildefonso; Galiano, Gonzalo; Jüngel, Ansgar 19 2001 Hypocoercivity for a linearized multispecies Boltzmann system. Zbl 1350.35141 Daus, Esther S.; Jüngel, Ansgar; Mouhot, Clément; Zamponi, Nicola 19 2016 The zero-electron-mass limit in the hydrodynamic model for plasmas. Zbl 1189.35019 Alì, Giuseppe; Chen, Li; Jüngel, Ansgar; Peng, Yue-Jun 18 2010 Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics. Zbl 0963.35079 Jüngel, Ansgar 18 2000 Exponential decay in time of solutions of the viscous quantum hydrodynamic equations. Zbl 1042.82047 Gualdani, M. P.; Jüngel, A.; Toscani, G. 18 2003 An asymptotic limit of a Navier-Stokes system with capillary effects. Zbl 1297.35169 Jüngel, Ansgar; Lin, Chi-Kun; Wu, Kung-Chien 18 2014 A hierachy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations. Zbl 0956.35010 Jüngel, Ansgar; Peng, Yue-Jun 17 2000 A discretization scheme for a quasi-hydrodynamic semiconductor model. Zbl 0907.35075 Jüngel, Ansgar; Pietra, Paola 17 1997 Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors. Zbl 0982.35112 Amster, P.; Varela, M. P. Beccar; Jüngel, A.; Mariani, M. C. 17 2001 A quantum regularization of the one-dimensional hydrodynamic model for semiconductors. Zbl 1174.82348 Gyi, Myo Thein; Jüngel, Ansgar 17 2000 A parabolic cross-diffusion system for granular materials. Zbl 1047.35058 Galiano, Gonzalo; Jüngel, Ansgar; Velasco, Julián 17 2003 A nonlinear drift-diffusion system with electric convection arising in electrophoretic and semiconductor modeling. Zbl 1157.35406 Jüngel, Ansgar 17 1997 The quantum hydrodynamic model for semiconductors in thermal equilibrium. Zbl 0882.76108 Gasser, Ingenuin; Jüngel, Ansgar 17 1997 The quasineutral limit in the quantum drift-diffusion equation. Zbl 1156.35077 Jüngel, Ansgar; Violet, Ingrid 17 2007 Convergent semidiscretization of a nonlinear fourth order parabolic system. Zbl 1026.35045 Jüngel, Ansgar; Pinnau, René 17 2003 Quantum Euler-Poisson systems: existence of stationary states. Zbl 1122.35140 Jüngel, Ansgar; Li, Hailiang 16 2004 Inviscid limits of the complex Ginzburg-Landau equation. Zbl 0978.35059 Bechouche, Philippe; Jüngel, Ansgar 16 2000 Nonlinear problems in quantum semiconductor modeling. Zbl 1042.82630 Jüngel, Ansgar 16 2001 Analysis of a parabolic cross-diffusion semiconductor model with electron-hole scattering. Zbl 1143.35069 Chen, Li; Jüngel, Ansgar 15 2007 Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations. Zbl 1069.65128 Jüngel, Ansgar; Unterreiter, Andreas 15 2005 Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities. Zbl 1341.65034 Chainais-Hillairet, Claire; Jüngel, Ansgar; Schuchnigg, Stefan 15 2016 Blow-up in two-component nonlinear Schrödinger systems with an external driven field. Zbl 1286.35229 Jüngel, Ansgar; Weishäupl, Rada-Maria 15 2013 A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Zbl 1119.35024 Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar 14 2006 Symmetrization and entropy inequality for general diffusion equations. Zbl 0890.60072 Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar 14 1997 Convergence of Schrödinger-Poisson systems to the compressible Euler equations. Zbl 1044.35090 Jüngel, Ansgar; Wang, Shu 14 2003 Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. Zbl 1113.35034 Carrillo, José A.; Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar 13 2006 A mixed finite-element discretization of the energy-transport model for semiconductors. Zbl 1163.65332 Holst, Stefan; Jungel, Ansgar; Pietra, Paola 13 2003 Numerical approximation of the viscous quantum hydrodynamic model for semiconductors. Zbl 1097.82030 Jüngel, Ansgar; Tang, Shaoqiang 12 2006 Numerical approximation of a drift-diffusion model for semiconductors with nonlinear diffusion. Zbl 0866.35056 Jüngel, A. 12 1995 A note on the uniqueness of weak solutions to a class of cross-diffusion systems. Zbl 1396.35027 Chen, Xiuqing; Jüngel, Ansgar 12 2018 Effective velocity in compressible Navier-Stokes equations with third-order derivatives. Zbl 1211.35217 Jüngel, Ansgar 11 2011 Zero-mass-electrons limits in hydrodynamic models for plasmas. Zbl 0959.76096 Goudon, T.; Jüngel, A.; Peng, Y.-J. 11 1999 High-field approximations of the energy-transport model for semiconductors with non-parabolic band structure. Zbl 0991.35043 Degond, Pierre; Jüngel, Ansgar 11 2001 Entropy structure of a cross-diffusion tumor-growth model. Zbl 1241.35119 Jüngel, Ansgar; Stelzer, Ines Viktoria 11 2012 ViennaCL-linear algebra library for multi- and many-core architectures. Zbl 1349.65740 Rupp, Karl; Tillet, Philippe; Rudolf, Florian; Weinbub, Josef; Morhammer, Andreas; Grasser, Tibor; Jüngel, Ansgar; Selberherr, Siegfried 11 2016 A sixth-order nonlinear parabolic equation for quantum systems. Zbl 1197.35151 Jüngel, Ansgar; Milišić, Josipa-Pina 11 2009 First-order entropies for the Derrida-Lebowitz-Speer-Spohn equation. Zbl 1142.35044 Jüngel, Ansgar; Violet, Ingrid 10 2007 Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations. Zbl 1375.65073 Jüngel, Ansgar; Schuchnigg, Stefan 10 2017 Qualitative behavior of solutions to cross-diffusion systems from population dynamics. Zbl 1381.35078 Jüngel, Ansgar; Zamponi, Nicola 10 2016 Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302 Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe 9 2011 Analysis of a degenerate parabolic cross-diffusion system for ion transport. Zbl 1516.35185 Gerstenmayer, Anita; Jüngel, Ansgar 9 2018 Positive entropic schemes for a nonlinear fourth-order parabolic equation. Zbl 1023.65090 Carrillo, José A.; Jüngel, Ansgar; Tang, Shaoqiang 9 2003 An adaptive mixed scheme for energy-transport simulations of field-effect transistors. Zbl 1073.82626 Holst, Stefan; Jüngel, Ansgar; Pietra, Paola 9 2004 Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163 Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar 9 2014 Global existence analysis for degenerate energy-transport models for semiconductors. Zbl 1357.35182 Zamponi, Nicola; Jüngel, Ansgar 9 2015 Asymptotic limits for quantum trajectory models. Zbl 1006.35081 Gamba, Irene M.; Jüngel, Ansgar 9 2002 Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems. Zbl 1477.35281 Chen, Li; Daus, Esther S.; Holzinger, Alexandra; Jüngel, Ansgar 9 2021 Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. Zbl 1408.35070 Chen, Xiuqing; Jüngel, Ansgar 9 2019 Existence analysis for a simplified transient energy-transport model for semiconductors. Zbl 1275.35124 Jüngel, Ansgar; Pinnau, René; Röhrig, Elisa 9 2013 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227 Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 9 2020 A multidimensional nonlinear sixth-order quantum diffusion equation. Zbl 1288.35283 Bukal, Mario; Jüngel, Ansgar; Matthes, Daniel 9 2013 A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems. Zbl 1511.65092 Jüngel, Ansgar; Zurek, Antoine 2 2023 Analysis of a finite-volume scheme for a single-species biofilm model. Zbl 07699015 Helmer, Christoph; Jüngel, Ansgar; Zurek, Antoine 1 2023 Nonlocal cross-diffusion systems for multi-species populations and networks. Zbl 1486.35259 Jüngel, Ansgar; Portisch, Stefan; Zurek, Antoine 7 2022 Weak-strong uniqueness for Maxwell-Stefan systems. Zbl 1498.35008 Huo, Xiaokai; Jüngel, Ansgar; Tzavaras, Athanasios E. 3 2022 A minimizing-movements approach to GENERIC systems. Zbl 1503.65313 Jüngel, Ansgar; Stefanelli, Ulisse; Trussardi, Lara 1 2022 Analysis of a fractional cross-diffusion system for multi-species populations. Zbl 1486.35431 Jüngel, Ansgar; Zamponi, Nicola 1 2022 Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures. Zbl 1508.35034 Bulíček, Miroslav; Jüngel, Ansgar; Pokorný, Milan; Zamponi, Nicola 1 2022 Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems. Zbl 1477.35281 Chen, Li; Daus, Esther S.; Holzinger, Alexandra; Jüngel, Ansgar 9 2021 When do cross-diffusion systems have an entropy structure? Zbl 1456.35104 Chen, Xiuqing; Jüngel, Ansgar 4 2021 Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms. Zbl 07528267 Daus, Esther S.; Jüngel, Ansgar; Zurek, Antoine 4 2021 A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system. Zbl 1476.65208 Jüngel, Ansgar; Zurek, Antoine 3 2021 Analysis of Maxwell-Stefan systems for heat conducting fluid mixtures. Zbl 1468.35203 Helmer, Christoph; Jüngel, Ansgar 2 2021 Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations. Zbl 1483.65129 Braukhoff, Marcel; Jüngel, Ansgar 1 2021 Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction. Zbl 1497.76131 Barletti, Luigi; Holzinger, Philipp; Jüngel, Ansgar 1 2021 Existence analysis of a degenerate diffusion system for heat-conducting gases. Zbl 1471.35185 Favre, Gianluca; Jüngel, Ansgar; Schmeiser, Christian; Zamponi, Nicola 1 2021 Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method. Zbl 1478.35173 Dhariwal, Gaurav; Huber, Florian; Jüngel, Ansgar; Kuehn, Christian; Neamţu, Alexandra 1 2021 Cross-diffusion systems and fast-reaction limits. Zbl 1436.35227 Daus, Esther S.; Desvillettes, Laurent; Jüngel, Ansgar 9 2020 Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type. Zbl 1433.92073 Daus, Esther S.; Jüngel, Ansgar; Tang, Bao Quoc 8 2020 Analysis of cross-diffusion systems for fluid mixtures driven by a pressure gradient. Zbl 1442.35188 Druet, Pierre-Etienne; Jüngel, Ansgar 7 2020 A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems. Zbl 1454.65090 Jüngel, Ansgar; Zurek, Antoine 4 2020 A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. Zbl 1452.65225 Bonizzoni, Francesca; Braukhoff, Marcel; Jüngel, Ansgar; Perugia, Ilaria 3 2020 Large-time asymptotics for a matrix spin drift-diffusion model. Zbl 1437.82021 Holzinger, Philipp; Jüngel, Ansgar 2 2020 Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion. Zbl 1439.35030 Jüngel, Ansgar; Leingang, Oliver; Wang, Shu 2 2020 Corrigendum to: “Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model”. Zbl 1441.35242 Braukhoff, Marcel; Chen, Xiuqing; Jüngel, Ansgar 1 2020 Rigorous mean-field limit and cross-diffusion. Zbl 1421.35376 Chen, Li; Daus, Esther S.; Jüngel, Ansgar 20 2019 Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. Zbl 1408.35070 Chen, Xiuqing; Jüngel, Ansgar 9 2019 Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. Zbl 1418.65157 Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar 9 2019 Global martingale solutions for a stochastic population cross-diffusion system. Zbl 1422.35186 Dhariwal, Gaurav; Jüngel, Ansgar; Zamponi, Nicola 8 2019 High-friction limits of Euler flows for multicomponent systems. Zbl 1418.35264 Huo, Xiaokai; Jüngel, Ansgar; Tzavaras, Athanasios E. 8 2019 Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems. Zbl 1415.35151 Jüngel, Ansgar; Leingang, Oliver 7 2019 Global renormalized solutions to reaction-cross-diffusion systems with self-diffusion. Zbl 1447.35182 Chen, Xiuqing; Jüngel, Ansgar 5 2019 Two structure-preserving time discretizations for gradient flows. Zbl 1427.65407 Jüngel, Ansgar; Stefanelli, Ulisse; Trussardi, Lara 3 2019 Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport. Zbl 1438.65205 Gerstenmayer, Anita; Jüngel, Ansgar 3 2019 Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations. Zbl 1423.60119 Carrillo, José A.; Jüngel, Ansgar; Santos, Matheus C. 1 2019 Homogenization of degenerate cross-diffusion systems. Zbl 1435.35037 Jüngel, Ansgar; Ptashnyk, Mariya 1 2019 Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method. Zbl 1404.35475 Achleitner, Franz; Jüngel, Ansgar; Yamamoto, Masakazu 1 2019 Blow-up of solutions to semi-discrete parabolic-elliptic Keller-Segel models. Zbl 1432.35030 Jüngel, Ansgar; Leingang, Oliver 1 2019 Global existence analysis of cross-diffusion population systems for multiple species. Zbl 1384.35135 Chen, Xiuqing; Daus, Esther S.; Jüngel, Ansgar 34 2018 A note on the uniqueness of weak solutions to a class of cross-diffusion systems. Zbl 1396.35027 Chen, Xiuqing; Jüngel, Ansgar 12 2018 Analysis of a degenerate parabolic cross-diffusion system for ion transport. Zbl 1516.35185 Gerstenmayer, Anita; Jüngel, Ansgar 9 2018 Existence analysis of a single-phase flow mixture with van der Waals pressure. Zbl 1397.35123 Jüngel, Ansgar; Mikyška, Jiří; Zamponi, Nicola 5 2018 Energy-transport systems for optical lattices: derivation, analysis, simulation. Zbl 1387.35369 Braukhoff, Marcel; Jüngel, Ansgar 3 2018 Analysis of degenerate cross-diffusion population models with volume filling. Zbl 1386.35167 Zamponi, Nicola; Jüngel, Ansgar 30 2017 Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations. Zbl 1375.65073 Jüngel, Ansgar; Schuchnigg, Stefan 10 2017 A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162 Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara 8 2017 Discrete Beckner inequalities via the Bochner-Bakry-Emery approach for Markov chains. Zbl 1374.60144 Jüngel, Ansgar; Yue, Wen 7 2017 Corrigendum to: “Analysis of degenerate cross-diffusion population models with volume filling”. Zbl 1417.35062 Zamponi, Nicola; Jüngel, Ansgar 6 2017 A cross-diffusion system derived from a Fokker-Planck equation with partial averaging. Zbl 1371.35145 Jüngel, Ansgar; Zamponi, Nicola 6 2017 A kinetic equation for economic value estimation with irrationality and herding. Zbl 1352.35089 Düring, Bertram; Jüngel, Ansgar; Trussardi, Lara 5 2017 Uniform \(L^\infty\) estimates for approximate solutions of the bipolar drift-diffusion system. Zbl 1375.82120 Bessemoulin-Chatard, M.; Chainais-Hillairet, C.; Jüngel, A. 3 2017 Entropy methods for diffusive partial differential equations. Zbl 1361.35002 Jüngel, Ansgar 91 2016 Hypocoercivity for a linearized multispecies Boltzmann system. Zbl 1350.35141 Daus, Esther S.; Jüngel, Ansgar; Mouhot, Clément; Zamponi, Nicola 19 2016 Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities. Zbl 1341.65034 Chainais-Hillairet, Claire; Jüngel, Ansgar; Schuchnigg, Stefan 15 2016 ViennaCL-linear algebra library for multi- and many-core architectures. Zbl 1349.65740 Rupp, Karl; Tillet, Philippe; Rudolf, Florian; Weinbub, Josef; Morhammer, Andreas; Grasser, Tibor; Jüngel, Ansgar; Selberherr, Siegfried 11 2016 Qualitative behavior of solutions to cross-diffusion systems from population dynamics. Zbl 1381.35078 Jüngel, Ansgar; Zamponi, Nicola 10 2016 Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system. Zbl 1375.35524 Zamponi, Nicola; Jüngel, Ansgar 7 2016 A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors. Zbl 1350.82009 Chainais-Hillairet, Claire; Jüngel, Ansgar; Shpartko, Polina 6 2016 Pipelined iterative solvers with kernel fusion for graphics processing units. Zbl 1369.65055 Rupp, Karl; Weinbub, Josef; Jüngel, Ansgar; Grasser, Tibor 4 2016 The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175 Jüngel, Ansgar 105 2015 Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system. Zbl 1331.35273 Chen, Xiuqing; Jüngel, Ansgar 31 2015 Global existence analysis for degenerate energy-transport models for semiconductors. Zbl 1357.35182 Zamponi, Nicola; Jüngel, Ansgar 9 2015 Bounded weak solutions to a matrix drift-diffusion model for spin-coherent electron transport in semiconductors. Zbl 1396.35029 Jüngel, Ansgar; Negulescu, Claudia; Shpartko, Polina 7 2015 Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations. Zbl 1332.65137 Jüngel, Ansgar; Milišić, Josipa-Pina 5 2015 A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. II: Finite-time blow-up. Zbl 1331.35163 Jüngel, Ansgar; Winkler, Michael 3 2015 A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. I: Local existence of solutions. Zbl 1317.35258 Jüngel, Ansgar; Winkler, Michael 3 2015 A note on Aubin-Lions-Dubinskiĭ lemmas. Zbl 1326.46019 Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo 45 2014 A finite volume scheme for a Keller-Segel model with additional cross-diffusion. Zbl 1309.92035 Bessemoulin-Chatard, Marianne; Jüngel, Ansgar 26 2014 An asymptotic limit of a Navier-Stokes system with capillary effects. Zbl 1297.35169 Jüngel, Ansgar; Lin, Chi-Kun; Wu, Kung-Chien 18 2014 Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163 Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar 9 2014 Perfectly matched layers versus discrete transparent boundary conditions in quantum device simulations. Zbl 1349.81033 Mennemann, Jan-Frederik; Jüngel, Ansgar 8 2014 On the Lagrangian structure of quantum fluid models. Zbl 1276.35130 Fuchs, Philipp; Jüngel, Ansgar; Von Renesse, Max 5 2014 Existence analysis of Maxwell-Stefan systems for multicomponent mixtures. Zbl 1276.35104 Jüngel, Ansgar; Stelzer, Ines Viktoria 47 2013 Blow-up in two-component nonlinear Schrödinger systems with an external driven field. Zbl 1286.35229 Jüngel, Ansgar; Weishäupl, Rada-Maria 15 2013 Existence analysis for a simplified transient energy-transport model for semiconductors. Zbl 1275.35124 Jüngel, Ansgar; Pinnau, René; Röhrig, Elisa 9 2013 A multidimensional nonlinear sixth-order quantum diffusion equation. Zbl 1288.35283 Bukal, Mario; Jüngel, Ansgar; Matthes, Daniel 9 2013 Two spinorial drift-diffusion models for quantum electron transport in graphene. Zbl 1282.35132 Jüngel, Ansgar; Zamponi, Nicola 6 2013 Flatness of semilinear parabolic PDEs – a generalized Cauchy-Kowalevski approach. Zbl 1369.93274 Schörkhuber, Birgit; Meurer, Thomas; Jüngel, Ansgar 3 2013 Compact families of piecewise constant functions in \(L^p (0,T;B)\). Zbl 1245.46017 Dreher, Michael; Jüngel, Ansgar 62 2012 Dissipative quantum fluid models. Zbl 1257.82085 Jüngel, Ansgar 24 2012 Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model. Zbl 1263.35131 Carrillo, José Antonio; Hittmeir, Sabine; Jüngel, Ansgar 20 2012 Entropy structure of a cross-diffusion tumor-growth model. Zbl 1241.35119 Jüngel, Ansgar; Stelzer, Ines Viktoria 11 2012 Quantum Navier-Stokes equations. Zbl 1246.82079 Jüngel, Ansgar; Milišić, Josipa-Pina 5 2012 Deterministic numerical solution of the Boltzmann transport equation. Zbl 1246.82094 Rupp, Karl; Grasser, Tibor; Jüngel, Ansgar 1 2012 Lyapunov functionals, weak sequential stability, and uniqueness analysis for energy-transport systems. Zbl 1304.35019 Jüngel, Ansgar; Kristöfel, Peter 1 2012 Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model. Zbl 1259.35114 Hittmeir, Sabine; Jüngel, Ansgar 43 2011 Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution. Zbl 1231.35148 Jüngel, Ansgar; Milišić, Josipa-Pina 20 2011 Effective velocity in compressible Navier-Stokes equations with third-order derivatives. Zbl 1211.35217 Jüngel, Ansgar 11 2011 Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302 Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe 9 2011 A new derivation of the quantum Navier-Stokes equations in the Wigner-Fokker-Planck approach. Zbl 1238.82024 Jüngel, Ansgar; López, José Luis; Montejo-Gámez, Jesús 8 2011 Diffusive semiconductor moment equations using Fermi-Dirac statistics. Zbl 1276.82063 Jüngel, Ansgar; Krause, Stefan; Pietra, Paola 5 2011 A finite-volume scheme for the multidimensional quantum drift-diffusion model for semiconductors. Zbl 1251.82055 Chainais-Hillairet, Claire; Gisclon, Marguerite; Jüngel, Ansgar 4 2011 Entropies for radially symmetric higher-order nonlinear diffusion equations. Zbl 1221.35077 Bukal, Mario; Jungel, Ansgar; Matthes, Daniel 3 2011 A simplified quantum energy-transport model for semiconductors. Zbl 1206.35152 Jüngel, Ansgar; Milišić, Josipa-Pina 1 2011 Analysis of a bipolar energy-transport model for a metal-oxide-semiconductor diode. Zbl 1228.35084 Jüngel, Ansgar; Pinnau, René; Röhrig, Elisa 1 2011 Semiclassical limit in a simplified quantum energy-transport model for semiconductors. Zbl 1246.35025 Chen, Li; Chen, Xiu-Qing; Jüngel, Ansgar 1 2011 Global weak solutions to compressible Navier-Stokes equations for quantum fluids. Zbl 1228.35083 Jüngel, Ansgar 97 2010 Diffusive and nondiffusive population models. Zbl 1398.92205 Jüngel, Ansgar 27 2010 The zero-electron-mass limit in the hydrodynamic model for plasmas. Zbl 1189.35019 Alì, Giuseppe; Chen, Li; Jüngel, Ansgar; Peng, Yue-Jun 18 2010 Energy transport in semiconductor devices. Zbl 1298.35106 Jüngel, Ansgar 7 2010 Matrix compression for spherical harmonics expansions of the Boltzmann transport equation for semiconductors. Zbl 1204.82039 Rupp, Karl; Jüngel, Ansgar; Grasser, T. 2 2010 ...and 93 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,659 Authors 116 Jüngel, Ansgar 42 Li, Yeping 30 Wang, Shu 29 Carrillo de la Plata, José Antonio 28 Chen, Li 26 Dolbeault, Jean 23 Zamponi, Nicola 21 Chainais-Hillairet, Claire 21 Zhang, Kaijun 19 Chen, Xiuqing 19 Peng, Yuejun 19 Yang, Jianwei 18 Mei, Ming 15 Antonelli, Paolo 15 Daus, Esther S. 15 Pinnau, René 14 Ju, Qiangchang 13 Burger, Martin 13 Galiano Casas, Gonzalo 13 Guo, Boling 13 Winkler, Michael 13 Zhang, Guojing 12 Ogawa, Takayoshi 12 Toscani, Giuseppe 11 Cancès, Clément 11 Marcati, Pierangelo 11 Salvarani, Francesco 10 Druet, Pierre-Étienne 10 Hsiao, Ling 10 Li, Hailiang 10 Liu, Jianguo 10 Markowich, Peter Alexander 10 Matthes, Daniel 10 Pietschmann, Jan-Frederik 9 Barletti, Luigi 9 Desvillettes, Laurent 9 Dong, Jianwei 9 Düring, Bertram 9 Fellner, Klemens 9 Feng, Yuehong 9 Lacroix-Violet, Ingrid 9 Li, Fucai 9 Romano, Vittorio 9 Tang, Tong 9 Vazquez, Juan Luis 9 Wang, Zhian 9 Xu, Jiang 9 Zatorska, Ewelina 8 Bendahmane, Mostafa 8 Braukhoff, Marcel 8 Briant, Marc 8 Company, Rafael 8 Dreher, Michael 8 Liu, Chun 8 Liu, Hailiang 8 López, José Luis 8 Perthame, Benoît 8 Schmeiser, Christian 8 Tao, Youshan 8 Wolfram, Marie-Therese 8 Xu, Xiangsheng 7 Belopol’skaya, Yana Isaevna 7 Bessemoulin-Chatard, Marianne 7 Bresch, Didier 7 Fischer, Julian 7 Fu, Shengmao 7 Goudon, Thierry 7 Gualdani, Maria Pia 7 Guillén González, Francisco M. 7 Jódar Sanchez, Lucas Antonio 7 Kühn, Christian 7 Li, Yong 7 McCann, Robert J. 7 Méhats, Florian 7 Pu, Xueke 7 Rueda-Gómez, Diego Armando 7 Tan, Zhong 7 Tang, Bao Quoc 7 Vasseur, Alexis F. 7 Wang, Guangwu 6 Alì, Giuseppe 6 Bonforte, Matteo 6 Bothe, Dieter 6 Degond, Pierre 6 Di Francesco, Marco 6 Di Michele, Federica 6 Donatelli, Donatella 6 Grec, Bérénice 6 Harfash, Akil Jassim 6 Herda, Maxime 6 Huo, Xiaokai 6 Jin, Haiyang 6 Laurençot, Philippe 6 Li, Yue 6 Pinaud, Olivier 6 Rodríguez-Bellido, Maria Angeles 6 Rubino, Bruno 6 Spirito, Stefano 6 Suzuki, Masahiro 6 Vorotnikov, Dmitry A. ...and 1,559 more Authors all top 5 Cited in 255 Serials 103 Journal of Differential Equations 70 Journal of Mathematical Analysis and Applications 55 M\(^3\)AS. 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Mathematics 5 SIAM Journal on Applied Mathematics 5 Mathematical Problems in Engineering 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Boundary Value Problems 5 Mathematics in Engineering 4 Mathematics of Computation 4 Applied Mathematics and Optimization 4 Monatshefte für Mathematik 4 Studies in Applied Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 International Journal of Computer Mathematics 4 Advances in Computational Mathematics 4 Discrete Dynamics in Nature and Society 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Acta Mathematica Sinica. 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Série VI 3 Bulletin des Sciences Mathématiques 3 Mathematics and Mechanics of Solids 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 ...and 155 more Serials all top 5 Cited in 43 Fields 1,221 Partial differential equations (35-XX) 413 Fluid mechanics (76-XX) 367 Statistical mechanics, structure of matter (82-XX) 319 Numerical analysis (65-XX) 260 Biology and other natural sciences (92-XX) 80 Optics, electromagnetic theory (78-XX) 76 Probability theory and stochastic processes (60-XX) 74 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 52 Quantum theory (81-XX) 36 Dynamical systems and ergodic theory (37-XX) 36 Classical thermodynamics, heat transfer (80-XX) 35 Functional analysis (46-XX) 34 Operator theory (47-XX) 29 Ordinary differential equations (34-XX) 28 Mechanics of deformable solids (74-XX) 24 Real functions (26-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Systems theory; control (93-XX) 15 Integral equations (45-XX) 15 Information and communication theory, circuits (94-XX) 8 Difference and functional equations (39-XX) 8 Mechanics of particles and systems (70-XX) 7 Differential geometry (53-XX) 6 Computer science (68-XX) 6 Astronomy and astrophysics (85-XX) 5 Measure and integration (28-XX) 4 General and overarching topics; collections (00-XX) 4 Statistics (62-XX) 4 Geophysics (86-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Relativity and gravitational theory (83-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 Potential theory (31-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-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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