Edit Profile (opens in new tab) Stuart, David M. A. Compute Distance To: Compute Author ID: stuart.david-m-a Published as: Stuart, David M. A.; Stuart, David; Stuart, David M.; Stuart, D. M. A.; Stuart, D. Documents Indexed: 32 Publications since 1991 Co-Authors: 8 Co-Authors with 12 Joint Publications 191 Co-Co-Authors all top 5 Co-Authors 19 single-authored 7 Demoulini, Sophia 3 Tzavaras, Athanasios E. 2 Komech, Alexander Ilich 2 Kopylova, Elena A. 1 Buslaev, Vladimir Savel’evich 1 Comech, Andrew 1 Kunze, Markus 1 Long, Eamonn 1 Perlis, Robert all top 5 Serials 4 Communications in Mathematical Physics 3 Communications in Partial Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Letters in Mathematical Physics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 2 Communications on Pure and Applied Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Number Theory 1 Studies in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Geometric and Functional Analysis. GAFA 1 SIAM Journal on Mathematical Analysis 1 Communications in Analysis and Geometry 1 Electronic Research Announcements of the American Mathematical Society 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 24 Partial differential equations (35-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Quantum theory (81-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 266 times in 133 Documents Cited by ▼ Year ▼ Dynamics of Abelian Higgs vortices in the near Bogomolny regime. Zbl 0807.35141Stuart, D. 44 1994 Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics. Zbl 1282.74032Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 35 2012 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 26 2008 A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy. Zbl 0985.74024Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 22 2001 The geodesic approximation for the Yang-Mills-Higgs equations. Zbl 0814.53052Stuart, D. 19 1994 On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352Komech, Alexander; Kopylova, Elena; Stuart, David 14 2012 Modulational approach to stability of non-topological solitons in semilinear wave equations. Zbl 1158.35389Stuart, David M. A. 12 2001 Gradient flow of the superconducting Ginzburg-Landau functional on the plane. Zbl 0894.35107Demoulini, Sophia; Stuart, David 11 1997 A new characterization of arithmetic equivalence. Zbl 0863.11082Stuart, D.; Perlis, R. 10 1995 Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system. Zbl 1185.81071Demoulini, Sophia; Stuart, David 9 2009 Effective dynamics for solitons in the nonlinear Klein-Gordon-Maxwell system and the Lorentz force law. Zbl 1178.35322Long, Eamonn; Stuart, David 7 2009 Periodic solutions of the Abelian Higgs model and rigid rotation of vortices. Zbl 0998.35053Stuart, D. M. A. 7 1999 Analysis of the adiabatic limit for solitons in classical field theory. Zbl 1130.70013Stuart, David M. A. 7 2007 Perturbation theory for kinks. Zbl 0756.35084Stuart, David M. A. 6 1992 The geodesic hypothesis and non-topological solitons on pseudo-Riemannian manifolds. Zbl 1054.58026Stuart, David M. A. 6 2004 Geodesics and the Einstein nonlinear wave system. Zbl 1072.58021Stuart, David M. A. 6 2004 Existence and Newtonian limit of nonlinear bound states in the Einstein-Dirac system. Zbl 1309.83036Stuart, David 5 2010 Construction of entropy solutions for one-dimensional elastodynamics via time discretisation. Zbl 0988.74031Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 4 2000 Solitons on pseudo-Riemannian manifolds: Stability and motion. Zbl 0959.58038Stuart, David M. A. 3 2000 Geodesics and the Einstein-nonlinear wave system. Zbl 1038.35139Stuart, David M. A. 3 2003 Solitons on pseudo-Riemannian manifolds. I: The sine-Gordon equation. Zbl 0935.35143Stuart, David M. 3 1998 Small amplitude solitary waves in the Dirac-Maxwell system. Zbl 1394.35109Comech, Andrew; Stuart, David 2 2018 Particles in a singular asymptotic limit of a classical field theory. Zbl 0754.35131Stuart, David M. 1 1992 Existence and regularity for generalised harmonic maps associated to a nonlocal polyconvex energy of Skyrme type. Zbl 1210.35075Demoulini, Sophia; Stuart, David M. A. 1 2007 Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component. Zbl 1305.37029Kunze, Markus; Stuart, David M. A. 1 2014 Variational approach to uniform rigid rotation of Ginzburg-Landau vortices. Zbl 0979.58006Demoulini, Sophia; Stuart, David M. A. 1 2000 Semilinear wave equations on pseudo-Riemannian manifolds: Stability and motion of non-topological solitons. Zbl 0968.35079Stuart, David M. A. 1 2000 Small amplitude solitary waves in the Dirac-Maxwell system. Zbl 1394.35109Comech, Andrew; Stuart, David 2 2018 Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component. Zbl 1305.37029Kunze, Markus; Stuart, David M. A. 1 2014 Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics. Zbl 1282.74032Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 35 2012 On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352Komech, Alexander; Kopylova, Elena; Stuart, David 14 2012 Existence and Newtonian limit of nonlinear bound states in the Einstein-Dirac system. Zbl 1309.83036Stuart, David 5 2010 Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system. Zbl 1185.81071Demoulini, Sophia; Stuart, David 9 2009 Effective dynamics for solitons in the nonlinear Klein-Gordon-Maxwell system and the Lorentz force law. Zbl 1178.35322Long, Eamonn; Stuart, David 7 2009 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 26 2008 Analysis of the adiabatic limit for solitons in classical field theory. Zbl 1130.70013Stuart, David M. A. 7 2007 Existence and regularity for generalised harmonic maps associated to a nonlocal polyconvex energy of Skyrme type. Zbl 1210.35075Demoulini, Sophia; Stuart, David M. A. 1 2007 The geodesic hypothesis and non-topological solitons on pseudo-Riemannian manifolds. Zbl 1054.58026Stuart, David M. A. 6 2004 Geodesics and the Einstein nonlinear wave system. Zbl 1072.58021Stuart, David M. A. 6 2004 Geodesics and the Einstein-nonlinear wave system. Zbl 1038.35139Stuart, David M. A. 3 2003 A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy. Zbl 0985.74024Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 22 2001 Modulational approach to stability of non-topological solitons in semilinear wave equations. Zbl 1158.35389Stuart, David M. A. 12 2001 Construction of entropy solutions for one-dimensional elastodynamics via time discretisation. Zbl 0988.74031Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E. 4 2000 Solitons on pseudo-Riemannian manifolds: Stability and motion. Zbl 0959.58038Stuart, David M. A. 3 2000 Variational approach to uniform rigid rotation of Ginzburg-Landau vortices. Zbl 0979.58006Demoulini, Sophia; Stuart, David M. A. 1 2000 Semilinear wave equations on pseudo-Riemannian manifolds: Stability and motion of non-topological solitons. Zbl 0968.35079Stuart, David M. A. 1 2000 Periodic solutions of the Abelian Higgs model and rigid rotation of vortices. Zbl 0998.35053Stuart, D. M. A. 7 1999 Solitons on pseudo-Riemannian manifolds. I: The sine-Gordon equation. Zbl 0935.35143Stuart, David M. 3 1998 Gradient flow of the superconducting Ginzburg-Landau functional on the plane. Zbl 0894.35107Demoulini, Sophia; Stuart, David 11 1997 A new characterization of arithmetic equivalence. Zbl 0863.11082Stuart, D.; Perlis, R. 10 1995 Dynamics of Abelian Higgs vortices in the near Bogomolny regime. Zbl 0807.35141Stuart, D. 44 1994 The geodesic approximation for the Yang-Mills-Higgs equations. Zbl 0814.53052Stuart, D. 19 1994 Perturbation theory for kinks. Zbl 0756.35084Stuart, David M. A. 6 1992 Particles in a singular asymptotic limit of a classical field theory. Zbl 0754.35131Stuart, David M. 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 168 Authors 12 Stuart, David M. A. 10 Kopylova, Elena A. 7 Komech, Alexander Ilich 7 Tzavaras, Athanasios E. 6 Gwiazda, Piotr 5 Demoulini, Sophia 5 Świerczewska-Gwiazda, Agnieszka 4 Brenier, Yann 4 Christoforou, Cleopatra C. 4 Cuccagna, Scipio 4 Fjordholm, Ulrik Skre 4 Gustafson, Stephen J. 4 Mishra, Siddhartha 3 Adami, Riccardo 3 Comech, Andrew 3 Feireisl, Eduard 3 Mashkin, Timur 3 Nečasová, Šárka 3 Noja, Diego 3 Romão, Nuno M. 3 Sigal, Israel Michael 3 Tang, Tong 3 Wiedemann, Emil 2 Babin, Anatoli V. 2 Caggio, Matteo 2 Dębiec, Tomasz 2 Després, Bruno 2 Duan, Xianglong 2 Figotin, Alexander 2 Galanopoulou, Myrto 2 Huh, Hyungjin 2 Jerrard, Robert Leon 2 Kreml, Ondřej 2 Long, Eamonn 2 Maeda, Masaya 2 Merzon, Anatolĭ E. 2 Ortoleva, Cecilia 2 Radkevich, Evgeniĭ Vladimirovich 2 Roubíček, Tomáš 2 Sedjro, Marc 2 Seraj, Ali 2 Speight, James Martin 2 Tadmor, Eitan 2 Ting, Fan 2 Van den Bleeken, Dieter 2 Wei, Juncheng 2 Weinstein, Michael I. 2 Westdickenberg, Michael 2 Zhang, Jingxuan 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bardos, Claude Williams 1 Bellazzini, Jacopo 1 Betsch, Peter 1 Boussaid, Nabile 1 Březina, Jan 1 Budylin, A. M. 1 Burtscher, Annegret Y. 1 Buslaev, Vladimir Savel’evich 1 Cacciapuoti, Claudio 1 Cavalletti, Fabio 1 Chen, Xiuqing 1 Cockburn, Alexander 1 Cong, Fuzhong 1 Czubak, Magdalena 1 Dmitrieva, L. A. 1 Doumic, Marie 1 Ducomet, Bernard 1 Eriksson, Dennis 1 Finco, Domenico 1 Finster, Felix 1 Fischer, Julian 1 Fröhlich, Jürg Martin 1 Fukaya, Noriyoshi 1 Fukuizumi, Reika 1 Galvão-Sousa, Bernardo 1 Gangbo, Wilfrid 1 Georgiev, Vladimir S. 1 Ghimenti, Marco G. 1 Ghoshal, Shyam Sundar 1 Giesselmann, Jan 1 Gkanis, Ioannis 1 Gomes, Diogo Luís Aguiar 1 Goodman, Roy H. 1 Hainzl, Christian 1 Henrion, Didier 1 Hensel, Sebastian C. 1 Hesch, Christian 1 Holmer, Justin 1 Holmes, Philip J. 1 Hong, Jialin 1 Ikeda, Masahiro 1 Imaykin, V. M. 1 Jana, Animesh 1 Janz, Alexander 1 Jeong, Wonjeong 1 Jonsson, B. Lars G. 1 Jüngel, Ansgar 1 Käppeli, Roger 1 Kiessling, Michael Karl-Heinz 1 Kim, Seonghak ...and 68 more Authors all top 5 Cited in 63 Serials 11 Archive for Rational Mechanics and Analysis 11 Communications in Mathematical Physics 6 Journal of Mathematical Physics 5 Journal of Mathematical Analysis and Applications 5 Communications in Partial Differential Equations 5 Calculus of Variations and Partial Differential Equations 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 SIAM Journal on Mathematical Analysis 3 Letters in Mathematical Physics 3 Russian Mathematical Surveys 3 Transactions of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Discrete and Continuous Dynamical Systems 3 Communications on Pure and Applied Analysis 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Reviews in Mathematical Physics 2 Journal of Differential Equations 2 Quarterly of Applied Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Journal of Mathematical Fluid Mechanics 2 Journal of High Energy Physics 2 Foundations of Computational Mathematics 2 Journal of Hyperbolic Differential Equations 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Séminaire Laurent Schwartz. EDP et Applications 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Physica D 1 Topological Methods in Nonlinear Analysis 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Living Reviews in Relativity 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Numerica 1 Proceedings of the Steklov Institute of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Control and Related Fields 1 Journal of Elliptic and Parabolic Equations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 30 Fields 115 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 21 Quantum theory (81-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Mechanics of deformable solids (74-XX) 11 Relativity and gravitational theory (83-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Optics, electromagnetic theory (78-XX) 7 Numerical analysis (65-XX) 6 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year