## Stuart, David M. A.

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 0807.35141
Stuart, D.
1994
Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics. Zbl 1282.74032
Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E.
2012
On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D.
2008
A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy. Zbl 0985.74024
Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E.
2001
The geodesic approximation for the Yang-Mills-Higgs equations. Zbl 0814.53052
Stuart, D.
1994
On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352
Komech, Alexander; Kopylova, Elena; Stuart, David
2012
Modulational approach to stability of non-topological solitons in semilinear wave equations. Zbl 1158.35389
Stuart, David M. A.
2001
Gradient flow of the superconducting Ginzburg-Landau functional on the plane. Zbl 0894.35107
Demoulini, Sophia; Stuart, David
1997
A new characterization of arithmetic equivalence. Zbl 0863.11082
Stuart, D.; Perlis, R.
1995
Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system. Zbl 1185.81071
Demoulini, Sophia; Stuart, David
2009
Effective dynamics for solitons in the nonlinear Klein-Gordon-Maxwell system and the Lorentz force law. Zbl 1178.35322
Long, Eamonn; Stuart, David
2009
Periodic solutions of the Abelian Higgs model and rigid rotation of vortices. Zbl 0998.35053
Stuart, D. M. A.
1999
Analysis of the adiabatic limit for solitons in classical field theory. Zbl 1130.70013
Stuart, David M. A.
2007
Perturbation theory for kinks. Zbl 0756.35084
Stuart, David M. A.
1992
The geodesic hypothesis and non-topological solitons on pseudo-Riemannian manifolds. Zbl 1054.58026
Stuart, David M. A.
2004
Geodesics and the Einstein nonlinear wave system. Zbl 1072.58021
Stuart, David M. A.
2004
Existence and Newtonian limit of nonlinear bound states in the Einstein-Dirac system. Zbl 1309.83036
Stuart, David
2010
Construction of entropy solutions for one-dimensional elastodynamics via time discretisation. Zbl 0988.74031
Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E.
2000
Solitons on pseudo-Riemannian manifolds: Stability and motion. Zbl 0959.58038
Stuart, David M. A.
2000
Geodesics and the Einstein-nonlinear wave system. Zbl 1038.35139
Stuart, David M. A.
2003
Solitons on pseudo-Riemannian manifolds. I: The sine-Gordon equation. Zbl 0935.35143
Stuart, David M.
1998
Small amplitude solitary waves in the Dirac-Maxwell system. Zbl 1394.35109
Comech, Andrew; Stuart, David
2018
Particles in a singular asymptotic limit of a classical field theory. Zbl 0754.35131
Stuart, David M.
1992
Existence and regularity for generalised harmonic maps associated to a nonlocal polyconvex energy of Skyrme type. Zbl 1210.35075
Demoulini, Sophia; Stuart, David M. A.
2007
Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component. Zbl 1305.37029
Kunze, Markus; Stuart, David M. A.
2014
Variational approach to uniform rigid rotation of Ginzburg-Landau vortices. Zbl 0979.58006
Demoulini, Sophia; Stuart, David M. A.
2000
Semilinear wave equations on pseudo-Riemannian manifolds: Stability and motion of non-topological solitons. Zbl 0968.35079
Stuart, David M. A.
2000
Small amplitude solitary waves in the Dirac-Maxwell system. Zbl 1394.35109
Comech, Andrew; Stuart, David
2018
Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component. Zbl 1305.37029
Kunze, Markus; Stuart, David M. A.
2014
Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics. Zbl 1282.74032
Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E.
2012
On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352
Komech, Alexander; Kopylova, Elena; Stuart, David
2012
Existence and Newtonian limit of nonlinear bound states in the Einstein-Dirac system. Zbl 1309.83036
Stuart, David
2010
Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system. Zbl 1185.81071
Demoulini, Sophia; Stuart, David
2009
Effective dynamics for solitons in the nonlinear Klein-Gordon-Maxwell system and the Lorentz force law. Zbl 1178.35322
Long, Eamonn; Stuart, David
2009
On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D.
2008
Analysis of the adiabatic limit for solitons in classical field theory. Zbl 1130.70013
Stuart, David M. A.
2007
Existence and regularity for generalised harmonic maps associated to a nonlocal polyconvex energy of Skyrme type. Zbl 1210.35075
Demoulini, Sophia; Stuart, David M. A.
2007
The geodesic hypothesis and non-topological solitons on pseudo-Riemannian manifolds. Zbl 1054.58026
Stuart, David M. A.
2004
Geodesics and the Einstein nonlinear wave system. Zbl 1072.58021
Stuart, David M. A.
2004
Geodesics and the Einstein-nonlinear wave system. Zbl 1038.35139
Stuart, David M. A.
2003
A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy. Zbl 0985.74024
Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E.
2001
Modulational approach to stability of non-topological solitons in semilinear wave equations. Zbl 1158.35389
Stuart, David M. A.
2001
Construction of entropy solutions for one-dimensional elastodynamics via time discretisation. Zbl 0988.74031
Demoulini, Sophia; Stuart, David M. A.; Tzavaras, Athanasios E.
2000
Solitons on pseudo-Riemannian manifolds: Stability and motion. Zbl 0959.58038
Stuart, David M. A.
2000
Variational approach to uniform rigid rotation of Ginzburg-Landau vortices. Zbl 0979.58006
Demoulini, Sophia; Stuart, David M. A.
2000
Semilinear wave equations on pseudo-Riemannian manifolds: Stability and motion of non-topological solitons. Zbl 0968.35079
Stuart, David M. A.
2000
Periodic solutions of the Abelian Higgs model and rigid rotation of vortices. Zbl 0998.35053
Stuart, D. M. A.
1999
Solitons on pseudo-Riemannian manifolds. I: The sine-Gordon equation. Zbl 0935.35143
Stuart, David M.
1998
Gradient flow of the superconducting Ginzburg-Landau functional on the plane. Zbl 0894.35107
Demoulini, Sophia; Stuart, David
1997
A new characterization of arithmetic equivalence. Zbl 0863.11082
Stuart, D.; Perlis, R.
1995
Dynamics of Abelian Higgs vortices in the near Bogomolny regime. Zbl 0807.35141
Stuart, D.
1994
The geodesic approximation for the Yang-Mills-Higgs equations. Zbl 0814.53052
Stuart, D.
1994
Perturbation theory for kinks. Zbl 0756.35084
Stuart, David M. A.
1992
Particles in a singular asymptotic limit of a classical field theory. Zbl 0754.35131
Stuart, David M.
1992
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### 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
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### 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
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### 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)