Career
- 1990-1991 Post-doctoral researcher at MSRI, Berkeley, California.
- 1991-1997 Assistant Professor, University of California at Davis.
- 1997-1999 Associate Professor, University of California at Davis.
- 1999-2005 Lecturer in University of Cambridge
- 1999-present Fellow of St John's College Cambridge
- 2005-present Reader in University of Cambridge
Research
David Stuart's esearch is mainly directed towards the mathematical analysis
of solitons in nonlinear classical field theories (such as
Yang-Mills and Einstein equations), and related problems
in nonlinear analysis.
Selected Publications
- Buslaev, V. S. ; Komech, A. I. ; Kopylova, E. A. ; Stuart, D. On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Comm. Partial Differential Equations 33 (2008), no. 4-6, 669--705.
- Stuart, David M. A. Analysis of the adiabatic limit for solitons in classical field theory. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 463 (2007), no. 2087, 2753--2781.
- Demoulini, Sophia ; Stuart, David M. A. Existence and regularity for generalised harmonic maps associated to a nonlocal polyconvex energy of Skyrme type. Calc. Var. Partial Differential Equations 30 (2007), no. 4, 523--546.
- Stuart, David M. A. The geodesic hypothesis and non-topological solitons on pseudo-Riemannian manifolds. Ann. Sci. École Norm. Sup. (4) 37 (2004), no. 2, 312--362.
- Stuart, David M. A. Geodesics and the Einstein nonlinear wave system. J. Math. Pures Appl. (9) 83 (2004), no. 5, 541--587.
- Demoulini, Sophia ; Stuart, David M. A. ; Tzavaras, Athanasios E. A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy. Arch. Ration. Mech. Anal. 157 (2001), no. 4, 325--344.
- Stuart, David M. A. Modulational approach to stability of non-topological solitons in semilinear wave equations. J. Math. Pures Appl. (9) 80 (2001), no. 1, 51--83.
Publications
Small amplitude solitary waves in the Dirac-Maxwell system
– Communications on Pure and Applied Analysis
(2018)
17,
1349
(DOI: 10.3934/cpaa.2018066)
Particles in a Singular Asymptotic Limit of a Classical Field Theory
– Studies in Applied Mathematics
(2015)
87,
239
(DOI: 10.1002/sapm1992873239)
The Schwinger Model on S1: Hamiltonian Formulation, Vacuum and Anomaly
– Letters in Mathematical Physics
(2014)
104,
1469
(DOI: 10.1007/s11005-014-0722-1)
Weak-Strong Uniqueness of Dissipative Measure-Valued Solutions for Polyconvex Elastodynamics
– Archive for Rational Mechanics and Analysis
(2012)
205,
927
(DOI: 10.1007/s00205-012-0523-6)
On asymptotic stability of solitons in a nonlinear schrödinger equation
– Communications on Pure and Applied Analysis
(2011)
11,
1063
(DOI: 10.3934/cpaa.2012.11.1063)
Effective dynamics for solitons in the nonlinear kleingordonmaxwell system and the lorentz force law
– Reviews in Mathematical Physics
(2011)
21,
459
(DOI: 10.1142/s0129055x09003669)
Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component
– Journal of Mathematical Analysis and Applications
(2011)
419,
1351
(DOI: 10.1016/j.jmaa.2014.05.035)
A Particle-field theory in the form of a hyperbolic free boundary problem
– Communications in Partial Differential Equations
(2010)
16,
705
(DOI: 10.1080/03605309108820775)
Existence and Newtonian limit of nonlinear bound states in the Einstein–Dirac system
– Journal of Mathematical Physics
(2010)
51,
032501
(DOI: 10.1063/1.3294085)
Adiabatic Limit and the Slow Motion of Vortices in a Chern-Simons-Schrodinger System
– Communications in Mathematical Physics
(2009)
290,
597
(DOI: 10.1007/s00220-009-0844-y)
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