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Department of Applied Mathematics and Theoretical Physics

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

Variational approach to uniform rigid rotation of Ginzburg-Landau vortices
S Demoulini, DMA Stuart
– Letters in Mathematical Physics
(2000)
52,
127
Construction of entropy solutions for one dimensional elastodynamics via time discretisation
S Demoulini, DMA Stuart, AE Tzavaras
– Annales de l'Institut Henri Poincaré C, Analyse non linéaire
(2000)
17,
711
Semilinear wave equations on pseudo-Riemannian manifolds: stability and motion of non-topological solitons
DMA Stuart
(2000)
351
Periodic solutions of the Abelian Higgs model and rigid rotation of vortices
DMA Stuart
– Geometric and Functional Analysis
(1999)
9,
568
Uniform stability of monopoles
D Stuart
– Calculus of Variations and Partial Differential Equations
(1999)
8,
123
Gradient Flow of the Superconducting Ginzburg-Landau Functional on the plane
S Demoulini, D Stuart
– Communications in Analysis and Geometry
(1997)
5,
121
Minimal periods for solutions of some classical field equations
D Stuart
– SIAM Journal on Mathematical Analysis
(1996)
27,
1095
Interaction of superconducting vortices and asymptotics of the Ginzburg-Landau flow
D Stuart
– Applied Mathematics Letters
(1996)
9,
27
The geodesic approximation for the Yang-Mills-Higgs equations
D STUART
– Communications in Mathematical Physics
(1994)
166,
149
Dynamics of Abelian Higgs vortices in the near Bogomolny regime
D STUART
– Communications in Mathematical Physics
(1994)
159,
51
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Research Group

High Energy Physics

Room

B2.22

Telephone

01223 337849