Hölder convergence of Ginzburg-Landau approximations to the harmonic map heat flow

Nonlinear Analysis, Theory, Methods and Applications

Volumn 46, Issue 6, 2001, Pages 807-816

  Ding, Shijin ^a   Liu, Zuhan ^b  

^a SOUTH CHINA NORMAL UNIVERSITY   (China)

^b YANGZHOU UNIVERSITY   (China)

Author keywords

Asymptotic behavior; Evolutionary Ginzburg Landau equations; Harmonic map heat flow; Vortices

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; HARMONIC ANALYSIS; HEAT TRANSFER; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; SUPERCONDUCTIVITY; THEOREM PROVING;

GINZBURG-LANDAU EQUATIONS;

APPROXIMATION THEORY;

EID: 0035501575     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00148-6     Document Type: Article

References (12)

1. Asymptotics for the minimization of a Ginzburg-Landau functional
2. Partial regularity for weak heat flows into spheres
3. Evolution of harmonic maps with Dirichlet boundary conditions
4. Existence and partial regularity results for the heat flow of harmonic maps
5. Analysis and approximation of the Ginzburg-Landau models of superconductivity
6. Harmonic mappings of Riemannian manifolds
7. Uniqueness for the harmonic map flow in two dimensions
8. Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
9. Some dynamical properties of Ginzburg-Landau vortices
10. On the evolution of harmonic maps of Riemannian surfaces
11. On the evolution of harmonic maps in higher dimensions