Gradient flow of the superconducting Ginzburg-Landau functional on the plane

DOI10.4310/CAG.1997.v5.n1.a3zbMath0894.35107OpenAlexW1512007332MaRDI QIDQ1366526

Sophia Demoulini, David M. A. Stuart

Publication date: 10 September 1997

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.1997.v5.n1.a3

zbMATH Keywords

winding numberadiabatic approximationspatial exponential decayglobal smooth solutionsstability of vortices

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (11)

Dynamic stability and instability of pinned fundamental vortices ⋮ Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations ⋮ Convergence of the self-dual Ginzburg-Landau gradient flow ⋮ Local uniqueness of the magnetic Ginzburg-Landau equation ⋮ Statics and dynamics of magnetic vortices and of Nielsen–Olesen (Nambu) strings ⋮ Global solutions to time-dependent Ginzburg-Landau-Chern-Simons equations ⋮ Multi-vortex solutions to Ginzburg-Landau equations with external potential ⋮ Analysis of the adiabatic limit for solitons in classical field theory ⋮ Global existence for a nonlinear Schrödinger-Chern-Simons system on a surface ⋮ Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system ⋮ Effective dynamics of magnetic vortices

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