Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex

DOI10.1088/0951-7715/10/3/005zbMath0909.35064OpenAlexW1996326146MaRDI QIDQ3841177

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Publication date: 17 March 1999

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/376d65f2f60d6e3bc0d3e9e3835769aade1b7f9d

zbMATH Keywords

travelling wavemean-field modellongtime asymptoticsforced curvature flowgraph like initial dataselfsimilar profilesuperconducting vortex

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Statistical mechanics of superconductors (82D55) Free boundary problems for PDEs (35R35) Curves in Euclidean and related spaces (53A04)

Related Items (10)

Instability of a superconducting line vortex ⋮ Some results on curves in the plane with log-linear density ⋮ Traveling Curved Waves in Two-Dimensional Excitable Media ⋮ The centro-affine invariant geometric heat flow ⋮ Long-time behaviour of solutions of a class of nonlinear parabolic equations ⋮ Robust control problems of vortex dynamics in superconducting films with Ginzburg-Landau complex systems ⋮ Existence and global stability of traveling curved fronts in the Allen-Cahn equations ⋮ Traveling curved fronts of anisotropic curvature flows ⋮ Propagation of graphs in two-dimensional inhomogeneous media ⋮ On a free boundary problem for the curvature flow with driving force

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