The vortex dynamics of a Ginzburg-Landau system under pinning effect

DOI10.1007/BF02884020zbMath1215.35152arXivmath/0301097MaRDI QIDQ547817

Xingwang Xu, Huai-Yu Jian

Publication date: 25 June 2011

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301097

zbMATH Keywords

vortex dynamicsparabolic equationselliptic estimateGinzburg-Landau superconductor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Statistical mechanics of metals (82D35) Perturbations in context of PDEs (35B20) Ginzburg-Landau equations (35Q56)

Related Items (9)

Evolution of hypersurfaces by the mean curvature minus an external force field ⋮ Ginzburg-Landau vortex and mean curvature flow with external force field ⋮ On the mean curvature flow of submanifolds in the standard Gaussian space ⋮ Vortex-lines motion for the Ginzburg-Landau equation with impurity ⋮ Evolution of hypersurfaces by powers of mean curvature minus an external force field ⋮ Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field ⋮ The blow-up of the conformal mean curvature flow ⋮ Spinor Ginzburg-Landau equation and mean curvature flow ⋮ A curve flow evolved by a fourth order parabolic equation

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