Boundary value problems of the Ginzburg–Landau equations

DOI10.1017/S0308210500024471zbMath0708.35074OpenAlexW2152843048MaRDI QIDQ3490386

Yisong Yang

Publication date: 1990

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024471

zbMATH Keywords

Dirichlet problemssuperconductivityGinzburg-Landau equationsmultivortex solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with quantum mechanics (35Q40) Applications of quantum theory to specific physical systems (81V99)

Related Items (10)

Remark on a relation between magnetic field and topological degree of order parameter in a type-II superconductivity model ⋮ Vortices for a variational problem related to superconductivity ⋮ On a non‐stationary Ginzburg–Landau superconductivity model ⋮ Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: A computer-assisted proof ⋮ The existence of multiple solutions for a Ginzburg–Landau type model of superconductivity ⋮ The Meissner effect and the Ginzburg–Landau equations in the presence of an applied magnetic field ⋮ Local minimizers with vortex pinning to Ginzburg-Landau functional in three dimensions ⋮ A BOUNDARY VALUE PROBLEM FOR MONOPOLES OVER A 3-DIMENSIONAL DISK ⋮ Numerical study of the stability of solutions for the half-space Ginzburg--Landau model ⋮ On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity

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