On the uniqueness of solutions of the Ginzburg–Landau system for thin films

DOI10.1017/S0956792599004167zbMath0976.34027OpenAlexW2349512131MaRDI QIDQ4525173

Amandine Aftalion, William C. Troy

Publication date: 6 January 2002

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792599004167

zbMATH Keywords

uniquenessbifurcationsuperconductivityGinzburg-Landausymmetric and asymmetric solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Bifurcation theory for ordinary differential equations (34C23) Statistical mechanics of superconductors (82D55) Applications of boundary value problems involving ordinary differential equations (34B60) Statistical mechanics of magnetic materials (82D40)

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Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: A computer-assisted proof

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