Existence of solution for the Ginzburg-Landau system, a related optimal control problem and its computation by the generalized method of lines

DOI10.1016/J.AMC.2012.05.067zbMath1292.35287OpenAlexW2033836723MaRDI QIDQ388621

Fabio Silva Botelho

Publication date: 2 January 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.067

zbMATH Keywords

optimal controlexistence of solutionsGinzburg-Landau systemsuperconductivitygeneralized method of lines

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Method of lines for boundary value problems involving PDEs (65N40) Ginzburg-Landau equations (35Q56)

Related Items (2)

A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams ⋮ On the generalized method of lines applied to Ginzburg-Landau type equations

Cites Work

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• Lagrange Multiplier Approach to Variational Problems and Applications
• Ginzburg-Landau vortices

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