Variational problems on multiply connected thin strips. II: Convergence of the Ginzburg-Landau functional

DOI10.1007/s002050100165zbMath0997.49004OpenAlexW2041723951MaRDI QIDQ5957110

Michelle Schatzman, Jacob Rubinstein

Publication date: 11 November 2002

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050100165

zbMATH Keywords

minimization problemsingularityGinzburg-Landau equationasymptotic analysis

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45) Yang-Mills and other gauge theories in quantum field theory (81T13) Statistical mechanics of superconductors (82D55) Variational principles of physics (49S05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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Limits of a Ginzburg–Landau model with codimension-one defects ⋮ Convergence of spectra of uniformly fattened open book structures ⋮ Narrow escape in composite domains forming heterogeneous networks ⋮ Variational problems on multiply connected thin strips III: Integration of the Ginzburg-Landau equations over graphs ⋮ On the curvature and torsion effects in one dimensional waveguides ⋮ SPECTRAL PROPERTIES AND SYMMETRIES OF DOUBLE COVERINGS OF GRAPHS WITH APPLICATIONS TO SUPERCONDUCTIVITY ⋮ Elliptic problems on networks with constrictions ⋮ Wave propagation in fractal trees. Mathematical and numerical issues ⋮ Thin waveguides with Robin boundary conditions

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