scientific article; zbMATH DE number 912110

zbMath0857.34006MaRDI QIDQ4886467

Catherine Bolley, Bernard Helffer

Publication date: 31 July 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

existenceuniquenessbifurcating superconducting solutionsGinzburg-Landau equations for a film

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Bifurcation theory for ordinary differential equations (34C23) Motion of charged particles (78A35) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Proof of the De Gennes formula for the superheating field in the weak \(\kappa\) limit ⋮ Lower bound for the superheating field in the weak-κ limit: The general case ⋮ Nucleation of instability of the Meissner state of 3-dimensional superconductors ⋮ Meissner states of type II superconductors ⋮ Global superheating field for superconductors in a large bounded interval ⋮ Expansion for the superheating field in a semi-infinite film in the weak-κlimit ⋮ Existence and non-existence of solutions to the Ginzburg-Landau equations in a semi-infinite superconducting film ⋮ On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity

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