On a family of solutions of the second Painlevé equation related to superconductivity
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Publication:4236531
DOI10.1017/S0956792598003428zbMath0920.34051MaRDI QIDQ4236531
Bernard Helffer, Fred B. Weissler
Publication date: 16 September 1999
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Statistical mechanics of superconductors (82D55) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items (12)
Painlevé equations -- nonlinear special functions. ⋮ Positive, unbounded and monotone solutions of the singular second Painlevé equation on the half-line ⋮ Generalized Painlevé equation and superconductivity. Asymptotic behavior of unbounded solutions ⋮ Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation ⋮ Vortex-filament solutions in the Ginzburg-Landau-Painlevé theory of phase transition ⋮ On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem ⋮ Numerical study of the stability of solutions for the half-space Ginzburg--Landau model ⋮ Expansion for the superheating field in a semi-infinite film in the weak-κlimit ⋮ Boundary value problems on the half-line for a generalised Painlevé II equation ⋮ Classification of the solutions of a strongly nonlinear elliptic problem ⋮ The connecting solution of the Painlevé phase transition model ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit
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