ON THE CONTINUITY OF THE RESPONSE MAP AND AN ALTERNATIVE SHOOTING METHOD FOR THE HALF-SPACE GINZBURG–LANDAU MODEL

DOI10.1142/S0218202506001625zbMath1102.65080OpenAlexW2068202042MaRDI QIDQ5487860

Bernard Helffer, Catherine Bolley

Publication date: 12 September 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202506001625

zbMATH Keywords

superconductivitynonlinear ODE systemnonlinear Ginzburg-Landau equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Statistical mechanics of superconductors (82D55) Growth and boundedness of solutions to ordinary differential equations (34C11) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

Numerical study of the stability of solutions for the half-space Ginzburg--Landau model

Cites Work

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• Proof of the De Gennes formula for the superheating field in the weak \(\kappa\) limit
• On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity
• Superheating in a semi-infinite film in the weak $\kappa $ limit : numerical results and approximate models
• On the theory of superconductivity
• Multiple wells in the semi-classical limit I
• Normal/superconducting transitions in Landau–Ginzburg theory
• A Priori Estimates for Ginzburg-Landau Solutions
• Superheating Field of Type II Superconductors
• RIGOROUS RESULTS FOR THE GINZBURG-LANDAU EQUATIONS ASSOCIATED TO A SUPERCONDUCTING FILM IN THE WEAK κ LIMIT

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