WELL POSEDNESS FOR A PHASE TRANSITION MODEL IN SUPERCONDUCTIVITY WITH VELOCITY AND MAGNETIC CRITICAL FIELDS

DOI10.1142/S0218202509003334zbMath1158.82013OpenAlexW2004521345MaRDI QIDQ3601336

Mauro Fabrizio, Valeria Berti

Publication date: 10 February 2009

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

Full work available at URL: https://doi.org/10.1142/s0218202509003334

zbMATH Keywords

phase transitionsuperconductivitymagnetic critical field

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Thermodynamics in solid mechanics (74A15) Statistical mechanics of superconductors (82D55)

Related Items (6)

Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling ⋮ Quasistatic evolution for Cam-Clay plasticity: properties of the viscosity solution ⋮ On the properties of ambiguity and irreversibility of dynamical maps of the initial data space of Cauchy problem ⋮ Global existence of strong solutions to a time‐dependent 3D Ginzburg‐Landau model for superconductivity with partial viscous terms ⋮ \(\Gamma \)-convergence of some super quadratic functionals with singular weights ⋮ Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions

Cites Work

• Unnamed Item
• Ginzburg-Landau equations and first and second order phase transitions
• A non-isothermal Ginzburg--Landau model in superconductivity: existence, uniqueness and asymptotic behaviour
• Time dependent Ginzburg-Landau equations of superconductivity
• Existence and uniqueness for a non-isothermal dynamical Ginzburg-Landau model of super\-conductivity
• Thermodynamics of Nonlocal Electromagnetism and Superconductivity
• A PHASE FIELD MODEL WITH THERMAL MEMORY GOVERNED BY THE ENTROPY BALANCE
• On a non‐stationary Ginzburg–Landau superconductivity model
• Global classical solutions to a non-isothermal dynamical ginzburg-landau model in superconductivity
• On the analysis of a non-isothermal model for superconductivity

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