On a Quasilinear Parabolic Curl System Motivated by Time Evolution of Meissner States of Superconductors

DOI10.1137/20M1351643zbMath1479.82104OpenAlexW3212829858MaRDI QIDQ5014290

Kyungkeun Kang, Xing-Bin Pan

Publication date: 1 December 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1351643

zbMATH Keywords

initial-boundary value problemCauchy problemsuperconductivityquasilinear systemMeissner stateparabolic curl system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Statistical mechanics of superconductors (82D55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic systems (35K45) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

Static and evolution equations with degenerate curls ⋮ Regularity of a parabolic system involving curl

Cites Work

• On the shape of meissner solutions to a limiting form of Ginzburg-Landau systems
• Erratum: Nucleation of instability of the Meissner state of 3-dimensional superconductors
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• Finite Element Methods for Navier-Stokes Equations
• Estimating ∇u by divu and curlu
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• On the regularity of weak solutions to parabolic systems in two spatial dimensions
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• ON A NONLINEAR MAXWELL'S SYSTEM IN QUASI-STATIONARY ELECTROMAGNETIC FIELDS
• Superheating Field of Type II Superconductors
• Mathematical problems of boundary layer behavior of superconductivity and liquid crystals
• Asymptotics of solutions of a quasilinear system involving curl
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