@article{Pan2021RegularityOA,
title={Regularity of a parabolic system involving curl},
author={Xing-Bin Pan},
journal={Journal of Elliptic and Parabolic Equations},
year={2021}
}

Xing-Bin Pan

Published 2 August 2021

Mathematics

Journal of Elliptic and Parabolic Equations

This note presents a regularity result with proof for an initial-boundary value problem of a linear parabolic system involving curl of the unknown vector field, subjected to the boundary condition of prescribing the tangential component of the solution.

Maximum principles introduction to the theory of weak solutions Holder estimates existence, uniqueness and regularity of solutions further theory of weak solutions strong solutions fixed point… Expand

1 Introduction.- 2 A review of elliptic theories.- 3 A review of parabolic theories.- 4 A review of fixed point theorems.-5 Finite time Blow-up for evolution equations.- 6 Steady-State solutions.- 7… Expand

We study a quasilinear parabolic curl system, which comes from a time-dependent version of the elliptic system of the Meissner state of a type II superconductor subjected to an applied magnetic fie...

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We study the Ginzburg-Landau system for a superconductor occupying a 3-dimensional bounded domain, and improve the estimate of the upper critical field H C3 obtained by K. Lu and X. Pan in J. Diff.… Expand