Regularity of a parabolic system involving curl

@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. 

References

SHOWING 1-10 OF 12 REFERENCES
SECOND ORDER PARABOLIC DIFFERENTIAL EQUATIONS
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
Blow-up Theories for Semilinear Parabolic Equations
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
On a Quasilinear Parabolic Curl System Motivated by Time Evolution of Meissner States of Superconductors
  • K. Kang, Xing-bin Pan
  • Mathematics
    SIAM Journal on Mathematical Analysis
  • 2021
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...
Nucleation of Instability of the Meissner State of 3-Dimensional Superconductors
This paper concerns a nonlinear partial differential system in a 3-dimensional domain involving the operator curl2, which is a simplified model used to examine nucleation of instability of the
Surface superconductivity in 3 dimensions
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.
vol
  • 2018, Springer-Verlag Berlin Heidelberg
  • 2011
On a problem related to vortex nucleation of 3 dimensional superconductors
  • Comm. Math. Phys.,
  • 2007
  • 1990
vol
  • 3, Springer-Verlag, New York,
  • 1990
...
1
2
...