Evolution of Mixed-State Regions in Type-II Superconductors

Authors

Chaocheng Huang, Wright State University - Main CampusFollow
Tom Svobodny, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

7-1998

Abstract

A mean-field model for dynamics of superconducting vortices is studied. The model, consisting of an elliptic equation coupled with a hyperbolic equation with discontinuous initial data, is formulated as a system of nonlocal integrodifferential equations. We show that there exists a unique classical solution in C^1+α(Ω₀) for all t > Ω, where Ω₀ is the initial vortex region that is assumed to be in C^1+α. Consequently, for any time t, the vortex region Ω_t is of C^1+α, and the vorticity is in C^α(Ω_t).

Repository Citation

Huang, C., & Svobodny, T. (1998). Evolution of Mixed-State Regions in Type-II Superconductors. SIAM Journal on Mathematical Analysis, 29 (4), 1002-1021.
https://corescholar.libraries.wright.edu/math/45

DOI

10.1137/S003614109731504X