Flux of superconducting vortices through a domain
S. N. Antontsev, N. V. Chemetov
TL;DR
This paper presents a mean-field model for superconducting vortices in type II superconductors, proving the existence and regularity of solutions related to vortex flux through a domain.
Contribution
It establishes the global solvability and analyzes the regularity of weak solutions for a vortex flux model in superconductors.
Findings
Proved global solvability of the vortex flux problem.
Analyzed regularity properties of weak solutions.
Provided mathematical foundation for vortex flux behavior.
Abstract
We study a mean-field model of superconducting vortices in a II-type superconductor. We prove the global solvability of the problem about a flux of superconducting vortices through a given domain and also analyse the regularity of weak solutions.
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Taxonomy
TopicsSuperconducting Materials and Applications