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On a Degenerate Evolution System Associated with the Bean Critical‐State for Type II Superconductors

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  • Junichi Aramaki

Abstract

We study a degenerate evolution system containing the p‐curl system in a bounded domain with initial and boundary conditions for the magnetic field H under the influence of a system force F. This is concerned with an approximation of Bean’s critical‐state model for type II superconductors. We will show the existence, uniqueness, and regularity of solutions. Moreover we will get the properties of the limit solution as p → ∞.

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Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:875190
DOI: 10.1155/2015/875190
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