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

Junichi Aramaki

Abstract and Applied Analysis, 2015, vol. 2015, 1-13

Abstract:

We study a degenerate evolution system containing the -curl system in a bounded domain with initial and boundary conditions for the magnetic field under the influence of a system force . 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 .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:875190

DOI: 10.1155/2015/875190

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