Abstract and Applied Analysis

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

Junichi Aramaki

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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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Abstr. Appl. Anal., Volume 2015 (2015), Article ID 875190, 13 pages.

First available in Project Euclid: 28 January 2016

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Aramaki, Junichi. On a Degenerate Evolution System Associated with the Bean Critical-State for Type II Superconductors. Abstr. Appl. Anal. 2015 (2015), Article ID 875190, 13 pages. doi:10.1155/2015/875190. https://projecteuclid.org/euclid.aaa/1453944259

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