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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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.

Article information

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

Dates
First available in Project Euclid: 28 January 2016

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1453944259

Digital Object Identifier
doi:10.1155/2015/875190

Mathematical Reviews number (MathSciNet)
MR3442611

Zentralblatt MATH identifier
06929257

Citation

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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