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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 -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 .

Suggested Citation

  • Junichi Aramaki, 2015. "On a Degenerate Evolution System Associated with the Bean Critical-State for Type II Superconductors," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-13, December.
    • Handle: RePEc:hin:jnlaaa:875190
    DOI: 10.1155/2015/875190
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