On a degenerate evolution system associated with the Bean critical-state for type II superconductors (Q1669129)
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scientific article; zbMATH DE number 6929257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a degenerate evolution system associated with the Bean critical-state for type II superconductors |
scientific article; zbMATH DE number 6929257 |
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On a degenerate evolution system associated with the Bean critical-state for type II superconductors (English)
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30 August 2018
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Summary: We study a degenerate evolution system containing the \(p\)-curl system in a bounded domain with initial and boundary conditions for the magnetic field \(\mathbf{H}\) under the influence of a system force \(\mathbf{F}\). 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 \(p \to \infty\).
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