On a Degenerate Evolution System Associated with the Bean Critical-State for Type II Superconductors
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 s...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/875190 |
| 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 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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| ISSN: | 1085-3375 1687-0409 |