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Local Existence of Bounded Solutions to the Degenerate Stefan Problem with Joule's Heating |
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| Authors: | Guangwei Yuan |
| Abstract: | This paper deals with the degenerate Stefan problem with Joule's heating, which describes the combined effects of heat and electrical current Rows in a metal. The local existence of a bounded weak solution for the problem in proved. Also a degenerate thermistor problem with continuous conductivity is considered. |
| Keywords: | Degenerate bounded solutions compactness Stefan problem |
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