TY - JOUR T1 - Local Existence of Bounded Solutions to the Degenerate Stefan Problem with Joule's Heating AU - Guangwei Yuan JO - Journal of Partial Differential Equations VL - 1 SP - 42 EP - 54 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5608.html KW - Degenerate KW - bounded solutions KW - compactness KW - Stefan problem AB - 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.