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Volume 9, Issue 1
Local Existence of Bounded Solutions to the Degenerate Stefan Problem with Joule's Heating

Guangwei Yuan

J. Part. Diff. Eq., 9 (1996), pp. 42-54.

Published online: 1996-09

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  • 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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@Article{JPDE-9-42, author = {Guangwei Yuan }, title = {Local Existence of Bounded Solutions to the Degenerate Stefan Problem with Joule's Heating}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {1}, pages = {42--54}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5608.html} }
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.
Guangwei Yuan . (1996). Local Existence of Bounded Solutions to the Degenerate Stefan Problem with Joule's Heating. Journal of Partial Differential Equations. 9 (1). 42-54. doi:
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