Volume 9, Issue 2
A Stefan Problem with Curvature Correction in a Concentrated Capacity

Wanghui Yu

DOI:

J. Part. Diff. Eq., 9 (1996), pp. 111-128.

Published online: 1996-09

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  • Abstract

We consider a Stefan problem with the curvature correction in a concentrated capacity. It is a kind of phase transition problems, in which the unknown temperature satisfies both the Stefan condition and the curvature correction on the free boundary, and also fulfills a kind of heat equations with special inner heat source. The inner beat source is related to the derivative of the temperature with respect to the direction vertical to the phase regions. The result established in this paper is the existence of a global weak solution of this problem.

  • Keywords

Stefan problem curvature concentrated capacity

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@Article{JPDE-9-111, author = {}, title = {A Stefan Problem with Curvature Correction in a Concentrated Capacity}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {2}, pages = {111--128}, abstract = { We consider a Stefan problem with the curvature correction in a concentrated capacity. It is a kind of phase transition problems, in which the unknown temperature satisfies both the Stefan condition and the curvature correction on the free boundary, and also fulfills a kind of heat equations with special inner heat source. The inner beat source is related to the derivative of the temperature with respect to the direction vertical to the phase regions. The result established in this paper is the existence of a global weak solution of this problem.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5614.html} }
TY - JOUR T1 - A Stefan Problem with Curvature Correction in a Concentrated Capacity JO - Journal of Partial Differential Equations VL - 2 SP - 111 EP - 128 PY - 1996 DA - 1996/09 SN - 9 DO - http://dor.org/ UR - https://global-sci.org/intro/jpde/5614.html KW - Stefan problem KW - curvature KW - concentrated capacity AB - We consider a Stefan problem with the curvature correction in a concentrated capacity. It is a kind of phase transition problems, in which the unknown temperature satisfies both the Stefan condition and the curvature correction on the free boundary, and also fulfills a kind of heat equations with special inner heat source. The inner beat source is related to the derivative of the temperature with respect to the direction vertical to the phase regions. The result established in this paper is the existence of a global weak solution of this problem.
Wanghui Yu . (2019). A Stefan Problem with Curvature Correction in a Concentrated Capacity. Journal of Partial Differential Equations. 9 (2). 111-128. doi:
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