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://doi.org/
UR - https://global-sci.org/intro/article_detail/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.