TY - JOUR
T1 - A Quasisteady Stefan Problem with Curvature Correction and Kinetic Undercooling
JO - Journal of Partial Differential Equations
VL - 1
SP - 55
EP - 70
PY - 1996
DA - 1996/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5609.html
KW - Stefan problem
KW - curvature correction
KW - kinetic undercooling
AB -  A quasisteady Stefan problem with curvature correction and kinetic undercooling is considered. It is a problem with phase transition, in which not only the Stefan condition, but also the curvature correction and kinetic undercooling effect hold on the free boundary, and in phase regions elliptic equations are satisfied by the unknown temperature at each time. The existence and uniqueness of a local classical solution of this problem are obtained.