TY - JOUR
T1 - Stefan Problem with Change Density Upon Change of Phase (I)
AU - Xu Yuan
JO - Journal of Partial Differential Equations
VL - 4
SP - 330
EP - 338
PY - 1994
DA - 1994/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5691.html
KW - asymptotic behavior
KW -  existence
KW -  phase transition problem
AB -  In this paper, we establish the existence of one-dimensional classical solution of one-phase problem and its continuous dependence. In addition, we prove that if &#949 &#8594 0, the free boundary X(t) withdraws and solution converges to the solution of classical Stefan problem. The two-phase problem wiU be discussed in the coming paper.