TY - JOUR
T1 - Existence of a Weak Solution for the Phase Change Problem with Joule's Heating
AU - Yuan Guangwei
JO - Journal of Partial Differential Equations
VL - 1
SP - 35
EP - 48
PY - 1994
DA - 1994/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5671.html
KW - phase change
KW -  system of nonlinear partial differential equations
KW -  quadratic growth
AB -  A phase change problem with Joule's heat ing describes tbe processes of electric heating in a conducting material. It is modeled as a coupled system of nonlinear partial differential equations with quadratic growth in the gradient. We establish the existence of a weak solution for the problem in two dimensions.