TY - JOUR
T1 - A Free Boundary Problem Governed by Nonlinear Degenerate Equations of Parabolic Type
AU - Bai Donghua
JO - Journal of Partial Differential Equations
VL - 2
SP - 37
EP - 52
PY - 1992
DA - 1992/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5736.html
KW - Free boundary problems
KW - nonlinear degenerate equations of parabolic type
KW - quasi-variational inequality
KW - non-Newtonian fluid
AB - We consider a free boundary problem connected with non-Newtonian fluid motion, i.e. the flow of power law fluids with the yield stress. We obtain the solution of the relevant approximation problem by means of a parabolic quasi-variational inequality, and then obtain the weak solution of the original problem after a passage to the limit. Finally, we study the regularity of the weak solution.