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.