Volume 5, Issue 2
A Free Boundary Problem Governed by Nonlinear Degenerate Equations of Parabolic Type

Bai Donghua

DOI:

J. Part. Diff. Eq.,5(1992),pp.37-52

Published online: 1992-05

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  • Abstract

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.

  • Keywords

Free boundary problems nonlinear degenerate equations of parabolic type quasi-variational inequality non-Newtonian fluid

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@Article{JPDE-5-37, author = {Bai Donghua}, title = {A Free Boundary Problem Governed by Nonlinear Degenerate Equations of Parabolic Type}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {2}, pages = {37--52}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5736.html} }
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