A Free Boundary Problem Governed by Nonlinear Degenerate Equations of Parabolic Type

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Volume 5, Issue 2

Bai Donghua

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} }

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.

Bai Donghua. (1970). A Free Boundary Problem Governed by Nonlinear Degenerate Equations of Parabolic Type. Journal of Partial Differential Equations. 5 (2). 37-52. doi:

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