Stability of weak solutions of a non-Newtonian polytropic filtration equation

We study a non-Newtonian polytropic filtration equation with a convection term. We introduce new type of weak solutions and show the existence of weak solutions. We show that when $\int_{\Omega} [a(x)]^{-1(p-1)}dx<\infty$, the stability of weak solutions is based on the usual initial-bounda...

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Bibliographic Details
Main Authors: Huashui Zhan, Zhaosheng Feng
Format: Article
Language:English
Published: Texas State University 2018-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/190/abstr.html