Uniqueness of self-similar very singular solution for non-Newtonian polytropic filtration equations with gradient absorption

Uniqueness of self-similar very singular solutions with compact support are proved for the non-Newtonian polytropic filtration equation with gradient absorption $$ \frac{\partial u}{\partial t} =\hbox{div}(|\nabla u^m|^{p-2}\nabla u^m) -|\nabla u|^{q},\quad x\in \mathbb{R}^N,\quad t>0, $...

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Bibliographic Details
Main Authors: Hailong Ye, Jingxue Yin
Format: Article
Language:English
Published: Texas State University 2015-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/83/abstr.html