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