Geodesic
Uniqueness of self-similar very singular solution for non-Newtonian polytropic filtration equations with gradient absorption
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Uniqueness of self-similar very singular solutions with compact support are proved for the non-Newtonian polytropic filtration equation with gradient absorption $$ \frac{\partial u}{\partial t} =\hbox{div}(|\nabla u^m|^{p-2}\nabla u^m) -|\nabla u|^{q},\quad x\in \mathbb{R}^N,\quad t>0, $$ where $m>0, p>1, m(p-1)>1$ and $q>1$.
Classification : 35K65, 35K92, 35K15
Keywords: polytropic filtration, gradient absorption, uniqueness, self-similar, very singular 
@article{EJDE_2015__2015__a67,
     author = {Ye, Hailong and Yin, Jingxue},
     title = {Uniqueness of self-similar very singular solution for {non-Newtonian} polytropic filtration equations with gradient absorption},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a67/}
}
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Ye, Hailong; Yin, Jingxue. Uniqueness of self-similar very singular solution for non-Newtonian polytropic filtration equations with gradient absorption. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a67/