Geodesic
Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source
Jun Zhou1
1 School of Mathematics and Statistics Southwest University Chongqing, 400715, P.R. China
Annales Polonici Mathematici, Tome 116 (2016) no. 3, pp. 197-216.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper deals with the blow-up properties of the non-Newtonian polytropic filtration equation $$ u_t-{\rm div}(|\nabla u^m|^{p-2}\nabla u^m)=f(u) $$ with homogeneous Dirichlet boundary conditions. The blow-up conditions, upper and lower bounds of the blow-up time, and the blow-up rate are established by using the energy method and differential inequality techniques.
DOI : 10.4064/ap3788-10-2015
Keywords: paper deals blow up properties non newtonian polytropic filtration equation t div nabla p nabla homogeneous dirichlet boundary conditions blow up conditions upper lower bounds blow up time blow up rate established using energy method differential inequality techniques

Jun Zhou 1

1 School of Mathematics and Statistics Southwest University Chongqing, 400715, P.R. China 
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Jun Zhou. Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source. Annales Polonici Mathematici, Tome 116 (2016) no. 3, pp. 197-216. doi : 10.4064/ap3788-10-2015. http://geodesic.mathdoc.fr/articles/10.4064/ap3788-10-2015/

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