Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source

Jun Zhou. "Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source." Annales Polonici Mathematici 116.3 (2016): 197-216. <http://eudml.org/doc/280527>.

@article{JunZhou2016,
abstract = {This paper deals with the blow-up properties of the non-Newtonian polytropic filtration equation $u_t - div(|∇u^m|^\{p-2\} ∇u^m) = f(u)$ 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.},
author = {Jun Zhou},
journal = {Annales Polonici Mathematici},
keywords = {non-Newtonian polytropic filtration equation; blow-up; positive energy; bounds on blow-up time},
language = {eng},
number = {3},
pages = {197-216},
title = {Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source},
url = {http://eudml.org/doc/280527},
volume = {116},
year = {2016},
}

TY - JOUR
AU - Jun Zhou
TI - Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 3
SP - 197
EP - 216
AB - This paper deals with the blow-up properties of the non-Newtonian polytropic filtration equation $u_t - div(|∇u^m|^{p-2} ∇u^m) = f(u)$ 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.
LA - eng
KW - non-Newtonian polytropic filtration equation; blow-up; positive energy; bounds on blow-up time
UR - http://eudml.org/doc/280527
ER -