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

• Autorzy: Jun Zhou
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K55: Nonlinear parabolic equations
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 116
• Numer: 3
• Strony: 197-216

Daty

wydano

2016

Twórcy

autor

Jun Zhou

• School of Mathematics and Statistics, Southwest University, Chongqing, 400715, P.R. China

Identyfikatory

DOI

10.4064/ap3788-10-2015