A blow-up result for nonlinear generalized heat equation

被引：33

作者：

Kbiri Alaoui, M. ^{[1
]}

Messaoudi, S. A. ^{[2
]}

Khenous, H. B. ^{[1
]}

机构：

[1] King Khalid Univ, Dept Math, POB 9004, Abha 61321, Saudi Arabia

[2] KFUPM, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 68卷 / 12期

关键词：

Nonlinear heat equation; Blow up; Sobolev spaces with variable exponents; SPACES; SUBDIFFERENTIALS; OPERATORS; LEBESGUE;

D O I：

10.1016/j.camwa.2014.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a nonlinear heat equation with nonlinearities of variableexponent type. We show that any solution with nontrivial initial datum blows up in finite time. We also give a two-dimension numerical example to illustrate our result. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：1723 / 1732

页数：10

共 16 条

[1] Regularity results for electrorheological fluids: the stationary case [J].