Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo-elasticity

被引：11

作者：

Ahmad, B. ^{[1
]}

Alsaedi, A. ^{[1
]}

Kirane, M. ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ La Rochelle, LaSIE, Pole Sci & Technol, Ave Michel Crepeau, F-17031 La Rochelle, France

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 12期

基金：

中国国家自然科学基金;

关键词：

nonexistence of global solutions; strongly coupled systems; fractional derivative; threshold exponent; BLOW-UP; EQUATION; THERMOELASTICITY; PROPAGATION;

D O I：

10.1002/mma.4303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the nonexistence of global solutions to the Cauchy problem for systems of time fractional parabolic-hyperbolic and time fractional hyperbolic thermo-elasticity equations in R-d. For certain nonlinearities, we present 'threshold' exponents depending on the space dimension d. Our proof rests on the test function method. Copyright (C) 2017 John Wiley & Sons, Ltd.

引用

页码：4272 / 4279

页数：8

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