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

作者：Boutefnouchet M; Erjaee H; Kirane M^*; Qafsaoui M

来源：ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 2016, 96(9): 1119-1128.

DOI：10.1002/zamm.201500134

• Nonexistence of global solutions
• strongly coupled systems
• degenerate systems
• threshold exponent

We study the nonexistence of global solutions to the Cauchy problem for systems of parabolic-hyperbolic or hyperbolic thermo-elasticity equations posed in RN. For power nonlinearities, we present threshold critical exponents depending on the space dimension N. Our method of proof rests on the nonlinear capacity method.

• 出版日期2016-9