Abstract
This paper is concerned with blow-up dynamics of solutions to coupled sys-tems of damped inhomogeneous wave equations with power nonlinearities related to weight function tα|x|β and variable boundary conditions on an exterior domain.The damping terms investigated in this work contain weak damping terms and convection terms.In terms of the Neumann-type boundary conditions and Dirichlet-type bound-ary conditions,the non-existence of global solutions to the problems is demonstrated by constructing appropriate test functions and applying contradiction arguments,re-spectively.Our main new contributions are that the effects of damping terms and non-linear terms on behaviors of solutions to the coupled inhomogeneous wave equations are analyzed.As far as the authors know,the results in Theorems 1.1-1.4 are new.
基金项目
山西省自然科学基金(201901D211276)
Fundamental Research Program of Shanxi Province(20210302123045)
Fundamental Research Program of Shanxi Province(202103021223182)
国家自然科学基金(11601446)
NETL
NSTL
万方数据