一类具粘弹性项非线性波动方程的全局吸引子

Global attractor for a class of nonlinear wave equation with viscoelastic term

讨论一类具粘弹性项的非线性波动方程整体解的长时间行为,利用广义Gronwall引理,得到整体解对应解半群的耗散性.通过验证满足相关条件,得到了全局吸引子的存在性.

Discusses the long time behavior of global solutions for a class of nonlinear wave equations with viscoelastic terms,by using the generalized Gronwall lemma,the dissipative property of the global solution corresponding to the solution semigroup is obtained.And then by verifying it satisfies the relevant condition,the existence of globalattractor is obtained.