摘要
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程,证明了它的有界吸收集和有限维惯性流形的存在性,并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E. is equivalent to a system of ordinary differential equations under some conditions.
出处
《工程数学学报》
CSCD
北大核心
2003年第4期38-42,共5页
Chinese Journal of Engineering Mathematics
基金
山西省自然科学基金资助项目.
关键词
非线性
粘弹性
吸收集
惯性流形
nonlinear
viscous-elastic
absorbing set
inertial manifolds
