一类具有非线性阻尼的梁系统的整体吸引子

The Global Attractor for the Beam with Nonlinear Damp Term

利用经典的算子半群理论,研究了一类具有非线性阻尼和非线性外力项的梁方程的初边值问题,证明了系统解的存在唯一性,然后引入一个算子半群;利用经典的算子半群分解方法,证明了系统存在整体吸引子.

Considering the initial boundary value problem for a class of beam equation with nonlinear damping and external force and using the classic theory of operator semigroup,we prove the existence and uniqueness of the solution for this system,then we can introduce a operator semigroup;We obtain the existence of the global attractor for this system by means of the classic decompose idea of operator semigroup.