研究了具有双记忆项的非线性热弹耦合梁方程,利用已知的研究结果给出解的适定性定理,其次通过先验估计并结合常用不等式证明系统存在有界吸收集,且利用标准方法验证半群的渐近紧性,得到整体吸引子的存在性.
The thermoelastic nonlinear beam equation with double memory is studied,the existence theorems of solutions is given by some research resuets.It is proved that the system in the presence of bounded absorbing set through a priori estimates and some inequality.Using standard method verify the asymptotic compactness of semigroup,So we get the existence of global attractor.