带强阻尼的Kirchhoff型吊桥方程指数吸引子的存在性

The existence of exponential attractors for strong damped Kirchhoff-type suspension bridge equations

利用算子半群分解技巧,本文研究Kirchhoff型吊桥方程长时间动力学行为.在较弱的非线性条件下,首先验证解半群在两个空间中的渐近紧性;其次运用算子分解技巧,得到带有强阻尼的Kirchhoff型吊桥方程指数吸引子的存在性.

In this paper, we study the long time dynamical behavior of strong damped Kirchhoff-type suspension bridge equations by the decomposing technique of operator semigroup. Under the weaker condition of the nonlinearity, we first verify the asymptotic compactness of solution semigroup in two spaces. Then we use the decomposing technique of operator semigroup to obtain the existence of exponential attractors for the strong damped Kirchhoff-type suspension bridge equations.