波方程与欧拉伯努利板方程耦合系统的全局吸引子

Abstract

Abstract:

In this paper, we consider the longtime behavior for a coupled system consisting of the semi-linear wave equation with nonlinear boundary dissipation and the Euler-Bernoulli plate equation on a Riemannian manifold. It is shown that the existence of global and compact attractors depends on the curvature properties of the metric on the manifold by using the multiplier method and the hypothesis of escape vector field.

Key words: Global attractor, Coupled wave/plate equation, Geometric multiplier method, Nonlinear boundary dissipation

CLC Number:

O231.4

Peng Qingqing,Zhang Zhifei. Global Attractor for a Coupled System of Wave and Euler-Bernoulli Plate Equation with Boundary Weak Damping[J].Acta mathematica scientia,Series A, 2023, 43(4): 1179-1196.

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Global Attractor for a Coupled System of Wave and Euler-Bernoulli Plate Equation with Boundary Weak Damping

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