带有记忆的热弹盘方程整体吸引子的存在性

Global Attractors for Thermoelastic Plates with Memory

研究了带有记忆的热弹盘模型整体吸引子的存在性。在已知解的衰减结论下,建立恰当的符号空间,利用能量方法通过抬高初值正则性,得到解的渐近正则性结果,同时在Kuratowski测度下,证明了吸收球的紧性,最终得到吸引子的存在性。

The thermoelastic plates with memory is considered. The existence of the global attractor for this system is given. Under the decay result of the solution and the symbol space properly, by using the energy method through raising the initial regularity, the asymptotic regularity results of solutions is proven. At the same time in the Kuratowski measure, the global attractor follows directly from the compactness of the absorption ball is proved.