SIAM Journal on Mathematical Analysis, Volume 53, Issue 4, Page 3759-3771, January 2021.
The Lamé system is a classical model for isotropic elasticity and has important applications in seismology. In the present paper, we study the longtime dynamics of weakly damped Lamé systems that exhibit interior delay effects on the velocity. The main result establishes, under nonlinear forces of critical growth, the existence of a smooth finite dimensional global attractor. To the best of our knowledge, this result is new even for scalar wave equations.

中文翻译：

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具有延迟的弱阻尼拉梅系统的平滑动力学

SIAM 数学分析杂志，第 53 卷，第 4 期，第 3759-3771 页，2021
年1 月。Lamé系统是各向同性弹性的经典模型，在地震学中具有重要应用。在本文中，我们研究了对速度表现出内部延迟效应的弱阻尼拉梅系统的长期动力学。主要结果确定，在临界增长的非线性力下，存在光滑的有限维全局吸引子。据我们所知，即使对于标量波动方程，这个结果也是新的。