Abstract

We study the qualitative behavior of weak solutions to an autonomous modified Kelvin–Voigt model on the base of the theory of attractors for noninvariant trajectory spaces. For the model under consideration, we determine the trajectory space, introduce the notions of a trajectory attractor and a global attractor, and prove the existence of these attractors.

中文翻译：

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修正的Kelvin–Voigt模型的轨迹和全局吸引子

摘要

我们基于非不变轨迹空间的吸引子理论，研究了自主修正的Kelvin-Voigt模型的弱解的定性行为。对于所考虑的模型，我们确定轨迹空间，介绍轨迹吸引子和全局吸引子的概念，并证明这些吸引子的存在。