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Pullback attractors for weak solution to modified Kelvin-Voigt model
Evolution Equations and Control Theory ( IF 1.5 ) Pub Date : 2022-01-01 , DOI: 10.3934/eect.2022011
Mikhail Turbin 1 , Anastasiia Ustiuzhaninova 1
Affiliation  

<p style='text-indent:20px;'>The paper is devoted to the investigation of the qualitative dynamics of weak solutions for the modified Kelvin-Voigt model on the base of the theory of pullback attractors for trajectory spaces. At first, for the studied model, an auxiliary problem is considered, its solvability in the weak sense is proved, and some solution estimates are established. Then, on the base of these estimates, a family of trajectory spaces is determined and the existence of trajectory and minimal pullback attractors for the considered trajectory spaces is proved.</p>

中文翻译:

修正 Kelvin-Voigt 模型弱解的回拉吸引子

<p style='text-indent:20px;'>本文在轨迹空间的回拉吸引子理论的基础上,研究了修正的Kelvin-Voigt模型弱解的定性动力学。首先,对于所研究的模型,考虑了一个辅助问题,证明了它在弱意义上的可解性,并建立了一些解估计。然后,在这些估计的基础上,确定了轨迹空间族,证明了所考虑的轨迹空间存在轨迹和最小回拉吸引子。</p>
更新日期:2022-01-01
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