三维记忆Navier-Stokes-Voigt方程的回拉动力学和鲁棒性

IF 1 4区数学 Q1 MATHEMATICS

Electronic Research Archive Pub Date : 2023-01-01 DOI:10.3934/era.2023046

Keqin Su, Rong Yang

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引用次数: 0

摘要

研究了具有记忆和摄动外力的三维Navier-Stokes-Voigt方程的回调动力学和鲁棒性。基于全局适定性结果和涉及记忆的能量估计，构造了一个合适的调质宇宙，最后在扰动参数epsilon趋于零时，通过调质回拉吸引子的上半连续性建立了鲁棒性。

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Pullback dynamics and robustness for the 3D Navier-Stokes-Voigt equations with memory

The tempered pullback dynamics and robustness of the 3D Navier-Stokes-Voigt equations with memory and perturbed external force are considered in this paper. Based on the global well-posedness results and energy estimates involving memory, a suitable tempered universe is constructed, the robustness is finally established via the upper semi-continuity of tempered pullback attractors when the perturbation parameter epsilon tends to zero.

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来源期刊

Electronic Research Archive MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

170