Ladyzhenskaya流体力学方程组的拉回吸引子与不变测度

赵才地, 李艳娇, 阳玲, 张明书

数学学报 ›› 2018, Vol. 61 ›› Issue (5) : 823-834.

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数学学报 ›› 2018, Vol. 61 ›› Issue (5) : 823-834. DOI: 10.12386/A2018sxxb0076
论文

Ladyzhenskaya流体力学方程组的拉回吸引子与不变测度

    赵才地, 李艳娇, 阳玲, 张明书
作者信息 +

Pullback Attractor and Invariant Measure for the Equations of Ladyzhenskaya Fluid

    Cai Di ZHAO, Yan Jiao LI, Ling YANG, Ming Shu ZHANG
Author information +
文章历史 +

摘要

本文讨论带周期边界条件的二维Ladyzhenskaya流体力学方程组解的渐近行为.作者先证明该流体力学方程组存在拉回吸引子,然后证明该拉回吸引子上存在唯一不变Borel概率测度.

Abstract

This paper studies the asymptotic behavior of solutions for equations of the two-dimensional Ladyzhenskaya fluid with periodic boundary conditions. The authors first prove the existence of the pullback attractor for the associated process. Then they establish the existence and uniqueness of the invariant Borel probability measure contained in the pullback attractor.

关键词

Ladyzhenskaya流体方程组 / 拉回吸引子 / 不变测度

Key words

equations of Ladyzhenskaya fluid / pullback attractor / invariant measure

引用本文

导出引用
赵才地, 李艳娇, 阳玲, 张明书. Ladyzhenskaya流体力学方程组的拉回吸引子与不变测度. 数学学报, 2018, 61(5): 823-834 https://doi.org/10.12386/A2018sxxb0076
Cai Di ZHAO, Yan Jiao LI, Ling YANG, Ming Shu ZHANG. Pullback Attractor and Invariant Measure for the Equations of Ladyzhenskaya Fluid. Acta Mathematica Sinica, Chinese Series, 2018, 61(5): 823-834 https://doi.org/10.12386/A2018sxxb0076

参考文献

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基金

国家自然科学基金资助项目(11271290,51279209);浙江省自然科学基金资助项目(LY17A010011)

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