| Ladyzhenskaya流体力学方程组的拉回吸引子与不变测度 |
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| 引用本文： | 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[J]. 数学学报, 2018, 61(5): 823-834 |
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| 作者姓名： | 赵才地 李艳娇 阳玲 张明书 |
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| 作者单位： | 温州大学数理与电子信息工程学院 温州 325035 |
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| 基金项目： | 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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| 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.
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Pullback Attractor and Invariant Measure for the Equations of Ladyzhenskaya Fluid |
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| Cai Di ZHAO,Yan Jiao LI,Ling YANG,Ming Shu ZHANG. Pullback Attractor and Invariant Measure for the Equations of Ladyzhenskaya Fluid[J]. Acta Mathematica Sinica, 2018, 61(5): 823-834 |
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| Authors: | Cai Di ZHAO Yan Jiao LI Ling YANG Ming Shu ZHANG |
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| Affiliation: | College of Mathematical Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, P. R. China |
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| 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. |
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| Keywords: | equations of Ladyzhenskaya fluid pullback attractor invariant measure |
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