Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids

Yang, Hujun; Han, Xiaoling; Wang, Xuan; Zhao, Caidi

doi:10.3934/dcdss.2022202

DCDS-S

2023

DOI: 10.3934/dcdss.2022202

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Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids

Hujun Yang¹,

Xiaoling Han²,

Xuan Wang³

et al.

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Cited by 2 publications

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Existence and degenerate regularity of statistical solution for the 2D non-autonomous tropical climate model

Yang,

Han,

Zhao

et al. 2023

Journal of Mathematical Physics

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In this paper, the authors investigate the probability distribution of solutions within the phase space for the non-autonomous tropical climate model in two-dimensional bounded domains. They first prove that the associated process possesses a pullback attractor and a family of invariant Borel probability measures. Then they establish that this family of invariant Borel probability measures satisfies Liouville’s theorem and is a statistical solution of the tropical climate model. Afterwards, they prove that the statistical solution possesses degenerate Lusin’s type regularity provided that the associated Grashof number is small enough.

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Existence and degenerate regularity of statistical solution for the 2D non-autonomous tropical climate model

Yang,

Han,

Zhao

et al. 2023

Journal of Mathematical Physics

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Existence and homogenization of trajectory statistical solutions for the 3D incompressible Hall-MHD equations

Yang,

Han,

Zhao

2024

DCDS-S

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Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids

Cited by 2 publications

References 55 publications

Existence and degenerate regularity of statistical solution for the 2D non-autonomous tropical climate model

Existence and degenerate regularity of statistical solution for the 2D non-autonomous tropical climate model

Existence and homogenization of trajectory statistical solutions for the 3D incompressible Hall-MHD equations

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