Asymptotic Log-Harnack Inequality and Ergodicity for 3D Leray-α Model with Degenerate Type Noise

被引：0

作者：

Wei Hong

Shihu Li

Wei Liu

机构：

[1] Jiangsu Normal University,School of Mathematics Statistics

[2] Tianjin University,Center for Applied Mathematics

[3] Jiangsu Normal University,Research Institute of Mathematical Sciences

来源：

Potential Analysis | 2021年 / 55卷

关键词：

Ergodicity; Harnack inequality; Leray-; model; asymptotically strong Feller property; 60H15; 35Q30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The asymptotic log-Harnack inequality is proved for Leray-α model with degenerate type noise using the asymptotic coupling method. In particular, we don’t impose any lower bound assumption for the viscosity constant. As applications, we also derive ergodicity and further asymptotic properties for stochastic 3D Leray-α model.

引用

页码：477 / 490

页数：13

共 24 条

[21] Momentum estimates and ergodicity for the 3D stochastic cubic Ginzburg-Landau equation with degenerate noise
Pu, Xueke
Guo, Boling
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (07) : 1747 - 1777
[22] Ergodicity of the finite dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise
Romito, M
[J]. JOURNAL OF STATISTICAL PHYSICS, 2004, 114 (1-2) : 155 - 177
[23] Existence and uniqueness of invariant measures of 3D stochastic MHD-α model driven by degenerate noise
Zhang Rangrang
[J]. APPLICABLE ANALYSIS, 2022, 101 (02) : 629 - 654
[24] ASYMPTOTIC BEHAVIOR OF 3D LADYZHENSKAYA-TYPE FLUID FLOW MODEL WITH DELAY
He, Songmao
Yang, Xin-Guang
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,

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