Dynamics of stochastic 3D Brinkman-Forchheimer equations on unbounded domains

被引：2

作者：

Wang, Shu ^{[1
]}

Si, Mengmeng ^{[1
]}

Yang, Rong ^{[1
]}

机构：

[1] Beijing Univ Technol, Fac Sci, PingLeYuan 100, Beijing 100124, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 02期

关键词：

stochastic Brinkman-Forchheimer equation; unbounded domains; random attractors; REACTION-DIFFUSION EQUATIONS; GLOBAL ATTRACTORS; STOKES EQUATIONS; EXISTENCE;

D O I：

10.3934/era.2023045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the asymptotic behavior of the stochastic three dimensional Brinkman-Forchheimer equations in some unbounded domains. We first define a continuous random dynamical system for the equations. Then by J. Ball’s idea of energy equations, we obtain pullback asymptotic compactness of solutions and prove that the existence of a unique random attractor for the equations © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)

引用

页码：904 / 927

页数：24

共 25 条

[1] On the Kneser property for reaction-diffusion equations in some unbounded domains with an H-1-valued non-autonomous forcing term
Anguiano, M.
Morillas, F.
Valero, J.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2623 - 2636
[2] Anguiano M., 2010, SEMA J, V51, P9, DOI [10.1007/BF03322548, DOI 10.1007/BF03322548]
[3] Pullback Attractors for a Reaction-Diffusion Equation in a General Nonempty Open Subset of RN with Nonautonomous Forcing Term in H-1
Anguiano, Maria
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (12):
[4] Arnold L, 1995, LECT NOTES MATH, V1609, P1
[5] Ball JM, 2004, DISCRETE CONT DYN-A, V10, P31
[6] Random attractors for stochastic reaction-diffusion equations on unbounded domains
Bates, Peter W.
Lu, Kening
Wang, Bixiang
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (02) : 845 - 869
[7] Attractors for Stochastic lattice dynamical systems
Bates, PW
Lisei, H
Lu, KN
[J]. STOCHASTICS AND DYNAMICS, 2006, 6 (01) : 1 - 21
[8] Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
Brzezniak, Z.
Caraballo, T.
Langa, J. A.
Li, Y.
Lukaszewicz, G.
Real, J.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (11) : 3897 - 3919
[9] Asymptotic compactness and absorbing sets for 2D stochastic Navier- Stokes equations on some unbounded domains
Brzezniak, Zdzislaw
Li, Yuhong
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (12) : 5587 - 5629
[10] Random attractors
Crauel H.
Debussche A.
Flandoli F.
[J]. Journal of Dynamics and Differential Equations, 1997, 9 (2) : 307 - 341

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