Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system

doi:10.1088/1361-6544/ac3145

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	Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system
	Luo,Dejun1,2
	2021-11-05
发表期刊	Nonlinearity
ISSN	0951-7715
卷号	34 期号:12
摘要	Abstract The inviscid 2D Boussinesq system with thermal diffusivity and multiplicative noise of transport type is studied in the L 2-setting. It is shown that, under a suitable scaling of the noise, weak solutions to the stochastic 2D Boussinesq equations converge weakly to the unique solution of the deterministic viscous Boussinesq system. Consequently, the transport noise asymptotically regularises the inviscid 2D Boussinesq system and enhances dissipation in the limit.
关键词	2D Boussinesq system vorticity formulation transport noise weak convergence 60H15 35Q35
DOI	10.1088/1361-6544/ac3145
语种	英语
WOS记录号	IOP:non_34_12_8311
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59134
专题	应用数学研究所
通讯作者	Luo,Dejun
作者单位	1.Key Laboratory of RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, People’s Republic of China 2.School of Mathematical Sciences, University of the Chinese Academy of Sciences, Beijing, People’s Republic of China
推荐引用方式 GB/T 7714	Luo,Dejun. Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system[J]. Nonlinearity,2021,34(12).
APA	Luo,Dejun.(2021).Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system.Nonlinearity,34(12).
MLA	Luo,Dejun."Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system".Nonlinearity 34.12(2021).