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

doi:10.1088/1361-6544/ac3145

	Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system
	Luo,Dejun 1,2
刊名	Nonlinearity
	2021-11-05
卷号	34 期号:12
关键词	2D Boussinesq system vorticity formulation transport noise weak convergence 60H15 35Q35
ISSN号	0951-7715
DOI	10.1088/1361-6544/ac3145
英文摘要	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.
语种	英语
出版者	IOP Publishing
WOS记录号	IOP:NON_34_12_8311
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59133]
专题	中国科学院数学与系统科学研究院
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).