A Stochastic Variational Approach to Viscous Burgers Equations

doi:10.1007/s10114-016-5773-z

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	A Stochastic Variational Approach to Viscous Burgers Equations
	Cruzeiro, Ana Bela 1,2; Liu, Guo Ping 1,2,3
	2016-09-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	32 期号:9 页码:1027-1034
摘要	We consider viscous Burgers equations in one dimension of space and derive their solutions from stochastic variational principles on the corresponding group of homeomorphisms. The metrics considered on this group are L-p metrics. The velocity corresponds to the drift of some stochastic Lagrangian processes. Existence of minima is proved in some cases by direct methods. We also give a representation of the solutions of viscous Burgers equations in terms of stochastic forward-backward systems.
关键词	Burgers equations stochastic variational principles Lagrangian diffusions
DOI	10.1007/s10114-016-5773-z
语种	英语
资助项目	State Scholarship Fund of China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000382001900003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23502
专题	中国科学院数学与系统科学研究院
通讯作者	Cruzeiro, Ana Bela
作者单位	1.Univ Lisbon, Inst Super Tecn, GFMUL, Av Rovisco Pais, P-1049001 Lisbon, Portugal 2.Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cruzeiro, Ana Bela,Liu, Guo Ping. A Stochastic Variational Approach to Viscous Burgers Equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2016,32(9):1027-1034.
APA	Cruzeiro, Ana Bela,&Liu, Guo Ping.(2016).A Stochastic Variational Approach to Viscous Burgers Equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,32(9),1027-1034.
MLA	Cruzeiro, Ana Bela,et al."A Stochastic Variational Approach to Viscous Burgers Equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 32.9(2016):1027-1034.