astochasticvariationalapproachtoviscousburgersequations

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	astochasticvariationalapproachtoviscousburgersequations
	Cruzeiro Ana Bela 1; Liu Guoping 2
	2016
发表期刊	actamathematicasinicaenglishseries
ISSN	1439-8516
卷号	32 期号:9 页码:1027
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/45381
专题	中国科学院数学与系统科学研究院
作者单位	1.GFMUL and Dep. de Matematica Instituto Superior Tecnico 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Cruzeiro Ana Bela,Liu Guoping. astochasticvariationalapproachtoviscousburgersequations[J]. actamathematicasinicaenglishseries,2016,32(9):1027.
APA	Cruzeiro Ana Bela,&Liu Guoping.(2016).astochasticvariationalapproachtoviscousburgersequations.actamathematicasinicaenglishseries,32(9),1027.
MLA	Cruzeiro Ana Bela,et al."astochasticvariationalapproachtoviscousburgersequations".actamathematicasinicaenglishseries 32.9(2016):1027.