Cruzeiro Ana Bela1; Liu Guoping2
Source Publicationactamathematicasinicaenglishseries
AbstractWe 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.
Document Type期刊论文
Affiliation1.GFMUL and Dep. de Matematica Instituto Superior Tecnico
Recommended Citation
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.
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