Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes

We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution. Under suitable conditions we solve the stochastic problem and prove that simultaneously we obtain a weak (generalized) solution to the Cauchy problem...

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Autores principales: Albeverio,S, Belopolskaya,Ya
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200006
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spelling oai:scielo:S0719-064620100002000062018-10-08Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processesAlbeverio,SBelopolskaya,Ya Stochastic flows diffusion processes nonlinear parabolic equations Cauchy problem We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution. Under suitable conditions we solve the stochastic problem and prove that simultaneously we obtain a weak (generalized) solution to the Cauchy problem for the Navier-Stokes system.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.2 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200006en10.4067/S0719-06462010000200006
institution Scielo Chile
collection Scielo Chile
language English
topic Stochastic flows
diffusion processes
nonlinear parabolic equations
Cauchy problem
spellingShingle Stochastic flows
diffusion processes
nonlinear parabolic equations
Cauchy problem
Albeverio,S
Belopolskaya,Ya
Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
description We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution. Under suitable conditions we solve the stochastic problem and prove that simultaneously we obtain a weak (generalized) solution to the Cauchy problem for the Navier-Stokes system.
author Albeverio,S
Belopolskaya,Ya
author_facet Albeverio,S
Belopolskaya,Ya
author_sort Albeverio,S
title Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
title_short Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
title_full Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
title_fullStr Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
title_full_unstemmed Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
title_sort generalized solutions of the cauchy problem for the navier-stokes system and diffusion processes
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200006
work_keys_str_mv AT albeverios generalizedsolutionsofthecauchyproblemforthenavierstokessystemanddiffusionprocesses
AT belopolskayaya generalizedsolutionsofthecauchyproblemforthenavierstokessystemanddiffusionprocesses
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