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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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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 |
_version_ |
1714206765697990656 |