On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations

We prove existence and uniqueness of solutions for a stochastic version of the 3DLagrangian averaged Navier-Stokes (LANS-®) equation in a bounded domain. To this end, we previously prove some existence and uniqueness results for an abstract stochastic equation and justify that our model falls within...

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Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Real Anguas, José, Taniguchi, Takeshi
Tipo de documento: artigo
Data de publicação:2006
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23690
Acesso em linha:http://hdl.handle.net/11441/23690
https://doi.org/10.1098/rspa.2005.1574
Access Level:Acceso aberto
Palavra-chave:3D-Lagrangian averaged Navier-Stokes equations
Variational solutions
Cylindrical Wiener process
Descrição
Resumo:We prove existence and uniqueness of solutions for a stochastic version of the 3DLagrangian averaged Navier-Stokes (LANS-®) equation in a bounded domain. To this end, we previously prove some existence and uniqueness results for an abstract stochastic equation and justify that our model falls within this framework.