Existence and uniqueness of solutions, and pullback attractor for a system of globally modified 3D-Navier-Stokes equations with finite delay

We first study the existence and uniqueness of strong solutions of a three dimensional system of globally modified Navier-Stokes equations with finite delay in the locally Lipschitz case. The asymptotic behaviour of solutions, and the existence of pullback attractor are also analyzed.

Detalles Bibliográficos
Autor: Márquez Durán, Antonio Miguel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42622
Acceso en línea:http://hdl.handle.net/11441/42622
https://doi.org/10.1007/BF03322562
Access Level:acceso abierto
Palabra clave:3-dimensional Navier-Stokes equations
Galerkin approximations
weak solutions
existence and uniqueness of strong solutions
pullback attractors
Descripción
Sumario:We first study the existence and uniqueness of strong solutions of a three dimensional system of globally modified Navier-Stokes equations with finite delay in the locally Lipschitz case. The asymptotic behaviour of solutions, and the existence of pullback attractor are also analyzed.