Numerical analysis of the PSI solution of advection–diffusion problems through a Petrov–Galerkin formulation

We consider a system composed by two immiscible fluids in two-dimensional space that can be modelized by a bilayer Shallow Water equations with extra friction terms and capillary effects. We give an existence theorem of global weak solutions in a periodic domain.

Detalles Bibliográficos
Autores: Chacón Rebollo, Tomás, Gómez Mármol, María Macarena, Narbona Reina, Gladys
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/32516
Acceso en línea:http://hdl.handle.net/11441/32516
https://doi.org/10.1142/S0218202507002510
Access Level:acceso abierto
Palabra clave:Fluctuation splitting schemes
Finite element
convection–diffusion problem
Descripción
Sumario:We consider a system composed by two immiscible fluids in two-dimensional space that can be modelized by a bilayer Shallow Water equations with extra friction terms and capillary effects. We give an existence theorem of global weak solutions in a periodic domain.