Repositorio de producción científica de la Universidad de Sevilla

Analysis of the hydrostatic approximation in oceanography with compression term

Opened Access Analysis of the hydrostatic approximation in oceanography with compression term
Estadísticas
Icon
Exportar a
Autor: Chacón Rebollo, Tomás
Lewandowski, Roger
Chacón Vera, Eliseo
Departamento: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Fecha: 2000
Publicado en: ESAIM: Mathematical Modelling and Numerical Analysis, 34 (3), 525-537.
Tipo de documento: Artículo
Resumen: The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain in use, an ocean, and it is usually studied as such. We consider in this paper an equivalent formulation to this hydrostatic approximation that includes Coriolis force and an additional pressure term that comes from taking into account the pressure in the state equation for the density. It therefore models a slight dependence of the density upon compression terms. We study this model as an independent mathematical object and prove an existence theorem by means of a mixed variational formulation. The proof uses a family of finite element spaces to discretize the problem coupled with a limit process that yields the solution. We finish this paper with an existence and uniqueness result for the evolutionary linear problem associated to this model. This problem includes the...
[Ver más]
Cita: Chacón Rebollo, T., Lewandowski, R. y Chacón Vera, E. (2000). Analysis of the hydrostatic approximation in oceanography with compression term. ESAIM: Mathematical Modelling and Numerical Analysis, 34 (3), 525-537.
Tamaño: 1.350Mb
Formato: PDF

URI: http://hdl.handle.net/11441/47491

Ver versión del editor

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones