Analysis of a three field formulation for the Stokes Equations induced by non standard boundary conditions

  1. Mohamed Amara 1
  2. Eliseo Chacón Vera 2
  3. David Trujillo 1
  1. 1 IPRA-LMA Université de Pau et des Pay de l’Adour, France.
  2. 2 Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla
Libro:
XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001
  1. Luis Ferragut (coord.)
  2. Anastasio Santos (coord.)

Editorial: Universidad de Salamanca

ISBN: 8469961446

Año de publicación: 2001

Páginas: 581-582

Congreso: Congreso de Ecuaciones Diferenciales y Aplicaciones (17. 2001. Salamanca)

Tipo: Aportación congreso

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Resumen

This note deals with the boundary value problem for Stokes equations on a two dimensional polygonal domain when non standard boundary conditions are given. We consider the cases when pressure and normal or tangential components of the velocity are given in different parts of the boundary and solve the problem with a minimal regularity. We introduce the variational mixed formulation of the problem appropriated to the given boundary conditions. In this formulation the principal unknowns are the pressure and the vorticity and the multiplier is the velocity.

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