Artículo
On the uniqueness of weak solutions of the two-dimensional primitive equations
Autor/es | Bresch, Didier
Guillén González, Francisco Manuel Masmoudi, Nader Rodríguez Bellido, María Ángeles |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2003-01 |
Fecha de depósito | 2016-04-22 |
Publicado en |
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Resumen | The uniqueness of weak solutions of the primitive equations with Dirichlet boundary conditions at the bottom is an open problem even in the two dimensional case. The aim of this paper is to prove the uniqueness of weak ... The uniqueness of weak solutions of the primitive equations with Dirichlet boundary conditions at the bottom is an open problem even in the two dimensional case. The aim of this paper is to prove the uniqueness of weak solutions when we replace the Dirichlet boundary condition at the bottom by a friction condition. With this boundary condition at the bottom, we establish an additional regularity result for the vertical derivative of the horizontal velocity which allows us to conclude the uniqueness of weak solutions. |
Agencias financiadoras | Comisión Interministerial de Ciencia y Tecnología (CICYT). España |
Identificador del proyecto | MAR98–0486 |
Cita | Bresch, D., Guillén González, F.M., Masmoudi, N. y Rodríguez Bellido, M.Á. (2003). On the uniqueness of weak solutions of the two-dimensional primitive equations. |
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