Study of the scalar oseen equation

Autores: U. Razafison, Chérif Amrouche
Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort , 2003, ISBN 84-96214-04-4, págs. 57-64
Idioma: inglés
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Resumen
- This paper is devoted to the scalar Oseen equation, a linearized form of the Navier- Stokes equations. Because of the various decay properties in various directions of RN, the problem is set in Sobolev spaces with anisotropic weights. In a first step, some weighted Hardy-type inequalities are obtained, which yield some norm equivalences. In a second step, we establish existence results.