The resolution of the Navier-Stokes equations in anisotropic spaces

Autores: Dragos Iftimie
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 15, Nº 1, 1999, págs. 1-36
Idioma: inglés
DOI: 10.4171/rmi/248
Títulos paralelos:
- Resolución de las ecuaciones de Navier-Stokes en espacios anisotrópicos
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Resumen
- In this paper we prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are Hdi in the i-th direction, d1 + d2 + d3 = 1/2, -1/2 < di < 1/2 and in a space which is L2 in the first two directions and B2,11/2 in the third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.