A generalization of a theorem by Kato on Navier-Stokes equations

Autores: Marco Cannone
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 13, Nº 3, 1997, págs. 515-542
Idioma: inglés
DOI: 10.4171/rmi/229
Títulos paralelos:
- Generalización de un teorema de Kato sobre las ecuaciones de Navier-Stokes.
Enlaces
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Resumen
- We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,8);L3(R3)). More precisely, we show that if the initial data are sufficiently oscillating, in a suitable Besov space, then Kato's solution exists globally. As a corollary to this result, we obtain a theory of existence of self-similar solutions for the Navier-Stokes equations.