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

Revista Matemática Iberoamericana (1997)

- Volume: 13, Issue: 3, page 515-541
- ISSN: 0213-2230

## Access Full Article

top## Abstract

top## How to cite

topCannone, Marco. "A generalization of a theorem by Kato on Navier-Stokes equations.." Revista Matemática Iberoamericana 13.3 (1997): 515-541. <http://eudml.org/doc/39533>.

@article{Cannone1997,

abstract = {We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,∞);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.},

author = {Cannone, Marco},

journal = {Revista Matemática Iberoamericana},

keywords = {Ecuaciones de Navier-Stokes; Problema de Cauchy; Teorema de existencia; Resolución de problemas; Navier-Stokes equation; self-similar solution},

language = {eng},

number = {3},

pages = {515-541},

title = {A generalization of a theorem by Kato on Navier-Stokes equations.},

url = {http://eudml.org/doc/39533},

volume = {13},

year = {1997},

}

TY - JOUR

AU - Cannone, Marco

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

JO - Revista Matemática Iberoamericana

PY - 1997

VL - 13

IS - 3

SP - 515

EP - 541

AB - We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,∞);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.

LA - eng

KW - Ecuaciones de Navier-Stokes; Problema de Cauchy; Teorema de existencia; Resolución de problemas; Navier-Stokes equation; self-similar solution

UR - http://eudml.org/doc/39533

ER -

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.