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

Cannone, 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 -