Asymptotic behavior of global solutions to the Navier-Stokes equations in R3.

Fabrice Planchon

Revista Matemática Iberoamericana (1998)

  • Volume: 14, Issue: 1, page 71-93
  • ISSN: 0213-2230

Abstract

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We construct global solutions to the Navier-Stokes equations with initial data small in a Besov space. Under additional assumptions, we show that they behave asymptotically like self-similar solutions.

How to cite

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Planchon, Fabrice. "Asymptotic behavior of global solutions to the Navier-Stokes equations in R3.." Revista Matemática Iberoamericana 14.1 (1998): 71-93. <http://eudml.org/doc/39548>.

@article{Planchon1998,
abstract = {We construct global solutions to the Navier-Stokes equations with initial data small in a Besov space. Under additional assumptions, we show that they behave asymptotically like self-similar solutions.},
author = {Planchon, Fabrice},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones de Navier-Stokes; Ecuaciones diferenciales en derivadas parciales; Espacio tridimensional; Ondículas; Cauchy problem; self-similar solution},
language = {eng},
number = {1},
pages = {71-93},
title = {Asymptotic behavior of global solutions to the Navier-Stokes equations in R3.},
url = {http://eudml.org/doc/39548},
volume = {14},
year = {1998},
}

TY - JOUR
AU - Planchon, Fabrice
TI - Asymptotic behavior of global solutions to the Navier-Stokes equations in R3.
JO - Revista Matemática Iberoamericana
PY - 1998
VL - 14
IS - 1
SP - 71
EP - 93
AB - We construct global solutions to the Navier-Stokes equations with initial data small in a Besov space. Under additional assumptions, we show that they behave asymptotically like self-similar solutions.
LA - eng
KW - Ecuaciones de Navier-Stokes; Ecuaciones diferenciales en derivadas parciales; Espacio tridimensional; Ondículas; Cauchy problem; self-similar solution
UR - http://eudml.org/doc/39548
ER -

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