Self-similar solutions in weak Lp-spaces of the Navier-Stokes equations.

Oscar A. Barraza

Revista Matemática Iberoamericana (1996)

  • Volume: 12, Issue: 2, page 411-439
  • ISSN: 0213-2230

Abstract

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The most important result stated in this paper is a theorem on the existence of global solutions for the Navier-Stokes equations in Rn when the initial velocity belongs to the space weak Ln(Rn) with a sufficiently small norm. Furthermore, this fact leads us to obtain self-similar solutions if the initial velocity is, besides, an homogeneous function of degree -1. Partial uniqueness is also discussed.

How to cite

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Barraza, Oscar A.. "Self-similar solutions in weak Lp-spaces of the Navier-Stokes equations.." Revista Matemática Iberoamericana 12.2 (1996): 411-439. <http://eudml.org/doc/39504>.

@article{Barraza1996,
abstract = {The most important result stated in this paper is a theorem on the existence of global solutions for the Navier-Stokes equations in Rn when the initial velocity belongs to the space weak Ln(Rn) with a sufficiently small norm. Furthermore, this fact leads us to obtain self-similar solutions if the initial velocity is, besides, an homogeneous function of degree -1. Partial uniqueness is also discussed.},
author = {Barraza, Oscar A.},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones diferenciales en derivadas parciales; Ecuaciones de Navier-Stokes; Corriente de fluidos; Turbulencia; Ondículas; existence; global solutions; Navier-Stokes equations; self-similar solutions; initial velocity; uniqueness},
language = {eng},
number = {2},
pages = {411-439},
title = {Self-similar solutions in weak Lp-spaces of the Navier-Stokes equations.},
url = {http://eudml.org/doc/39504},
volume = {12},
year = {1996},
}

TY - JOUR
AU - Barraza, Oscar A.
TI - Self-similar solutions in weak Lp-spaces of the Navier-Stokes equations.
JO - Revista Matemática Iberoamericana
PY - 1996
VL - 12
IS - 2
SP - 411
EP - 439
AB - The most important result stated in this paper is a theorem on the existence of global solutions for the Navier-Stokes equations in Rn when the initial velocity belongs to the space weak Ln(Rn) with a sufficiently small norm. Furthermore, this fact leads us to obtain self-similar solutions if the initial velocity is, besides, an homogeneous function of degree -1. Partial uniqueness is also discussed.
LA - eng
KW - Ecuaciones diferenciales en derivadas parciales; Ecuaciones de Navier-Stokes; Corriente de fluidos; Turbulencia; Ondículas; existence; global solutions; Navier-Stokes equations; self-similar solutions; initial velocity; uniqueness
UR - http://eudml.org/doc/39504
ER -

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