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

Revista Matemática Iberoamericana (1996)

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

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topBarraza, 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 -