Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains

P. Braz E Silva; M. A. Rojas-Medar; E. J. Illamizar-Roa

doi:10.1002/mma.1178

Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains

P. Braz E Silva
, M. A. Rojas-Medar
, E. J. Illamizar-Roa

Universidade Federal de Pernambuco
Universidad del Bío-Bío
Universidad Nacional de Colombia

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

7 Citas (Scopus)

Resumen

We show the existence of strong solutions for the nonhomogeneous Navier-Stokes equations in three-dimensional domains with boundary uniformly of class C₃. Under suitable assumptions, uniqueness is also proved.

Idioma original	Inglés
Páginas (desde-hasta)	358-372
Número de páginas	15
Publicación	Mathematical Methods in the Applied Sciences
Volumen	33
N.º	3
DOI	https://doi.org/10.1002/mma.1178
Estado	Publicada - feb 2010
Publicado de forma externa	Sí

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title = "Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains",

abstract = "We show the existence of strong solutions for the nonhomogeneous Navier-Stokes equations in three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness is also proved.",

keywords = "Existence, Regularity theory, Stokes and Navier-Stokes equations, Uniqueness",

author = "\{Braz E Silva\}, P. and Rojas-Medar, \{M. A.\} and Illamizar-Roa, \{E. J.\}",

year = "2010",

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AU - Braz E Silva, P.

AU - Rojas-Medar, M. A.

AU - Illamizar-Roa, E. J.

PY - 2010/2

Y1 - 2010/2

N2 - We show the existence of strong solutions for the nonhomogeneous Navier-Stokes equations in three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness is also proved.

AB - We show the existence of strong solutions for the nonhomogeneous Navier-Stokes equations in three-dimensional domains with boundary uniformly of class C3. Under suitable assumptions, uniqueness is also proved.

KW - Existence

KW - Regularity theory

KW - Stokes and Navier-Stokes equations

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/77349092001

U2 - 10.1002/mma.1178

DO - 10.1002/mma.1178

M3 - Article

AN - SCOPUS:77349092001

SN - 0170-4214

VL - 33

SP - 358

EP - 372

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

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Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains

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