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

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	358-372
Number of pages	15
Journal	Mathematical Methods in the Applied Sciences
Volume	33
Issue number	3
DOIs	https://doi.org/10.1002/mma.1178
State	Published - Feb 2010
Externally published	Yes

Keywords

Existence
Regularity theory
Stokes and Navier-Stokes equations
Uniqueness

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10.1002/mma.1178

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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",

month = feb,

doi = "10.1002/mma.1178",

language = "English",

volume = "33",

pages = "358--372",

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T1 - Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains

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

IS - 3

ER -

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

Abstract

Keywords

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