Some properties of a class of abstract stationary equations

E. J. Villamizar-Roa; M. A. Rodríguez-Bellido; M. A. Rojas-Medar

doi:10.1016/j.na.2005.07.040

Some properties of a class of abstract stationary equations

E. J. Villamizar-Roa
, M. A. Rodríguez-Bellido
, M. A. Rojas-Medar

Universidad Industrial de Santander
University of Seville
Universidade Estadual de Campinas

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

5 Scopus citations

Abstract

We study a class of abstract nonlinear equations in a separable Hilbert space for which we prove some generic properties of the set of solutions. The results apply, in particular, in several models of hydrodynamics, such as magneto-micropolar equations, micropolar fluid equations, Boussinesq and Navier-Stokes equations.

Original language	English
Pages (from-to)	2203-2214
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	64
Issue number	10
DOIs	https://doi.org/10.1016/j.na.2005.07.040
State	Published - 15 May 2006
Externally published	Yes

Keywords

Abstract nonlinear equations
Hydrodynamics
Stationary solutions

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10.1016/j.na.2005.07.040

Cite this

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title = "Some properties of a class of abstract stationary equations",

abstract = "We study a class of abstract nonlinear equations in a separable Hilbert space for which we prove some generic properties of the set of solutions. The results apply, in particular, in several models of hydrodynamics, such as magneto-micropolar equations, micropolar fluid equations, Boussinesq and Navier-Stokes equations.",

keywords = "Abstract nonlinear equations, Hydrodynamics, Stationary solutions",

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year = "2006",

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AU - Villamizar-Roa, E. J.

AU - Rodríguez-Bellido, M. A.

AU - Rojas-Medar, M. A.

PY - 2006/5/15

Y1 - 2006/5/15

N2 - We study a class of abstract nonlinear equations in a separable Hilbert space for which we prove some generic properties of the set of solutions. The results apply, in particular, in several models of hydrodynamics, such as magneto-micropolar equations, micropolar fluid equations, Boussinesq and Navier-Stokes equations.

AB - We study a class of abstract nonlinear equations in a separable Hilbert space for which we prove some generic properties of the set of solutions. The results apply, in particular, in several models of hydrodynamics, such as magneto-micropolar equations, micropolar fluid equations, Boussinesq and Navier-Stokes equations.

KW - Abstract nonlinear equations

KW - Hydrodynamics

KW - Stationary solutions

UR - https://www.scopus.com/pages/publications/33644882521

U2 - 10.1016/j.na.2005.07.040

DO - 10.1016/j.na.2005.07.040

M3 - Article

AN - SCOPUS:33644882521

SN - 0362-546X

VL - 64

SP - 2203

EP - 2214

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 10

ER -

Some properties of a class of abstract stationary equations

Abstract

Keywords

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