Some properties of a class of abstract stationary equations

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 Nav...

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Veröffentlicht in:Nonlinear analysis 2006-05, Vol.64 (10), p.2203-2214
Hauptverfasser: Villamizar-Roa, E.J., Rodríguez-Bellido, M.A., Rojas-Medar, M.A.
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container_title Nonlinear analysis
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creator Villamizar-Roa, E.J.
Rodríguez-Bellido, M.A.
Rojas-Medar, M.A.
description 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.
doi_str_mv 10.1016/j.na.2005.07.040
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subjects Abstract nonlinear equations
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Global analysis, analysis on manifolds
Hydrodynamics
Mathematics
Physics
Sciences and techniques of general use
Stationary solutions
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
title Some properties of a class of abstract stationary equations
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