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.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2005.07.040