Some properties of a class of abstract stationary equations

DOI10.1016/j.na.2005.07.040zbMath1104.35043OpenAlexW2072723758MaRDI QIDQ2489503

Elder Jesús Villamizar-Roa, Marko A. Rojas-Medar, Maria Angeles Rodríguez-Bellido

Publication date: 28 April 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/26760

zbMATH Keywords

micropolar fluidsNavier-Stokes equationBoussinesq equationsstationary solutionsabstract nonlinear equations in Hilbert space

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Functional equations for functions with more general domains and/or ranges (39B52) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

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Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics.
• Some application of the implicit function theorem to the stationary Navier-Stokes equations
• Structure of the set of stationary solutions of the navier‐stokes equations
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• An Infinite Dimensional Version of Sard's Theorem
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