Mathematical study of singular perturbation problems Applications to large-scale oceanography
Laure Saint-Raymond (2010)
Journées Équations aux dérivées partielles
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Laure Saint-Raymond (2010)
Journées Équations aux dérivées partielles
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Eduard Feireisl, Šárka Matušů-Nečasová (2011)
Applications of Mathematics
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The Navier-Stokes system is studied on a family of domains with rough boundaries formed by oscillating riblets. Assuming the complete slip boundary conditions we identify the limit system, in particular, we show that the limit velocity field satisfies boundary conditions of a mixed type depending on the characteristic direction of the riblets.
Pažanin, Igor (2009)
Mathematical Problems in Engineering
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Pažanin, Igor (2011)
Mathematical Problems in Engineering
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Steven Schochet (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.
Ayman Kachmar (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from the interface of two superconductors. The critical applied magnetic field for vortex nucleation is estimated in the London singular limit, and as a by-product, results concerning vortex-pinning and boundary conditions on the interface are obtained. ...
Eduard Feireisl (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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In this note, we discuss several recently developed methods for studying stability of a singular limit process with respect to the shape of the underlying physical space. As a model example, we consider a compressible viscous barotropic fluid occupying a spatial domain . In what follows, we describe two rather different problems: (i) the choice of effective boundary conditions; (ii) the fluid flow in the low Mach number regime. In the remaining part of the paper, we analyze these two...