Benoit Desjardins, María J. Esteban, Céline Grandmont, Patrick Le Tallec (2001)
Revista Matemática Complutense
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The purpose of this paper is to study a model coupling an incompressible viscous fiuid with an elastic structure in a bounded container. We prove the existence of weak solutions à la Leray as long as no collisions occur.
Mariarosaria Padula (1993)
Commentationes Mathematicae Universitatis Carolinae
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We prove existence and a representation formula for solutions to the equations describing steady flows of an isothermal, viscous, compressible gas having a positive infimum for the density , moving in an exterior domain, when the speed of the obstacle and the external forces are sufficiently small.
Feireisl, Eduard, Málek, Josef (2006)
Differential Equations & Nonlinear Mechanics
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Josef Málek, Jindřich Nečas, Antonín Novotný (1992)
Czechoslovak Mathematical Journal
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Christophe Lacave (2009)
Journées Équations aux dérivées partielles
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We present here the results concerning the influence of a thin obstacle on the behavior of incompressible flow. We extend the works made by Itimie, Lopes Filho, Nussenzveig Lopes and Kelliher where they consider that the obstacle shrinks to a point. We begin by working in two-dimension, and thanks to complex analysis we treat the case of ideal and viscous flows around a curve. Next, we consider three-dimensional viscous flow in the exterior of a surface/curve. We finish by giving uniqueness...