8 research outputs found
On the motion of several rigid bodies in an incompressible non-Newtonian fluid
International audienc
Influence of wall roughness on the slip behavior of viscous fluids
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On the asymptotic limit of flows past a ribbed boundary
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Effective slip law for general viscous flows over an oscillating surface
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Mathematical and Numerical Analysis of some fluid-structure interaction problems
International audienceIn this chapter we deal with some specific existence and numerical results applied to a 2D/1D fluid-structure coupled model, for an incompressible fluid and a thin elastic structure. We will try to underline some of the mathematical and numeri- cal difficulties that one may face when studying this kind of problems such as the geometrical nonlinearities or the added mass effect. In particular we will try to underline the link between the strategies of proof of weak or strong solutions and the possible algorithms to discretize these type of coupled problem
On the asymptotic limit of the Navier-Stokes system with rough boundaries
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