Asymptotic and numerical methods for fluid-structure interaction problems and applications to the materials science and engineering

Key words and phrases : Navier-Stokes, Camassa-Holm, Lagrange Averaged alpha, stochastic partial differential equations, vesicle, fluid, interaction model.. ∗ CNRS, Fédération

The system consists of coupling the incompressible Navier-Stokes equations, in a two dimensional polygonal domain with mixed boundary conditions, and a damped Euler-Bernoulli

In this paper we are interested in the existence of time-periodic solutions for a fluid–structure sys- tem involving the incompressible Navier–Stokes equations coupled with a

convergence methods, of Brinkman’s law which describes the asymptotic behaviour of a viscous and incompressible fluid flowing through porous media with periodic

Valves, fluid structure interaction, Arbitrary Lagrangian Eulerian, Fictitious Domain, Lagrange multipliers, partitioned coupling algorithm, multi-body contact, semi-implicit

Key words: fluid structure interactions, anisotropic mesh adaptation, time adaptation, monolothic approach, incompressible flows, heat transfer, stabilized finite element

Key-words: fluid-structure interaction, incompressible fluid, unfitted meshes, fictitious domain method, Nitsche method, coupling schemes.. We would like to thank the reviewers of

Fluid-Structure interaction, compliant walls, finite element method, convergence analysis, Navier-Stokes equations, blood flow.. AMS