Fluid-Structure Interaction: A Theoretical Point of View
Keywords:
existence results, Navier-Stokes, rigid bodies, elasticity, fluid-structure interactions, time discretisation, space discretisationAbstract
This paper deals with the mathematical and numerical analysis of fluid-structure interaction phenomena, and present some of the existence results that can be found on this subject. We explain the various approaches and review the technical tools required. In all cases we have a fluid interacting with a moving (rigid or deformable) structure. The fluid is supposed to be viscous (compressible or incompressible) and the fluid equations are set in an unknown, time dependent domain, determined by the structure deformations, itselves resulting from a stress applied by the fluid.
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