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We present a model of coupling between a point wise particle and acompressible inviscid fluid following the Euler equations. The interactionbetween the fluid and the particle is achieved through a drag force. It writesas the product of a discontinuous function and a Dirac measure. After definingthe solution, we solve the Riemann problem with a fixed particle for arbitrarydata. We exhibit a set of condition on the drag force under which there existsa unique self-similar solution.

Riemann problem for a particle-fluid coupling