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arXiv · 2103.08762

Motion of a rigid body in a compressible Fluid with Navier-slip boundary condition

S. Necasova·M. Ramaswamy·A. Roy·A. Schlomerkemper
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Abstract

In this work, we study the motion of a rigid body in a bounded domain which is filled with a compressible isentropic fluid. We consider the Navier-slip boundary condition at the interface as well as at the boundary of the domain. This is the first mathematical analysis of a compressible fluid-rigid body system where Navier-slip boundary conditions are considered. We prove existence of a weak solution of the fluid-structure system up to collision.

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S. Necasova, M. Ramaswamy, A. Roy, A. Schlomerkemper. 2021-03-15. Motion of a rigid body in a compressible Fluid with Navier-slip boundary condition. https://arxiv.org/abs/2103.08762

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