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Journal Articles SIAM Journal on Mathematical Analysis Year : 2017

Fluid-rigid structure interaction system with Coulomb's law


We propose a new model in a fluid-structure system composed by a rigid body and a viscous incompress-ible fluid using a boundary condition based on Coulomb's law. This boundary condition allows the fluid to slip on the boundary if the tangential component of the stress is too large. In the opposite case, we recover the standard Dirichlet boundary condition. The governing equations are the Navier-Stokes system for the fluid and the Newton laws for the body. The corresponding coupled system can be written as a variational inequality. We prove that there exists a weak solution of this system.
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hal-01386574 , version 1 (24-10-2016)



Loredana Bălilescu, Jorge San Martín, Takéo Takahashi. Fluid-rigid structure interaction system with Coulomb's law. SIAM Journal on Mathematical Analysis, 2017, 49 (6), pp.4625-4657. ⟨10.1137/16M1099947⟩. ⟨hal-01386574⟩
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