Uniqueness results for weak solutions of two-dimensional fluid-solid systems
Sueur, Franck; Glass, Olivier (2015), Uniqueness results for weak solutions of two-dimensional fluid-solid systems, Archive for Rational Mechanics and Analysis, 218, 2, p. 907-944. 10.1007/s00205-015-0876-8
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00678687
Journal nameArchive for Rational Mechanics and Analysis
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Abstract (EN)In this paper, we consider two systems modelling the evolution of a rigid body in an incompressible fluid in a bounded domain of the plane. The first system corresponds to an inviscid fluid driven by the Euler equation whereas the other one corresponds to a viscous fluid driven by the Navier-Stokes system. In both cases we investigate the uniqueness of weak solutions, "à la Yudovich" for the Euler case, "à la Leray" for the Navier-Stokes case, as long as no collision occurs.
Subjects / Keywordsfluid-solid systems; Uniqueness of solutions; weak solutions
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