caa a22 4500 605516030 CHVBK 20210128100712.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s00205-015-0876-8 doi (NATIONALLICENCE)springer-10.1007/s00205-015-0876-8 Uniqueness Results for Weak Solutions of Two-Dimensional Fluid-Solid Systems [Elektronische Daten] [Olivier Glass, Franck Sueur] 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. Springer-Verlag Berlin Heidelberg, 2015 Glass Olivier CEREMADE, UMR CNRS 7534, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France aut Sueur Franck Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 351 cours de la Libération, 33405, Talence Cedex, France aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/2(2015-11-01), 907-944 0003-9527 218:2<907 2015 218 205 https://doi.org/10.1007/s00205-015-0876-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-015-0876-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Glass Olivier CEREMADE, UMR CNRS 7534, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France aut NATIONALLICENCE 700 1- Sueur Franck Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 351 cours de la Libération, 33405, Talence Cedex, France aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/2(2015-11-01), 907-944 0003-9527 218:2<907 2015 218 205