Uniqueness Results for Weak Solutions of Two-Dimensional Fluid-Solid Systems

Verfasser / Beitragende:
[Olivier Glass, Franck Sueur]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 218/2(2015-11-01), 907-944
Format:
Artikel (online)
ID: 605516030
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024 7 0 |a 10.1007/s00205-015-0876-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00205-015-0876-8 
245 0 0 |a Uniqueness Results for Weak Solutions of Two-Dimensional Fluid-Solid Systems  |h [Elektronische Daten]  |c [Olivier Glass, Franck Sueur] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
700 1 |a Glass  |D Olivier  |u CEREMADE, UMR CNRS 7534, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France  |4 aut 
700 1 |a Sueur  |D Franck  |u Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 351 cours de la Libération, 33405, Talence Cedex, France  |4 aut 
773 0 |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 218/2(2015-11-01), 907-944  |x 0003-9527  |q 218:2<907  |1 2015  |2 218  |o 205 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Glass  |D Olivier  |u CEREMADE, UMR CNRS 7534, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sueur  |D Franck  |u Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 351 cours de la Libération, 33405, Talence Cedex, France  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 218/2(2015-11-01), 907-944  |x 0003-9527  |q 218:2<907  |1 2015  |2 218  |o 205