# American Institute of Mathematical Sciences

October  2013, 6(5): 1193-1213. doi: 10.3934/dcdss.2013.6.1193

## On the motion of rigid bodies in an incompressible or compressible viscous fluid under the action of gravitational forces

 1 CEA, DAM, DIF, F-91297 Arpajon, France 2 Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

Received  December 2011 Revised  April 2012 Published  March 2013

The global existence of weak solutions is proved for the problem of the motion of several rigid bodies either in a non-Newtonian fluid of power law type or in a barotropic compressible fluid, under the influence of gravitational forces.
Citation: Bernard Ducomet, Šárka Nečasová. On the motion of rigid bodies in an incompressible or compressible viscous fluid under the action of gravitational forces. Discrete & Continuous Dynamical Systems - S, 2013, 6 (5) : 1193-1213. doi: 10.3934/dcdss.2013.6.1193
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