On the motion of rigid bodies in an incompressible or compressible viscousfluid under the action of gravitational forces

Bernard Ducomet; Šárka Nečasová

doi:10.3934/dcdss.2013.6.1193

Article Contents

2013, Volume 6, Issue 5: 1193-1213. Doi: 10.3934/dcdss.2013.6.1193

This issue Previous Article On the global regularity for nonlinear systems of the $p$-Laplacian type Next Article Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains

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

Bernard Ducomet^1, and
Šárka Nečasová^2,

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

Received: November 30, 2011

Revised: March 31, 2012

Published: September 2013

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Abstract

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.

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Mathematics Subject Classification: 35Q30, 65N30, 76D05, 76N10.

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