On the motion of several rigid bodies in an incompressible non-Newtonian fluid

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Published 1 May 2008 • 2008 IOP Publishing Ltd and London Mathematical Society
, , Citation Eduard Feireisl et al 2008 Nonlinearity 21 1349 DOI 10.1088/0951-7715/21/6/012

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Author affiliations

1 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

2 Université de Toulouse, IMT équipe MIP, 118, route de Narbonne, 31062 Toulous cedex, France

Dates

  1. Received 9 January 2008
  2. Published

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0951-7715/21/6/1349

Abstract

The global existence of weak solutions is proved for the problem of the motion of one or several rigid bodies immersed in a non-Newtonian fluid of power-law type. The result is based on the fact that possible collisions of two rigid objects are outset by the phenomenon of shear thickening. The key ingredient of the proof is the strong convergence of the velocity gradients achieved by means of the method of pressure localization.

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10.1088/0951-7715/21/6/012