On the existence of global strong solutions to the equations modeling a motion of a rigid body around a viscous fluid

Šárka Nečasová; Joerg  Wolf

doi:10.3934/dcds.2016.36.1539

Article Contents

2016, Volume 36, Issue 3: 1539-1562. Doi: 10.3934/dcds.2016.36.1539

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On the existence of global strong solutions to the equations modeling a motion of a rigid body around a viscous fluid

Šárka Nečasová^1, and
Joerg Wolf^2,

1.
Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1
2.
Department of Mathematics, Humboldt University Berlin, Unter den Linden 6, 10099 Berlin

Received: August 2014

Revised: June 2015

Published: May 2017

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Abstract

The paper deals with the global existence of strong solution to the equations modeling a motion of a rigid body around viscous fluid. Moreover, the estimates of second gradients of velocity and pressure are given.

Keywords:

Incompressible fluid,
motion of rigid body,
strong solutions,
estimates of second gradient of velocity field,
estimate of second gradient of the pressure.

Mathematics Subject Classification: Primary: 35Q35, 76D05.

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