Linearized stationary incompressible flow around rotating and translating bodies -- Leray solutions

Paul Deuring; Stanislav Kračmar; Šárka Nečasová

doi:10.3934/dcdss.2014.7.967

Article Contents

2014, Volume 7, Issue 5: 967-979. Doi: 10.3934/dcdss.2014.7.967

This issue Previous Article Flow-plate interactions: Well-posedness and long-time behavior Next Article Thermo-visco-elasticity for the Mróz model in the framework of thermodynamically complete systems

Linearized stationary incompressible flow around rotating and translating bodies -- Leray solutions

1.
Univ Lille Nord de France, 59000 Lille
2.
Department of Technical Mathematics, Czech Technical University, Karlovo nám. 13, 121 35 Prague 2
3.
Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1

Received: March 31, 2013

Published: September 2014

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Abstract

We consider Leray solutions of the Oseen system with rotational terms, in an exterior domain. Such solutions are characterized by square-integrability of the gradient of the velocity and local square-integrability of the pressure. In a previous paper, we had shown a pointwise decay result for a slightly stronger type of solution. Here this result is extended to Leray solutions. We thus present a second access to this result, besides the one in G. P. Galdi, M. Kyed, Arch. Rat. Mech. Anal., 200 (2011), 21-58.

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Mathematics Subject Classification: 35Q35, 76D07, 35J57.

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References

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