The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body

Reinhard Farwig; Ronald B. Guenther; Enrique A. Thomann; Šárka Nečasová

doi:10.3934/dcds.2014.34.511

Article Contents

2014, Volume 34, Issue 2: 511-529. Doi: 10.3934/dcds.2014.34.511

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The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body

1.
Department of Mathematics and Center of Smart Interfaces (CSI), Technische Universität Darmstadt, 64289 Darmstadt
2.
Department of Mathematics, Oregon State University, Corvallis, OR 97331
3.
Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1

Received: July 2012

Revised: April 2013

Published: February 2014

Abstract / Introduction Related Papers Cited by

Abstract

We derive the fundamental solution of the linearized problem of the motion of a viscous fluid around a rotating body when the axis of rotation of the body is not parallel to the velocity of the fluid at infinity.

Keywords:

Mathematics Subject Classification: Primary: 35Q30, 76D07; Secondary: 35A08, 35Q35, 76D05.

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References

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