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Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

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

Pages: 511 - 529, Volume 34, Issue 2, February 2014      doi:10.3934/dcds.2014.34.511

 
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Reinhard Farwig - Department of Mathematics and Center of Smart Interfaces (CSI), Technische Universität Darmstadt, 64289 Darmstadt, Germany (email)
Ronald B. Guenther - Department of Mathematics, Oregon State University, Corvallis, OR 97331, United States (email)
Enrique A. Thomann - Department of Mathematics, Oregon State University, Corvallis, OR 97331, United States (email)
Šárka Nečasová - Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic (email)

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:  Fundamental solution, linearized problem, Navier-Stokes problem, rotating body, translating body, wake.
Mathematics Subject Classification:  Primary: 35Q30, 76D07; Secondary: 35A08, 35Q35, 76D05.

Received: July 2012;      Revised: April 2013;      Available Online: August 2013.

 References