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Strong Solutions to the Problem of Motion of a Rigid Body in a Navier—Stokes Liquid under the Action of Prescribed Forces and Torques

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Nonlinear Problems in Mathematical Physics and Related Topics I

Part of the book series: International Mathematical Series ((IMAT,volume 1))

Abstract

This paper is devoted to the motion of a rigid body in an infinite Navier-Stokes liquid under the action of external forces and torques. For sufficiently regular data, we prove the existence of a local strong solution to the corresponding initial-boundary-value problem for the system body-liquid.

The work is supported by the NSF (grant no. DMS-0103970).

A good part of this paper was written when the author was visiting the Department of Mechanical Engineering of the University of Pittsburgh. She would like to thank the Fundação para a Ciência e a Tecnologia for financial support.

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Authors
  1. Giovanni P. Galdi
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  2. Ana L. Silvestre
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Editor information

Editors and Affiliations

  1. St. Petersburg University, St. Petersburg, Russia

    Michael Sh. Birman  & Nina N. Uraltseva  & 

  2. University of Bonn, Bonn, Germany

    Stefan Hildebrandt

  3. Steklov Institute of Mathematics RAS, St. Petersburg, Russia

    Vsevolod A. Solonnikov

Additional information

Dedicated to Professor O. A. Ladyzhenskaya on her jubilee, in sincere appreciation of her seminal contribution to the mathematical theory of the Navier-Stokes equations

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Galdi, G.P., Silvestre, A.L. (2002). Strong Solutions to the Problem of Motion of a Rigid Body in a Navier—Stokes Liquid under the Action of Prescribed Forces and Torques. In: Birman, M.S., Hildebrandt, S., Solonnikov, V.A., Uraltseva, N.N. (eds) Nonlinear Problems in Mathematical Physics and Related Topics I. International Mathematical Series, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0777-2_8

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  • DOI: https://doi.org/10.1007/978-1-4615-0777-2_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5234-1

  • Online ISBN: 978-1-4615-0777-2

  • eBook Packages: Springer Book Archive

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