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Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • S. Kračmar

    (Czech Technical University, Department of Technical Mathematics)

  • S. Nečasová

    (Mathematical Institute ASCR)

  • P. Penel

    (University of Sud Toulon-Var, Department of Mathematics)

Abstract

Over the past years, there has been a great impulse in studying the motion of a rigid body. This is a fascinating area of new problems for theory and numerical investigation. We would like to mention some historical attempt of this problem. The first systematic study on this subject initiated with the pioneering work of Kirchhoff [17], Lord Kelvin [28] regarding the motion of one or more bodies in a frictionless liquid. After that many mathematicians have furnished significant contributions to this fascinating field under different assumptions on the body and on the fluid. We wish to quote the work of Brenner [1] concerning the steady motion of one or more bodies in a linear viscous liquid in the Stokes approximation.Weinberger [30], [31] and Serre [25] regarding the fall of a body in an incompressible Navier–Stokes fluid under the action of gravity. Recently see e.g. Galdi and Silvestre [12], Farwig et al. [4], Farwig [2], [3], Hishida [20]–[22], Hieber et al. [16], Kračmar et al. [18], [19], Farwig et al. [5], [6], Farwig et al. [8].

Suggested Citation

  • S. Kračmar & S. Nečasová & P. Penel, 2008. "Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 775-782, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_79
    DOI: 10.1007/978-3-540-75712-2_79
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