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On the Oseen Semigroup with Rotating Effect

In: Functional Analysis and Evolution Equations

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  • Yoshihiro Shibata

    (Waseda University, Department of Mathematics)

Abstract

This paper is concerned with the generation of C 0 semigroup associated with the Oseen equation with rotating effect and its L p -L q decay estimate. The theorems presented in this paper give us one of the key steps in order to show a globally in time existence of solutions to the Navier-Stokes equations describing the motion of viscous incompressible fluid flow past a rotating rigid body.

Suggested Citation

  • Yoshihiro Shibata, 2007. "On the Oseen Semigroup with Rotating Effect," Springer Books, in: Herbert Amann & Wolfgang Arendt & Matthias Hieber & Frank M. Neubrander & Serge Nicaise & Joachim vo (ed.), Functional Analysis and Evolution Equations, pages 595-611, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-7794-6_36
    DOI: 10.1007/978-3-7643-7794-6_36
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