On the Oseen Semigroup with Rotating Effect

Yoshihiro Shibata ()
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Yoshihiro Shibata: Waseda University, Department of Mathematics

A chapter in Functional Analysis and Evolution Equations, 2007, pp 595-611 from Springer

Abstract: 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.

Keywords: C 0 semigroup; L p -L q estimate; local energy decay; rotating body; exterior domain; Oseen equations (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_36

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DOI: 10.1007/978-3-7643-7794-6_36

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