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.
This work is partially supported by Grant-in-Aid for Scientific Research (B) — 15340204, Japan Society for the Promotion of Science.
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Dedicated to the memory of Günter Lumer
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Shibata, Y. (2007). On the Oseen Semigroup with Rotating Effect. In: Amann, H., Arendt, W., Hieber, M., Neubrander, F.M., Nicaise, S., von Below, J. (eds) Functional Analysis and Evolution Equations. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7794-6_36
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DOI: https://doi.org/10.1007/978-3-7643-7794-6_36
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7793-9
Online ISBN: 978-3-7643-7794-6
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