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Wellposedness for the Navier-Stokes flow in the exterior of a rotating obstacle

Patricio Cumsille Marius Tucsnak 1
1 CORIDA - Robust control of infinite dimensional systems and applications
IECN - Institut Élie Cartan de Nancy, LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est
Abstract : In this paper we study the Navier-Stokes boundary-initial value problem in the exterior of a rotating obstacle, in two and three spatial dimensions. We prove the local in time existence and uniqueness of strong solutions. Moreover, we show that the solutions are global in time, in two spatial dimensions.
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https://hal.inria.fr/inria-00000889
Contributor : Marius Tucsnak <>
Submitted on : Thursday, December 1, 2005 - 2:23:26 PM
Last modification on : Friday, February 26, 2021 - 3:22:07 AM

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Patricio Cumsille, Marius Tucsnak. Wellposedness for the Navier-Stokes flow in the exterior of a rotating obstacle. Mathematical Methods in the Applied Sciences, Wiley, 2006, 29 (5), pp.595--623. ⟨inria-00000889⟩

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