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On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data

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 Title: On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data Authors: Giga, Yoshikazu Browse this author Jo, Hideaki Browse this author Mahalov, Alex Browse this author Yoneda, Tsuyoshi Browse this author Keywords: Navier-Stokes equations analyticity frequency set Coriolis force Issue Date: 2007 Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 860 Start Page: 2 End Page: 16 Abstract: We consider the Navier-Stokes equations with the Coriolis force when intial data may not decrease at spatial infinity so that almost periodic data is allowed. We prove that the local-in-time solution is analytic in time when initial data is in $FM_0$, Fourier preimage of the space of all finite Radon measures with no point mass at the origin. When the initial data is almost periodic, this implies that the complex amplitude is analytic in time. In particular, a new mode cannot be created at any positive time. Type: bulletin (article) URI: http://hdl.handle.net/2115/69669 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

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