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

Giga, Yoshikazu; Jo, Hideaki; Mahalov, Alex et al.

Hokkaido University Preprint Series in Mathematics, 2007, 860, 2-16

Permalink : https://doi.org/10.14943/84010

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DOI	https://doi.org/10.14943/84010
URI	https://hdl.handle.net/2115/69669
タイトル	On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data
著者	Giga, Yoshikazu ; Jo, Hideaki ; Mahalov, Alex ; Yoneda, Tsuyoshi
著者名 Giga, Yoshikazu
著者名 Jo, Hideaki
著者名 Mahalov, Alex
著者名 Yoneda, Tsuyoshi
言語	英語
キーワード	Navier-Stokes equations
	analyticity
	frequency set
	Coriolis force
発行日	2007
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	860
ページ	2-16
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record