Uniform local solvability for the Navier-Stokes equations with the Coriolis force

Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex et al.

Hokkaido University Preprint Series in Mathematics, 2005, 736, 1-15

Permalink : https://doi.org/10.14943/83886

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アクセス権	open access
DOI	https://doi.org/10.14943/83886
URI	https://hdl.handle.net/2115/69544
タイトル	Uniform local solvability for the Navier-Stokes equations with the Coriolis force
著者	Giga, Yoshikazu ; Inui, Katsuya ; Mahalov, Alex ; Matsui, Shin'ya
著者名 Giga, Yoshikazu
著者名 Inui, Katsuya
著者名 Mahalov, Alex
著者名 Matsui, Shin'ya
言語	英語
発行日	2005
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	736
ページ	1-15
抄録	The unique local existence is established for the Cauchy problem of the incompressible Navier-Stokes equations with the Coriolis force. The Coriolis operator restricted to divergence free vector fields is a zero order pseudodifferential operator with the skew-symmetric matrix symbol related to the Riesz operator. It leads to the additional term in the Navier-Stokes equations which has real parameter being proportional to the speed of rotation. For initial data as Fourier preimage of the space of all finite Radon measures with no point mass at the origin we prove uniform estimate for the existence time in the speed of rotation.
資源タイプ	紀要論文
出版タイプ	Version of Record