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アクセス権	open access
DOI	https://doi.org/10.14943/83834
URI	https://hdl.handle.net/2115/69488
タイトル	The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data
著者	Giga, Yoshikazu ; Mahalov, Alex ; Nicolaenko, Basil
著者名 Giga, Yoshikazu
著者名 Mahalov, Alex
著者名 Nicolaenko, Basil
言語	英語
キーワード	Navier-Stokes equations
	spatially almost periodic solutions
	the Cauchy problem
発行日	2004
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	683
ページ	1-12
抄録	A unique classical solution of the Cauchy problem for the Navier-Stokes equa- tions is considered when the initial velocity is spatially almost periodic. It is shown that the solution is always spatially almost periodic at any time provided that the solution exists. No restriction on the space dimension is imposed. This fact follows from continuous dependence of the solution with respect to initial data in uniform topology. Similar result is also established for Cauchy problem of the three- dimensional Navier-Stokes equations in a rotating frame.
資源タイプ	紀要論文
出版タイプ	Version of Record

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