On analyticity rate estimates of the solutions to the Navier-Stokes equations in Bessel-potential spaces

Sawada, O.

Hokkaido University Preprint Series in Mathematics, 2003, 589, 1-13

Permalink : https://doi.org/10.14943/83734

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アクセス権	open access
DOI	https://doi.org/10.14943/83734
URI	https://hdl.handle.net/2115/69338
タイトル	On analyticity rate estimates of the solutions to the Navier-Stokes equations in Bessel-potential spaces
著者	著者名 Sawada, O.
言語	英語
キーワード	Navier-Stokes equations
	spatial analyticity
	regularizing-decay rate
	Gronwall inequality
発行日	2003-03
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	589
ページ	1-13
抄録	The locally-in-time solutions to the Navier-Stokes equations in H%-1(Rn ) are regular for t > 0. The spatial analyticity is established by deriving rate estimates of higher order derivatives of the solutions. The solutions or the initial velocities need not be small. The estimates also provide the decay estimate on derivatives for large time. Although the basic strategy to derive estimates is similar to our previous results with Y. Giga for Ln space, we are forced to apply several tools from harmonic analysis since our space 1{%-1 is more complicated.
資源タイプ	紀要論文
出版タイプ	Version of Record