Global solvabiliy of the Navier-Stokes equations in spaces based on sum-closed frequency sets

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

Hokkaido University Preprint Series in Mathematics, 2006, 795, 1-18

Permalink : https://doi.org/10.14943/83945

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DOI	https://doi.org/10.14943/83945
URI	https://hdl.handle.net/2115/69603
タイトル	Global solvabiliy of the Navier-Stokes equations in spaces based on sum-closed frequency sets
著者	Giga, Yoshikazu ; Inui, Katsuya ; Mahalov, Alex ; Saal, Jürgen
著者名 Giga, Yoshikazu
著者名 Inui, Katsuya
著者名 Mahalov, Alex
著者名 Saal, Jürgen
言語	英語
キーワード	Navier-Stokes equations with rotation
キーワード	global wellposedness
発行日	2006
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	795
ページ	1-18
抄録	We prove existence of global regular solutions for the 3D Navier-Stokes quations with (or without) Coriolis force for a class of initial data u0 in he space FM¾;± , i.e. for functions whose Fourier image bu0 is a vector-valued adon measure and that are supported in sum-closed frequency sets with istance ± from the origin. In our main result we establish an upper bound or admissible initial data in terms of the Reynolds number, uniform on the oriolis parameter . In particular this means that this upper bound is inearly growing in ±. This implies that we obtain global in time regular olutions for large (in norm) initial data u0 which may not decay at space nfinity, provided that the distance ± of the sum-closed frequency set from he origin is sufficiently large.
資源タイプ	紀要論文
出版タイプ	Version of Record