LOCAL SOLVABILITY AND LOSS OF SMOOTHNESS OF THE NAVIER-STOKES-MAXWELL EQUATIONS WITH LARGE INITIAL DATA

Ibrahim, Slim; Yoneda, Tsuyoshi

Hokkaido University Preprint Series in Mathematics, 2011, 986, 1-9

Permalink : https://doi.org/10.14943/84252

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DOI	https://doi.org/10.14943/84252
URI	https://hdl.handle.net/2115/69910
タイトル	LOCAL SOLVABILITY AND LOSS OF SMOOTHNESS OF THE NAVIER-STOKES-MAXWELL EQUATIONS WITH LARGE INITIAL DATA
著者	著者名 Ibrahim, Slim
著者	著者名 Yoneda, Tsuyoshi
言語	英語
キーワード	Navier-Stokes equation
	Maxwell equations
	MHD
	locally well posedness
	loss of smoothness
発行日	2011-09-12
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	986
ページ	1-9
抄録	Existence of local-in-time unique solution and loss of smoothness of full Magnet-Hydro-Dynamics system (MHD) is considered for periodic initial data. The result is proven using Fujita-Kato's method in l^1 based (for the Fourier coeffcients) functional spaces enabling us to easily estimate nonlinear terms in the system as well as solutions to Maxwells's equations. A loss of smoothness result is shown for the velocity and magnetic field. It comes from the damped-wave operator which does not have any smoothing effect.
資源タイプ	紀要論文
出版タイプ	Version of Record