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Hokkaido University Preprint Series in Mathematics >
LOCAL SOLVABILITY AND LOSS OF SMOOTHNESS OF THE NAVIER-STOKES-MAXWELL EQUATIONS WITH LARGE INITIAL DATA
| Title: | LOCAL SOLVABILITY AND LOSS OF SMOOTHNESS OF THE NAVIER-STOKES-MAXWELL EQUATIONS WITH LARGE INITIAL DATA |
| Authors: | Ibrahim, Slim Browse this author | | Yoneda, Tsuyoshi Browse this author |
| Keywords: | Navier-Stokes equation | | Maxwell equations | | MHD | | locally well posedness | | loss of smoothness |
| Issue Date: | 12-Sep-2011 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 986 |
| Start Page: | 1 |
| End Page: | 9 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69910 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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