Journal
COMMUNICATIONS IN MATHEMATICAL SCIENCES
Volume 13, Issue 5, Pages 1261-1288Publisher
INT PRESS BOSTON, INC
DOI: 10.4310/CMS.2015.v13.n5.a9
Keywords
KdV equation; global well-posedness; successive time-averaging method
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Funding
- Minerva Stiftung/Foundation
- NSF [DMS-1009950, DMS-1109640, DMS-1109645]
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This paper addresses the problem of global well-posedness of a coupled system of Korteweg-de Vries equations, derived by Majda and Biello in the context of nonlinear resonant interaction of Rossby waves, in a periodic setting in homogeneous Sobolev spaces (H) over dot(s), for s >= 0. Our approach is based on a successive time-averaging method developed by Babin, Ilyin and Titi [A.V. Babin, A.A. Ilyin and E.S. Titi, Commun. Pure Appl. Math., 64(5), 591-648, 2011].
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