Global Well-posedness of a System of Nonlinearly Coupled KdV equations of Majda and Biello

2013/10/03 by Guo, Yanqiu, Simon, Konrad, Titi, Edriss S.
#35B34 #35Q53 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph)

paper · doi:10.48550/arxiv.1310.1130

Abstract

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^s, for s≥ 0. Our approach is based on a successive time-averaging method developed by Babin, Ilyin and Titi [1].

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