This paper addresses the problem of global well-posedness of a coupled systemof Korteweg-de Vries equations, derived by Majda and Biello in the context ofnonlinear resonant interaction of Rossby waves, in a periodic setting inhomogeneous Sobolev spaces $\dot H^s$, for $s\geq 0$. Our approach is based ona successive time-averaging method developed by Babin, Ilyin and Titi [1].
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机译：本文讨论了在周期性设置非均匀Sobolev空间$ \ dot H ^ s $，为$ s \ geq 0 $。我们的方法基于Babin，Ilyin和Titi [1]开发的连续时间平均方法。
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