Global Well-Posedness for a Coupled Modified KdV System

Details Global Well-Posedness for a Coupled Modified KdV System Global Well-Posedness for a Coupled Modified KdV System

2011-06-30

arxiv.org/abs/1106.6289v2

Mathematics

Analysis of PDEs

Scientific paper

We prove the sharp global well-posedness results for the initial value problems (IVPs) associated to the modified Korteweg-de Vries (mKdV) equation and a system modeled by the coupled modified Korteweg-de Vries equations (mKdV-system). To obtain our results we use the second generation of the modified energy and almost conserved quantities, more precisely, the refined I-method introduced by Colliander, Keel, Staffilani, Takaoka and Tao.

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