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arXiv · 0904.2816

Invariant Gibbs Measures and a.s. Global Well-Posedness for Coupled KdV Systems

Tadahiro Oh
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Abstract

We continue our study of the well-posedness theory of a one-parameter family of coupled KdV-type systems in the periodic setting. When the value of a coupling parameter α\in (0, 4) \setminus 1, we show that the Gibbs measure is invariant under the flow and the system is globally well-posed almost surely on the statistical ensemble, provided that certain Diophantine conditions are satisfied.

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Tadahiro Oh. 2009-04-19. Invariant Gibbs Measures and a.s. Global Well-Posedness for Coupled KdV Systems. https://arxiv.org/abs/0904.2816

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