Invariant Gibbs Measures and a.s. Global Well-Posedness for Coupled KdV Systems
Analysis of PDEs
2009-04-21 v1
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 \alpha \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.
Keywords
Cite
@article{arxiv.0904.2816,
title = {Invariant Gibbs Measures and a.s. Global Well-Posedness for Coupled KdV Systems},
author = {Tadahiro Oh},
journal= {arXiv preprint arXiv:0904.2816},
year = {2009}
}
Comments
19 pages. To appear in Diff. Integ. Eqns