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 is an element of (0,4)\{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.
| Original language | English |
|---|---|
| Pages (from-to) | 637-668 |
| Number of pages | 32 |
| Journal | Differential and integral equations |
| Volume | 22 |
| Issue number | 7-8 |
| Publication status | Published - 2009 |
Keywords / Materials (for Non-textual outputs)
- KdV
- well-posedness
- Gibbs measure
- Diophantine condition