Abstract
We use Wasserstein metrics adapted to study the action of the flow of the BBM equation on probability measures. We prove the continuity of this flow and the stability of invariant measures for finite times.
| Original language | English |
|---|---|
| Pages (from-to) | 2905-2920 |
| Number of pages | 16 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 35 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Jul 2015 |
| Externally published | Yes |
Keywords
- Benjamin-Bona-Mahony equation
- Global estimates
- Invariant measures
- Stability
- Wasserstein metrics
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