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July  2015, 35(7): 2905-2920. doi: 10.3934/dcds.2015.35.2905

## Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures

 1 Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS ( UMR 7539), 99, avenue Jean-Baptiste Clément, F-93430 Villetaneuse, France

Received  July 2014 Revised  September 2014 Published  January 2015

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.
Citation: Anne-Sophie de Suzzoni. Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures. Discrete & Continuous Dynamical Systems - A, 2015, 35 (7) : 2905-2920. doi: 10.3934/dcds.2015.35.2905
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