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

Anne-Sophie de Suzzoni

doi:10.3934/dcds.2015.35.2905

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2015, Volume 35, Issue 7: 2905-2920. Doi: 10.3934/dcds.2015.35.2905

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

Anne-Sophie de Suzzoni^1,

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

Received: June 30, 2014

Revised: August 31, 2014

Published: May 2017

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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.

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Mathematics Subject Classification: Primary: 35Q35; Secondary: 35R60, 37L40.

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References

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