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arxiv: 1404.6975 · v1 · pith:T4BODBEVnew · submitted 2014-04-28 · 🧮 math.AP

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

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keywords flowmeasurescontinuityequationprobabilityactionadaptedbenjamin-bona-mahony
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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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