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  • EDP

    Jeudi 24 janvier 14:00-15:00 - Magali Tournus - Ecole Centrale Marseille

    M. Tournus : A Wasserstein norm for signed measures, with application to non local transport equation with source term

    Résumé : We introduce the optimal transportation interpretation of the Kantorovich norm on the space of signed Radon measures with finite mass, based on a generalized Wasserstein distance for measures with different masses. With the formulation and the new topological properties we obtain for this norm, we prove existence and uniqueness for solutions to non-local and non-linear transport equations with source terms, when the initial condition is a signed measure.

    Lieu : Salle G210, bât. Germain.

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