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Séminaire de Physique Mathématique - EDP

Responsable : Nicolas Popoff

  • Le 16 octobre 2018 à 11:30
  • Salle de Conférences
    Quentin Griette (IMB)
    Concentration and singular waves in a nonlocal reaction-diffusion equation
    I consider a reaction-diffusion equation modeling the propagation of a species that possesses a continuum of phenotypic traits. The spatial dynamics of the individuals is modeled by a diffusion process, and the population undergoes a reproduction-mutation-competition dynamics at each spatial point, which is modeled by a nonlocal operator acting on the bounded domain representing the phenotypic space. Under some conditions on the fitness function, the mutation rate and the dimensionality of the domain, a concentration phenomenon is known to happen for the linearized equation, meaning that a singular measure part exists in the principal eigenfunction. I will discuss the validity of this phenomenon for the full (nonlinear) equation, with a particular attention to homogeneous stationary states and traveling waves. In particular, I will talk about the techniques used to construct weak (possibly singular) traveling waves.
  • Le 23 octobre 2018 à 11:30
  • Salle de Conférences
    Pedro Caro (BCAM)

  • Le 6 novembre 2018 à 11:30
  • Salle de Conférences
    Jussi Behrndt (T.U. Graz)

  • Le 13 novembre 2018 à 11:30
  • Salle de Conférences
    Thomas Duyckaerts (LAGA)

  • Le 20 novembre 2018 à 11:30
  • Salle de Conférences
    Marouane Assal (PUC, Santiago)

  • Le 27 novembre 2018 à 11:30
  • Salle de Conférences
    Cécile Huneau (Ecole Polytechnique)

  • Le 8 janvier 2019 à 11:30
  • Salle de Conférences
    Florian Mehats (IRMAR)

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