83 citations
- École Normale Supérieure - PSLFR37 papers
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7 papers · 1 filter
De Toda à KdV
Dario Bambusi, Thomas Kappeler, Thierry Paul
We consider the large number of particles limit of a periodic Toda lattice for a family of initial data close to the equilibrium state. We show that each of the two edges of the sp…
Échelles de temps pour l'évolution quantique à petite constante de Planck
Thierry Paul
We present some recent results concerning the long time semiclassical approximation .
Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables
Nikolaos Bournaveas, Vincent Calvez
This paper is concerned with the kinetic model of Othmer-Dunbar-Alt for bacterial motion. Following a previous work, we apply the dispersion and Strichartz estimates to prove globa…
Bimodality, prion aggregates infectivity and prediction of strain phenomenon
Vincent Calvez, Natacha Lenuzza, Dietmar Oelz +4
We consider a model for the polymerization (fragmentation) process involved in infectious prion self-replication and study both its dynamics and non-zero steady state. We address s…
Global existence for a kinetic model of chemotaxis via dispersion and Strichartz estimates
Nikolaos Bournaveas, Vincent Calvez, Susana Gutiérrez +1
We investigate further the existence of solutions to kinetic models of chemotaxis. These are nonlinear transport-scattering equations with a quadratic nonlinearity which have been…
Asymmetric potentials and motor effect: a large deviation approach
Benoit Perthame, Panagiotis E. Souganidis
We provide a mathematical analysis of appearance of the concentrations (as Dirac masses) of the solution to a Fokker-Planck system with asymmetric potentials. This problem has been…