11 citations · 14 across the 4 of their papers we have counts for
4 papers
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…
The parabolic-parabolic Keller-Segel model in
Vincent Calvez, Lucilla Corrias
This paper is devoted mainly to the global existence problem for the two-dimensional parabolic-parabolic Keller-Segel in the full space. We derive a critical mass threshold below w…
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…