2 papers
math.AP2008
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…
math.AP2007
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…