Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Nikolaos Bournaveas , Vincent Calvez (1)

1 DMA - Département de Mathématiques et Applications - ENS Paris

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 global existence under several borderline growth assumptions on the turning kernel. In particular we study the kinetic model with internal variables taking into account the complex molecular network inside the cell.

Mots clés: kinetic model; bacterial motion; chemotaxis; dispersion estimates; Strichartz estimates; internal variables

Domaines: Equations aux dérivées partielles [math.AP]

Nikolaos Bournaveas, Vincent Calvez. Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables. 2007. ⟨hal-00256288⟩