Aggregated steady states of a kinetic model for chemotaxis

Christian Schmeiser (1) , Anne Nouri (2)

1 Fakultät für Mathematik [Wien]
2 I2M - Institut de Mathématiques de Marseille

A kinetic chemotaxis model with attractive interaction by quasistationary chemical signalling is considered. The special choice of the turning operator, with velocity jumps biased towards the chemical concentration gradient, permits closed ODE systems for moments of the distribution function of arbitrary order. The system for second order moments exhibits a critical mass phenomeneon. The main result is existence of an aggregated steady state for supercritical mass.

Mots clés: chemotaxis; stationary solutions; aggregation; moment systems; critical mass

Domaines: Equations aux dérivées partielles [math.AP]

Christian Schmeiser, Anne Nouri. Aggregated steady states of a kinetic model for chemotaxis. Kinetic and Related Models , 2017, 10 (1), pp.313 - 327. ⟨10.3934/krm.2017013⟩. ⟨hal-01580557⟩