Existence of martingale solutions to a stochastic kinetic model of chemotaxis
Abstract
Abstract We show the existence of local and global in time weak martingale solutions for a stochastic version of the Othmer-Dunbar-Alt kinetic model of chemotaxis under suitable assumptions on the turning kernel and stochastic drift coefficients, using dispersion and stochastic Strichartz estimates. The analysis is based on new Strichartz estimates for stochastic kinetic transport. The derivation of these estimates involves a local in time dispersion analysis using properties of stochastic flows, and a time-splitting argument to extend the local in time results to arbitrary time intervals.
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Gas Dynamics and Kinetic Theory
Stochastic processes and financial applications
Publication details
- Journal / source
- Nonlinear Differential Equations and Applications NoDEA
- Volume
- 33
- Issue
- 2
- Publication date
- 5 February 2026
- Language
- EN