Projects per year
In this paper, we focus on the Keller-Segel chemotaxis system in a random heteroge-neous domain. We assume that the corresponding diﬀusion and chemotaxis coeﬃcients are given by stationary ergodic random ﬁelds and apply stochastic two-scale conver-gence methods to derive the homogenized macroscopic equations. In establishing our results, we also derive a priori estimates for the Keller-Segel system that rely only on the boundedness of the coeﬃcients; in particular, no diﬀerentiability assumption on the diﬀusion and chemotaxis coeﬃcients for the chemotactic species is required. Finally, we prove the convergence of a periodization procedure for approximating the homogenized macroscopic coeﬃcients.
|Number of pages||19|
|Journal||Nonlinear Analysis: Theory, Methods and Applications|
|Early online date||4 Jul 2016|
|Publication status||Published - Oct 2016|
- two-scale convergence
- Palm measures
- point processes
FingerprintDive into the research topics of 'Stochastic homogenization of the Keller-Segel chemotaxis system'. Together they form a unique fingerprint.
- 1 Finished
1/01/14 → 31/12/15