MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Pattern Forming Instabilities Driven by Non-Diffusive Interaction

Ivano Primi, Angela Stevens and Juan J.L. Velazquez


Analogous to the analysis of minimal conditions for the formation of Turing patterns or diffusion driven instabilities, in this paper we discuss minimal conditions for a class of kinetic equations with mass conservation, which form patterns with a characteristic wavelength. The related linearized systems are analyzed and the minimal number of equations is derived, which is needed to obtain specific patterns.

Mar 26, 2009
Mar 27, 2009

Related publications

2013 Repository Open Access
Ivano Primi, Angela Stevens and Juan J. L. Velázquez

Pattern forming instabilities driven by non-diffusive interactions

In: Networks and heterogeneous media, 8 (2013) 1, pp. 397-432