MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) 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.
Pattern Forming Instabilities Driven by Non-Diffusive Interaction
Ivano Primi, Angela Stevens and Juan J.L. VelazquezAbstract
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.
- Received:
- 26.03.09
- Published:
- 27.03.09