Pattern Forming Instabilities Driven by Non-Diffusive Interaction

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

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Submission date: 26. Mar. 2009
Pages: 59
published in: Networks and heterogeneous media, 8 (2013) 1, p. 397-432 
DOI number (of the published article): 10.3934/nhm.2013.8.397
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Abstract:
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.