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Pattern forming instabilities driven by non-diffusive interactions

In analogy to the analysis of minimal conditions for the 
formation of 
diffusion driven instabilities in the sense of Turing, in this paper minimal 
conditions for a class of kinetic equations with mass conservation 
are discussed, 
whose solutions show 
patterns with a characteristic wavelength. The related linearized systems are 
analyzed, and the minimal number of equations is derived, which is needed 
for specific patterns to occur.