In this paper, we provide a uniform-in-time bound of the spatial density of kinetic flocking models, in particular, kinetic Cucker–Smale type equations, in all dimensions. By a careful analysis of the structure of the main equations, under certain assumptions on the initial data and the communication weight function, we provide the uniform-in-time bound of the spatial density.
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All Science Journal Classification (ASJC) codes
- Applied Mathematics