Existence of weak solutions to kinetic flocking models

Details Existence of weak solutions to kinetic flocking models Existence of weak solutions to kinetic flocking models

2012-02-20

arxiv.org/abs/1202.4346v1

Mathematics

Analysis of PDEs

27 pages

Scientific paper

We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under consideration include the kinetic Cucker-Smale equation with possibly non-symmetric flocking potential, the Cucker-Smale equation with additional strong local alignment, and a newly proposed model by Motsch and Tadmor. The main tools employed in the analysis are the velocity averaging lemma and the Schauder fixed point theorem along with various integral bounds.

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