Existence of Weak Solutions to Kinetic Flocking Models
نویسندگان
چکیده
We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under conideration include the kinetic Cucker-Smale equation [6, 7] with possibly non-symmetric flocking potential, the Cucker-Smale equation with additional strong local alignment, and a newly proposed model by Motsch and Tadmor [14]. 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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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 45 شماره
صفحات -
تاریخ انتشار 2013