Existence of weak solutions to kinetic flocking models
Analysis of PDEs
2012-02-21 v1
Abstract
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.
Cite
@article{arxiv.1202.4346,
title = {Existence of weak solutions to kinetic flocking models},
author = {Trygve Karper and Antoine Mellet and Konstantina Trivisa},
journal= {arXiv preprint arXiv:1202.4346},
year = {2012}
}
Comments
27 pages