BV solutions for a hydrodynamic model of flocking--type with all-to-all interaction kernel
Analysis of PDEs
2022-10-17 v4
Abstract
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in one-space dimension and establish global existence of entropy weak solutions with concentration to the Cauchy problem for any BV initial data that has finite total mass confined in a bounded interval and initial density uniformly positive therein. In addition, under a suitable condition on the initial data, we show that entropy weak solutions with concentration admit time-asymptotic flocking.
Cite
@article{arxiv.2104.14573,
title = {BV solutions for a hydrodynamic model of flocking--type with all-to-all interaction kernel},
author = {Debora Amadori and Cleopatra Christoforou},
journal= {arXiv preprint arXiv:2104.14573},
year = {2022}
}
Comments
59 pages, 1 figure