First-order aggregation models and zero inertia limits
Analysis of PDEs
2016-01-01 v1
Abstract
We consider a first-order aggregation model in both discrete and continuum formulations and show rigorously how it can be obtained as zero inertia limits of second-order models. In the continuum case the procedure consists in a macroscopic limit, enabling the passage from a kinetic model for aggregation to an evolution equation for the macroscopic density. We work within the general space of measure solutions and use mass transportation ideas and the characteristic method as essential tools in the analysis.
Cite
@article{arxiv.1410.7095,
title = {First-order aggregation models and zero inertia limits},
author = {Razvan Fetecau and Weiran Sun},
journal= {arXiv preprint arXiv:1410.7095},
year = {2016}
}
Comments
26 pages