Non Local Conservation Laws in Bounded Domains
Analysis of PDEs
2017-11-15 v1
Abstract
The well posedness for a class of non local systems of conservation laws in a bounded domain is proved and various stability estimates are provided. This construction is motivated by the modelling of crowd dynamics, which also leads to define a non local operator adapted to the presence of a boundary. Numerical integrations show that the resulting model provides qualitatively reasonable solutions.
Cite
@article{arxiv.1711.05083,
title = {Non Local Conservation Laws in Bounded Domains},
author = {Elena Rossi and Rinaldo M. Colombo},
journal= {arXiv preprint arXiv:1711.05083},
year = {2017}
}