Sharp profiles in models of collective movements
Analysis of PDEs
2017-02-20 v1
Abstract
We consider a parabolic partial differential equation that can be understood as a simple model for crowds flows. Our main assumption is that the diffusivity and the source/sink term vanish at the same point; the nonhomogeneous term is different from zero at any other point and so the equation is not monostable. We investigate the existence, regularity and monotone properties of semi-wavefront solutions as well as their convergence to wavefront solutions.
Cite
@article{arxiv.1702.05278,
title = {Sharp profiles in models of collective movements},
author = {Andrea Corli and Lorenzo di Ruvo and Luisa Malaguti},
journal= {arXiv preprint arXiv:1702.05278},
year = {2017}
}
Comments
29 pages