Formation of singularities for multi-dimensional transport equations with nonlocal velocity
Analysis of PDEs
2021-11-03 v1
Abstract
This paper is concerned with a class of multi-dimensional transport equations with nonlocal velocity. It is shown that the local smooth solution cannot exist globally in time via the De Giorgi iteration technique.
Keywords
Cite
@article{arxiv.2111.01444,
title = {Formation of singularities for multi-dimensional transport equations with nonlocal velocity},
author = {Quansen Jiu and Wanwan Zhang},
journal= {arXiv preprint arXiv:2111.01444},
year = {2021}
}