Singularity formation in fractional Burgers' equations
Analysis of PDEs
2020-02-19 v1
Abstract
The formation of singularities in finite time in non-local Burgers' equations, with time-fractional derivative, is studied in detail. The occurrence of finite time singularity is proved, revealing the underlying mechanism, and precise estimates on the blow-up time are provided. The employment of the present equation to model a problem arising in job market is also analyzed.
Keywords
Cite
@article{arxiv.1905.13263,
title = {Singularity formation in fractional Burgers' equations},
author = {Giuseppe Maria Coclite and Serena Dipierro and Francesco Maddalena and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1905.13263},
year = {2020}
}
Comments
18 pages, 1 figure