Regularity and asymptotic behavior of laminar flames in higher dimensions
Analysis of PDEs
2019-11-19 v1
Abstract
We study a parabolic free boundary problem, arising from a model for the propagation of equi-diffusional premixed flames with high activation energy. If an initial data is compactly supported, then the solution vanishes in a finite time, called the extinction time. In this paper, we give a quantitative estimate on the flatness of the free boundary and prove that the free boundary is asymptotically spherical and the solution is asymptotically self-similar.
Keywords
Cite
@article{arxiv.1911.06916,
title = {Regularity and asymptotic behavior of laminar flames in higher dimensions},
author = {Rubin Abrams and Sunhi Choi},
journal= {arXiv preprint arXiv:1911.06916},
year = {2019}
}