On the Blow-up for a Discrete Boltzmann Equation in the Plane
Analysis of PDEs
2007-05-23 v2
Abstract
We study the possibility of finite-time blow-up for a two dimensional Broadwell model. In a set of rescaled variables, we prove that no self-similar blow-up solution exists, and derive some a priori bounds on the blow-up rate. In the final section, a possible blow-up scenario is discussed.
Keywords
Cite
@article{arxiv.math/0403047,
title = {On the Blow-up for a Discrete Boltzmann Equation in the Plane},
author = {Alberto Bressan and Massimo Fonte},
journal= {arXiv preprint arXiv:math/0403047},
year = {2007}
}
Comments
13 pages, 3 figures