On the Blow-up for a Discrete Boltzmann Equation in the Plane

Details On the Blow-up for a Discrete Boltzmann Equation in the Plane On the Blow-up for a Discrete Boltzmann Equation in the Plane

2004-03-02

arxiv.org/abs/math/0403047v2

Mathematics

Analysis of PDEs

13 pages, 3 figures

Scientific paper

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.

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