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

Alberto Bressan·Massimo Fonte
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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.

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Alberto Bressan, Massimo Fonte. 2004-03-03. On the Blow-up for a Discrete Boltzmann Equation in the Plane. https://arxiv.org/abs/math/0403047

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