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

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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.
13 pages, 3 figures

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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/70331

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403047
 http://arxiv.org/abs/math/0403047

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arXiv