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

TitleOn the Blow-up for a Discrete Boltzmann Equation in the Plane
Publication TypeJournal Article
Year of Publication2005
AuthorsBressan, A, Fonte, M
JournalDiscrete Contin. Dyn. Syst. 13 (2005) 1-12
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.

URLhttp://hdl.handle.net/1963/2244

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