On the blow-up for a discrete Boltzmann equation in the plane

Alberto Bressan; Massimo Fonte

doi:10.3934/dcds.2005.13.1

On the blow-up for a discrete Boltzmann equation in the plane

Alberto Bressan
, Massimo Fonte

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-12
Number of pages	12
Journal	Discrete and Continuous Dynamical Systems
Volume	13
Issue number	1
DOIs	https://doi.org/10.3934/dcds.2005.13.1
State	Published - Jun 2005

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2005.13.1

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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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AB - 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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JO - Discrete and Continuous Dynamical Systems

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On the blow-up for a discrete Boltzmann equation in the plane

Abstract

All Science Journal Classification (ASJC) codes

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