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

Alberto Bressan, Massimo Fonte

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalDiscrete and Continuous Dynamical Systems
Volume13
Issue number1
StatePublished - Jun 1 2005

Fingerprint

Finite Time Blow-up
Blow-up Rate
A Priori Bounds
Boltzmann equation
Blow-up Solution
Discrete Equations
Boltzmann Equation
Blow-up
Scenarios
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

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On the blow-up for a discrete Boltzmann equation in the plane. / Bressan, Alberto; Fonte, Massimo.

In: Discrete and Continuous Dynamical Systems, Vol. 13, No. 1, 01.06.2005, p. 1-12.

Research output: Contribution to journalArticle

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