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TitleA note on a Discrete Boltzmann Equation with multiple collisions
Author(s)Oliveira, Filipe
Soares, A. J.
KeywordsDiscrete Boltzmann equation
Shock wave solutions
Hyperbolic PDEs
Issue dateMay-2008
JournalJournal of Mathematical Analysis and Applications
Citation"Journal of Mathematical Analysis and Applications". ISSN 341:2 (May 2008) 1476-1481.
Abstract(s)We compute a non-trivial explicit solution for the one-dimensional plane 6-velocity discrete Boltzmann model with multiple collisions introduced in [1] which asymptotically connects two particular equilibrium states. We prove that such a solution exists provided that a suitable condition on the differential elastic cross sections holds.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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