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Boundary Layers and Shock Profiles for the Broadwell Model
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science. (Kinetisk teori)ORCID iD: 0000-0003-1232-3272
2016 (English)In: International Journal of Differential Equations, ISSN 1687-9643, E-ISSN 1687-9651, Vol. 2016, 1-8 p., 5801728Article in journal (Refereed) Published
Abstract [en]

We consider the existence of nonlinear boundary layers and the typically nonlinear problem of existence of shock profiles for the Broadwell model, which is a simplified discrete velocity model for the Boltzmann equation. We find explicit expressions for the nonlinear boundary layers and the shock profiles. In spite of the few velocities used for the Broadwell model, the solutions are (at least partly) in qualitatively good agreement with the results for the discrete Boltzmann equation, that is the general discrete velocity model, and the full Boltzmann equation.

Place, publisher, year, edition, pages
Hindawi Publishing Corporation, 2016. Vol. 2016, 1-8 p., 5801728
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URN: urn:nbn:se:kau:diva-45345DOI: 10.1155/2016/5801728ISI: 000380712800001OAI: diva2:953074
Available from: 2016-08-16 Created: 2016-08-16 Last updated: 2016-09-21Bibliographically approved

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Bernhoff, Niclas
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