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Half-Space Problems for the Boltzmann Equation of Multicomponent Mixtures
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0003-1232-3272
2023 (English)In: From Kinetic Theory to Turbulence Modeling: The Legacy of Carlo Cercignani / [ed] Paolo Barbante, Francesco D. Belgiorno, Silvia Lorenzani, Lorenzo Valdettaro, Springer, 2023, Vol. 51, p. 45-57Conference paper, Published paper (Refereed)
Abstract [en]

Half-space problems in the kinetic theory of gases are of great importance in the study of the asymptotic behavior of solutions of boundary value problems for the Boltzmann equation for small Knudsen numbers. They provide the boundary conditions for the fluid-dynamic-type equations and Knudsen-layer corrections to the solution of the fluid-dynamic-type equations in a neighborhood of the boundary. These problems are well studied for single species, including some important contributions by Carlo Cercignani, and it is well-known that the number of additional conditions needed to be imposed depends on different regimes for the Mach number (corresponding to subsonic/supersonic evaporation/condensation). However, the case of mixtures is not as well studied in the literature. We will address some extensions of the results for half-space problems for single species to the case of multicomponent mixtures. 

Place, publisher, year, edition, pages
Springer, 2023. Vol. 51, p. 45-57
Series
Springer INdAM Series, ISSN 2281-518X, E-ISSN 2281-5198 ; 51
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-94741DOI: 10.1007/978-981-19-6462-6_4Scopus ID: 2-s2.0-85158148226ISBN: 978-981-19-6462-6 (electronic)OAI: oai:DiVA.org:kau-94741DiVA, id: diva2:1757929
Conference
INdAM Workshop The Legacy of Carlo Cercignani: from Kinetic Theory to Turbulence Modeling, INdAM 2021, Milan, Italy, May 24-28, 2021.
Available from: 2023-05-19 Created: 2023-05-19 Last updated: 2023-05-19Bibliographically approved

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Bernhoff, Niclas

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