The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes

We prove the existence and uniqueness of regular solution to the coupled Maxwell-Boltzmann-Euler system, which governs the collisional evolution of a kind of fast moving, massive, and charged particles, globally in time, in a Bianchi of types I to VIII spacetimes. We clearly define function spaces,...

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Main Authors: Raoul Domingo Ayissi, Norbert Noutchegueme, Hugues Paulin Mbeutcha Tchagna
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2013/679054
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author Raoul Domingo Ayissi
Norbert Noutchegueme
Hugues Paulin Mbeutcha Tchagna
author_facet Raoul Domingo Ayissi
Norbert Noutchegueme
Hugues Paulin Mbeutcha Tchagna
author_sort Raoul Domingo Ayissi
collection DOAJ
description We prove the existence and uniqueness of regular solution to the coupled Maxwell-Boltzmann-Euler system, which governs the collisional evolution of a kind of fast moving, massive, and charged particles, globally in time, in a Bianchi of types I to VIII spacetimes. We clearly define function spaces, and we establish all the essential energy inequalities leading to the global existence theorem.
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publishDate 2013-01-01
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series Advances in Mathematical Physics
spelling doaj-art-fd45fd6e56c84b0da377bd7fd4ddf55e2025-02-03T01:28:12ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/679054679054The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi SpacetimesRaoul Domingo Ayissi0Norbert Noutchegueme1Hugues Paulin Mbeutcha Tchagna2Department of Mathematics, Faculty of Science, University of Yaoundé I, P.O. Box 812,Yaoundé, CameroonDepartment of Mathematics, Faculty of Science, University of Yaoundé I, P.O. Box 812,Yaoundé, CameroonDepartment of Mathematics, Faculty of Science, University of Yaoundé I, P.O. Box 812,Yaoundé, CameroonWe prove the existence and uniqueness of regular solution to the coupled Maxwell-Boltzmann-Euler system, which governs the collisional evolution of a kind of fast moving, massive, and charged particles, globally in time, in a Bianchi of types I to VIII spacetimes. We clearly define function spaces, and we establish all the essential energy inequalities leading to the global existence theorem.http://dx.doi.org/10.1155/2013/679054
spellingShingle Raoul Domingo Ayissi
Norbert Noutchegueme
Hugues Paulin Mbeutcha Tchagna
The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes
Advances in Mathematical Physics
title The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes
title_full The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes
title_fullStr The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes
title_full_unstemmed The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes
title_short The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes
title_sort maxwell boltzmann euler system with a massive scalar field in all bianchi spacetimes
url http://dx.doi.org/10.1155/2013/679054
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