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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Wiley
2013-01-01
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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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institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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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