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

Raoul Domingo Ayissi | Zendy; Norbert Noutchegueme | Zendy; Hugues Paulin Mbeutcha Tchagna | Zendy

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

Author(s) -

Raoul Domingo Ayissi,

Norbert Noutchegueme,

Hugues Paulin Mbeutcha Tchagna

Publication year - 2013

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2013/679054

Subject(s) - uniqueness , physics , boltzmann constant , scalar field , euler's formula , boltzmann equation , mathematical physics , scalar (mathematics) , euler equations , classical mechanics , mathematics , mathematical analysis , geometry , quantum mechanics

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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