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- Title
The Maxwell-Boltzmann-Euler System with a Massive Scalar Field in All Bianchi Spacetimes.
- Authors
Ayissi, Raoul Domingo; Noutchegueme, Norbert; Mbeutcha Tchagna, Hugues Paulin
- Abstract
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.
- Subjects
MAXWELL-Boltzmann function; BOLTZMANN'S equation; EULER theorem; SCALAR field theory; BIANCHI groups; SPACETIME; MATHEMATICAL proofs; EXISTENCE theorems; UNIQUENESS (Mathematics)
- Publication
Advances in Mathematical Physics, 2013, p1
- ISSN
1687-9120
- Publication type
Article
- DOI
10.1155/2013/679054