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

Raoul Domingo Ayissi, Norbert Noutchegueme and Hugues Paulin Mbeutcha Tchagna

Advances in Mathematical Physics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/679054

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