The Faedo-Galerkin Method for the Relativistic Boltzmann Equation

Raoul Domingo Ayissi, Norbert Noutchegueme

Abstract


We prove the existence and uniqueness of solution to the relativistic Boltzmann equation locally in time. We clarify the choice of the function spaces and we establish step by step all the essential energy estimations leading to the existence theorem.

Keywords


Quasilinear system; Boltzmann relativistic equation; Charged particles; Binary collisions; Galerkin method

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DOI: http://dx.doi.org/10.26713%2Fcma.v4i2.166

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eISSN 0975-8607; pISSN 0976-5905