The Faedo-Galerkin Method for the Relativistic Boltzmann Equation

Authors

  • Raoul Domingo Ayissi Analysis and Applications, Department of Mathematics, Faculty of Science, University of Yaounde, I POB: 812, Yaounde
  • Norbert Noutchegueme Analysis and Applications, Department of Mathematics, Faculty of Science, University of Yaounde, I POB: 812, Yaounde

DOI:

https://doi.org/10.26713/cma.v4i2.166

Keywords:

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

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.
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Issue

Vol. 4 No. 2 (2013)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Ayissi, R. D., & Noutchegueme, N. (2013). The Faedo-Galerkin Method for the Relativistic Boltzmann Equation. Communications in Mathematics and Applications, 4(2), 93-118. https://doi.org/10.26713/cma.v4i2.166