The Faedo-Galerkin Method for the Relativistic Boltzmann Equation

The Faedo-Galerkin Method for the Relativistic Boltzmann Equation

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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Veröffentlicht in:Communications in Mathematics and Applications 2013-01, Vol.4 (2), p.93
Hauptverfasser: Raoul Domingo Ayissi, Noutchegueme, Norbert
Format: Artikel
Sprache:eng
Schlagworte:
Boltzmann transport equation
Existence theorems
Function space
Galerkin method
Mathematical analysis
Relativistic effects
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Beschreibung
Zusammenfassung: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.
ISSN:0976-5905
0975-8607
DOI:10.26713/cma.v4i2.166