Global weak solutions to the relativistic BGK equation
Metadata
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Taylor and Francis
Materia
BGK Relativistic evolution equation Boltzmann Kinetic theory H-theorem
Date
2020Referencia bibliográfica
Communications in Partial Differential Equations 45 (3), 191-229
Sponsorship
MICINN-Feder (Spain) research grant number RTI2018-098850-B-I00; Plan propio de investigación, programa 9 (funded through FEDER (ERDF) funds).; NSF DMS Grant 161453; NSF DMS Grant 1908739; NSF RNMS 1107444Abstract
In this paper the global existence of weak solutions to the relativistic BGK model for the relativistic Boltzmann equation is analyzed. The proof relies on the strong compactness of the density, velocity and temperature under minimal assumptions on the control of some moments of the initial condition together with the initial entropy.