Global weak solutions to the relativistic BGK equation |
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| Authors: | Juan Calvo Juan Soler |
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| Affiliation: | Departamento de Matemática Aplicada and Research Unit “Modeling Nature” (MNat), Universidad de Granada, Granada, Spain |
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| Abstract: | AbstractIn 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. |
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| Keywords: | BGK relativistic evolution equation Boltzmann kinetic theory H-theorem |
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