Abstract
It has recently been shown that a linearized relativistic BGK model can be reduced, in the ultrarelativistic limit, to a system of three uncoupled transport equations for thermal, sound, and shear waves. The equation describing the propagation of thermal waves is the well-known one-speed neutron transport with isotropic scattering in the conservative case. In this paper the solution of the half-space problem for the equation describing the propagation of shear and sound waves is given according to Case's elementary solutions method.
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Frezzotti, A. The propagation of infinitesimal disturbances in an ultrarelativistic gas according to the method of elementary solutions. J Stat Phys 46, 255–272 (1987). https://doi.org/10.1007/BF01010345
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DOI: https://doi.org/10.1007/BF01010345