Affiliation:
1. School of Mathematics and Information Sciences, Yantai University , Yantai 264005, China
Abstract
In this paper, we recognize the finite propagation speed of the solution for the relativistic Bhatnagar-Gross-Krook model of the Marle-type near equilibrium regime in the whole space Rx3. The global solutions vanish outside a modified line cone ⟨x⟩ = aMt with a, M > 1. Moreover, one can see that the slope of the modified line cone aM can be as close as to the maximum speed of the relativistic transport part. This means that the propagation speed is optimal.
Funder
National Natural Science Foundation of China
Yantai University
Subject
Mathematical Physics,Statistical and Nonlinear Physics