Relativistic boltzmann equation: Large time behavior and finite speed of propagation

Yu Chu Lin, Ming Jiea Lyu, Kung Chien Wu

研究成果: Article同行評審

摘要

In this paper, we deal with the relativistic Boltzmann equation in the whole space R3x under the closed to equilibrium setting. We obtain the existence, uniqueness, and large time behavior of the solution without imposing any Sobolev regularity (both the spatial and velocity variables) on the initial data. Moreover, we recognize the finite speed of propagation of the solution, which reflects the difference, in essence, between the relativistic Boltzmann equation and the classical Boltzmann equation.

原文English
頁(從 - 到)5994-6032
頁數39
期刊SIAM Journal on Mathematical Analysis
52
發行號6
DOIs
出版狀態Published - 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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