Back to Search
Start Over
Green's Function and Pointwise Space-time Behaviors of the Three-Dimensional Relativistic Boltzmann Equation
- Publication Year :
- 2024
-
Abstract
- The pointwise space-time behavior of the Green's function of the three-dimensional relativistic Boltzmann equation is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive waves and Huygens waves with the speed $\sqrt{a^2+b^2}$ at low-frequency, the singular kinetic wave and the remainder term decaying exponentially in space and time. In addition, we establish the pointwise space-time estimate of the global solution to the nonlinear relativistic Boltzmann equation with non-smooth initial data based on the Green's function.<br />Comment: arXiv admin note: text overlap with arXiv:2303.13021
- Subjects :
- Mathematics - Analysis of PDEs
76P05, 82C40, 82D05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.06280
- Document Type :
- Working Paper