Speaker: 李莉教授，宁波大学

Inviter: 李特

Title: Inflow boundary value problems of the stationary relativistic Boltzmann equation

Language: Chinese

Time & Venue: 2025.06.29 10:00-11:00 思源楼615

Abstract: We study the inflow boundary value problem of steady-state relativistic Boltzmann equation in half-line with hard potential model, given the data for the incoming particles at the boundary and a relativistic global Maxwellian with nonzero macroscopic velocities at the far field. We first explicitly address the sound speed for the relativistic Maxwellian in the far field, according to the eigenvalues of a finite dimensional operator based on macroscopic projection. Then we demonstrate that the solvability of the problem varies with the Mach number. The proof is based on the macro-micro decomposition of solutions combined with an artificial damping term. Singular in velocity and spatially exponential decay weights are chosen to carry out the energy estimates. The result extends the previous work (Ukai, Yang and Yu, 2003, Commun. Math. Phys.) to the relativistic problem.