Special Session 8: Recent Progress on Mathematical Analysis of PDEs Arising in Fluid Dynamics
Existence of solutions to Dirichlet boundary value problems of the relativistic Boltzmann equation
Li Li
Ningbo University Peoples Rep of China
Co-Author(s): Yi Wang, Zaihong Jiang
Abstract:
We study the boundary value problem of the steady-state relativistic Boltzmann equation in the half-space, assigning the Dirichlet data for outgoing particles at the boundary and a Maxwellian at the far field, under the hard potential model. It is proved that the solvability condition varies with the Mach number of the problem.