Inhomogeneous relativistic Boltzmann equation near vacuum in the\n Robertson-Walker space-time

2016/09/19 by Étienne Takou, Takou, Etienne, Fidèle L. Ciake Ciake +1
Mathematics · #35Q20 #76P05 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #General Relativity and Quantum Cosmology (gr-qc) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1609.05613

openalex publication_date 2016/09/19 · openalex created_date 2022/09/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the Cauchy problem for the relativistic Boltzmann\nequation with near vacuum initial data where the distribution function depends\non the time, the position and the impulsion. The collision kernel considered\nhere is for the hard potentials case and the background space-time in which the\nstudy is done is the Robertson-Walker space-time. Unique global (in time) mild\nsolution is obtained in a suitable weighted space.\n

Related

• Global existence of solutions for the relativistic Boltzmann equation on the flat Robertson-Walker space-time for arbitrarily large intial data
• Asymptotic behaviour of the relativistic Boltzmann equation in the Robertson-Walker spacetime
• The hard potential relativistic Boltzmann equation in the whole space
• The spatially homogeneous relativistic Boltzmann equation with a hard potential
• Global solutions for the relativistic Boltzmann equation in the homogeneous case on the Minkowski space-time