5 papers
The massless Boltzmann equation in Minkowski spacetime
Ho Lee, Ernesto Nungesser, John Stalker +1
We study the spatially homogeneous, massless Boltzmann equation in Minkowski spacetime for a certain range of hard and soft interactions. For hard interactions, we derive a Povzner…
Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity
Ho Lee, Ernesto Nungesser, John Stalker +1
We study massless solutions to the Einstein equations coupled to different matter models with a magnetic field and a conformal gauge singularity assuming spatial homogeneity with t…
Well-posedness of anisotropic and homogeneous solutions to the Einstein-Boltzmann system with a conformal-gauge singularity
Ho Lee, Ernesto Nungesser, John Stalker +1
We consider the Einstein-Boltzmann system for massless particles in the Bianchi I space-time with scattering cross-sections in a certain range of soft potentials. We assume that th…
Future global existence of homogeneous solutions to the Einstein-Boltzmann system with soft potentials
Ho Lee, Ernesto Nungesser
We study the Cauchy problem for the Einstein-Boltzmann system with soft potentials in a cosmological setting. We assume the Bianchi I symmetry to describe a spatially homogeneous,…
Future of Bianchi I magnetic cosmologies with kinetic matter
Ho Lee, Ernesto Nungesser
We show under the assumption of small data that solutions to the Einstein-Vlasov system with a pure magnetic field and Bianchi I symmetry isotropise and tend to dust solutions. We…