On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation

Journal article, 2017

This paper studies a Boltzmann-Nordheim boson equation in a slab with two-dimensional velocity space and pseudo-Maxwellian forces. Strong solutions are obtained for the Cauchy problem with large uniformly bounded initial data in a L1 setting. The solutions are limits of solutions to corresponding anyon equations. The main results are existence, uniqueness, and stabililty of solutions conserving mass, momentum and energy. If the solutions are only local and exist up to time T0, then they explode in the ess sup norm at T0.