On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation II
This paper studies a Boltzmann-Nordheim boson equation in a slab with n-dimensional velocity space and pseudo-Maxwellian forces. Strong solutions are obtained for the Cauchy problem with large but uniformly bounded initial data in an L1 setting on a time interval [0,T] only depending on norms of the initial value.
If T is finite then the ess sup norm of the solution explodes at T0.
Boltzmann-Nordheim boson equation
quantum Boltzmann equation