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

preprint2016arXivOpen access

Abstract

This paper studies a space-inhomogeneous Boltzmann-Nordheim equation with pseudo-Maxwellian forces. Strong solutions are obtained for the Cauchy problem in a setting with large bounded L1 initial data. The main results are existence, uniqueness, stability and qualitative boundedness features for solutions conserving mass, momentum and energy.

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