On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation II
Report, 2016

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

Author

Leif Arkeryd

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Anne Nouri

Areas of Advance

Nanoscience and Nanotechnology (2010-2017)

Subject Categories

Mathematics

Roots

Basic sciences

More information

Created

10/7/2017