A Milne problem from a Bose condensate with excitations

Leif Arkeryd (1) , Anne Nouri (2)

1 Chalmers University of Technology [Göteborg]
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

This paper deals with a half-space linearized problem for the distribution function of the excitations in a Bose gas close to equilibrium. Existence and uniqueness of the solution, as well as its asymptotic properties are proven for a given energy flow. The problem differs from the ones for the classical Boltzmann and related equations, where the hydrodynamic mass flow along the half-line is constant. Here it is no more constant. Instead we use the energy flow which is constant, but no more hydrodynamic.

Mots clés: low temperature kinetics; Bose condensate; two component model; Milne problem

Domaines: Equations aux dérivées partielles [math.AP]

Leif Arkeryd, Anne Nouri. A Milne problem from a Bose condensate with excitations. Kinetic and Related Models , 2013, 6 (4), pp.671--686. ⟨hal-01342484⟩