%0 Journal Article
%T A Milne problem from a Bose condensate with excitations
%+ Chalmers University of Technology [Göteborg]
%+ Laboratoire d'Analyse, Topologie, Probabilités (LATP)
%A Arkeryd, Leif
%A Nouri, Anne
%Z DOI 10.3934/krm.2013.6.671
%< avec comité de lecture
%@ 1937-5093
%J Kinetic and Related Models
%I AIMS
%V 6
%N 4
%P 671--686
%8 2013-12
%D 2013
%K low temperature kinetics
%K Bose condensate
%K two component model
%K Milne problem
%Z 81V99, 82C10, 82C22, 82C40
%Z Mathematics [math]/Analysis of PDEs [math.AP]Journal articles
%X 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.
%G English
%L hal-01342484
%U https://hal.science/hal-01342484
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ TDS-MACS
%~ ANR