On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature
Analysis of PDEs
2022-01-19 v1 Mathematical Physics
math.MP
Abstract
The Cauchy problem for the linearization of a system of equations arising in the kinetic theory of a condensed gas of bosons near the critical temperature around one of its equilibria is solved for radially symmetric initial data. It is proved that the linearized system has global classical solutions that satisfy the natural conservation laws for a large set of initial data. Some regularity properties of the solutions and their long time asymptotic behavior are described.
Keywords
Cite
@article{arxiv.2201.07169,
title = {On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature},
author = {Miguel Escobedo},
journal= {arXiv preprint arXiv:2201.07169},
year = {2022}
}