On a system of equations for the normal fluid-condensate interaction in a Bose gas
Enrique Cort\'es, Miguel Escobedo
TL;DR
This paper proves the existence of global solutions for a simplified system of differential equations modeling the interaction between normal fluid and condensate in a Bose gas, focusing on quantum kinetic equations near the critical temperature.
Contribution
It introduces a mathematical framework for analyzing a simplified kinetic model of a Bose gas with condensate, establishing global solution existence and properties.
Findings
Global solutions are proven to exist for the system.
Properties of these solutions are characterized.
The model simplifies the complex quantum kinetic equations near the critical temperature.
Abstract
The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of a mathematical description of a weakly interacting dilute gas of bosons in the presence of a condensate near the critical temperature.
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