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On a system of equations for the normal fluid-condensate interaction in a Bose gas

Analysis of PDEs 2018-03-28 v1 Mathematical Physics math.MP

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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Cite

@article{arxiv.1803.09964,
  title  = {On a system of equations for the normal fluid-condensate interaction in a Bose gas},
  author = {Enrique Cortés and Miguel Escobedo},
  journal= {arXiv preprint arXiv:1803.09964},
  year   = {2018}
}

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71 pages