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Paper detail

On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature

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.

preprint2022arXivOpen access
Miguel Escobedo
math.APmath-phmath.MP
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Miguel Escobedo

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