In this article, we review how a condensate builds-up in finite time, by a self-similar blow-up of the solution of three different models of kinetic equations. After the blow-up time, the growth of the coherent phase is described by equations coupling the energy distribution for the normal gas and the condensate.
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Josserand, C., Pomeau, Y. & Rica, S. Self-similar Singularities in the Kinetics of Condensation. J Low Temp Phys 145, 231–265 (2006). https://doi.org/10.1007/s10909-006-9232-6
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DOI: https://doi.org/10.1007/s10909-006-9232-6