Finite time blow-up and condensation for the bosonic Nordheim equation

Autor:	Escobedo, M. l, Velázquez, J. J. L.
Rok vydání:	2012
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs 35Q20
Druh dokumentu:	Working Paper
Popis:	The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the existence of classical solutions of the homogeneous bosonic Nordheim equation that blow up in finite time. We also prove finite time condensation for a class of weak solutions of the kinetic equation. Comment: 53 pages, 1 figure This new version contains the finite time condensation result that was previously contained in the article arXiv:1210.1664. Some misprints have been corrected and the presentation has been slightly modified at some places
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1206.5410 Zobrazit plný text záznamu View this record from Arxiv