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

被引：40
作者：
Escobedo, M. [1 ,2 ]
Velazquez, J. J. L. [3 ]
机构：
[1] Univ Basque Country, EHU, Dept Matemat, E-48080 Bilbao, Spain
[2] BCAM, Bilbao 48009, Spain
[3] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany
来源：
INVENTIONES MATHEMATICAE | 2015年 / 200卷 / 03期
关键词：
UEHLING-UHLENBECK EQUATION; BOSE-EINSTEIN PARTICLES; BOLTZMANN-EQUATION; KINETICS; GAS; STATISTICS; TRANSITION; DYNAMICS;
D O I：
10.1007/s00222-014-0539-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：761 / 847
页数：87
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