Convergence to the equilibrium for the Pauli equation without detailed balance condition

被引：4
作者：
Ben Abdallah, N
Escobedo, M
Mischler, S
机构：
[1] Univ Toulouse 3, Lab MIP, F-31062 Toulouse, France
[2] Univ Basque Country, Dept Matemat, E-48080 Bilbao, Spain
[3] Univ Paris 09, CEREMADE, UMR 7534, F-75775 Paris, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2005年 / 341卷 / 01期
关键词：
D O I：
10.1016/j.crma.2005.05.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for p is an element of (0, 1), the homogeneous Boltzmann-Pauli equation, without detailed balance condition on the cross-section, has a unique steady state of total charge p. Moreover, we show that the solutions to the Cauchy problem converge to this steady state, as t tends to infinity.
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页码：5 / 10
页数：6
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