Long time behavior of solutions to Nernst-Planck and Debye-Huckel drift-diffusion systems

被引：125

作者：

Biler, P

Dolbeault, J

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[2] Univ Paris 09, CEREMADE, UMR CNRS 7534, F-75775 Paris 16, France

来源：

ANNALES HENRI POINCARE | 2000年 / 1卷 / 03期

关键词：

D O I：

10.1007/s000230050003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the convergence rates of solutions to drift-diffusion systems (arising from plasma, semiconductors and electrolytes theories) to their self-similar or steady states. This analysis involves entropy-type Lyapunov functionals and logarithmic Sobolev inequalities.

引用

页码：461 / 472

页数：12

共 11 条

[1]

ARNOLD A, 1998, ASYMPTOTIC METHODS K, V12, P1

[2]

ARNOLD A, 1999, LARGE TIME ASYMPTOCI, P1

[3] EXISTENCE AND ASYMPTOTICS OF SOLUTIONS FOR A PARABOLIC-ELLIPTIC SYSTEM WITH NONLINEAR NO-FLUX BOUNDARY-CONDITIONS [J].