DIFFUSION LIMIT OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM

被引：1
|
作者：
El Ghani, Najoua [1 ]
Masmoudi, Nader [2 ]
机构：
[1] Fac Sci Tunis, Dept Math, TN-2092 Tunis, Tunisia
[2] NYU, Courant Inst, New York, NY 10012 USA
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2010年 / 8卷 / 02期
关键词：
Hydrodynamic limit; Vlasov-Poisson-Fokker-Planck system; Drift-Diffusion-Poisson model; moment method; velocity averaging lemma; renormalized solutions; INCOMPRESSIBLE FLUID-MECHANICS; GLOBAL CLASSICAL-SOLUTIONS; HIGH-FIELD LIMIT; 3; DIMENSIONS; WEAK SOLUTIONS; INITIAL DATA; BOLTZMANN EQUATIONS; SMOOTH SOLUTIONS; EXISTENCE; REGULARITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the diffusion limit of the Vlasov-Poisson-Fokker-Planck System. Here, we generalize the local in time results and the two dimensional results of Poupaud-Soler [F. Poupaud and J. Soler, Math. Models Methods Appl. Sci., 10(7), 1027-1045 2000] and Goudon [T. Goudon, Math. Models Methods Appl. Sci., 15(5), 737-2005] to the case of several space dimensions. Renormalization techniques, the method of moments and a velocity averaging lemma are used to prove the convergence of free energy solutions (renormalized solutions) to the Vlassov-Poisson-Fokker-Planck system towards a global weak solution of the Drift-Diffusion-Poisson model.
引用
收藏
页码：463 / 479
页数：17
相关论文
共 50 条
12345