Euler-Poisson方程组到不可压Euler型方程的收敛性(英文)  

The Convergence of Euler-Poisson System to Incompressible Euler Type Equations

作　　者：杨建伟[1,2] 王红利[2] 王术[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124 [2]华北水利水电学院数学与信息科学学院,河南郑州450011

出　　处：《四川师范大学学报（自然科学版）》2010年第3期331-334,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：supported by The National Natural Science Foundation of China (10771009)~~

摘　　要：研究了在环Τ3上带松弛项的无压力的Euler-Poisson系统的拟中性极限问题.对于好的初值,运用梯度的div-curl分解技术和能量估计方法,严格证明了可压的Euler-Poisson方程组到不可压Euler型方程的收敛性;并建立了关于德拜长度λ的一个先验估计.This paper studies the quasi-neutral limit of pressureless Euler-Poisson equations with relaxation term in plasma physics in the torus Τ3.For well prepared initial data the convergence of solutions of compressible Euler-Poisson equations to the solutions of incompressible Euler type equations is justified rigorously by using the curl-div decomposition of the gradient.And a priori estimate with respect to λ is also established uniformly.

关 键 词：EULER-POISSON方程 不可压Euler方程 拟中性极限 div-curl分解 

分 类 号：O175[理学—数学]