| UNIQUENESS OF STATIONARY SOLUTIONS WITH VACUUM OF EULER-POISSON EQUATIONS |
| |
| 引用本文： | 邓引斌,郭玉劲. UNIQUENESS OF STATIONARY SOLUTIONS WITH VACUUM OF EULER-POISSON EQUATIONS[J]. 数学物理学报(B辑英文版), 2003, 23(3): 405-412. DOI: 10.1016/S0252-9602(17)30349-1 |
| |
| 作者姓名： | 邓引斌 郭玉劲 |
| |
| 作者单位： | Laboratory of Nonlinear Analysis，Department of Mathematics，Central China Normal University，Wuhan 430079，China，Laboratory of Nonlinear Analysis，Department of Mathematics，Central China Normal University，Wuhan 430079，China |
| |
| 基金项目： | the Natural Science Foundation of China and the Excellent Teachers Foundation of Ministry of Education of China. |
| |
| 摘 要： | In this paper, the uniqueness of stationary solutions with vacuum of Euler-Poisson equations is considered. Through a nonlineax transformation which is a functionof density and entropy the corresponding problem can be reduced to a semilinear ellipticequation with a nonlinear source term consisting of a power function, for which the classical
|
| 收稿时间： | 2002-01-04 |
UNIQUENESS OF STATIONARY SOLUTIONS WITH VACUUM OF EULER-POISSON EQUATIONS |
| |
| Deng Yinbin Guo YujinLaboratory of Nonlinear Analysis. UNIQUENESS OF STATIONARY SOLUTIONS WITH VACUUM OF EULER-POISSON EQUATIONS[J]. Acta Mathematica Scientia, 2003, 23(3): 405-412. DOI: 10.1016/S0252-9602(17)30349-1 |
| |
| Authors: | Deng Yinbin Guo YujinLaboratory of Nonlinear Analysis |
| |
| Affiliation: | Deng Yinbin Guo YujinLaboratory of Nonlinear Analysis,Department of Mathematics,Central China Normal University,Wuhan 430079,China |
| |
| Abstract: | In this paper,the uniqueness of stationary solutions with vacuum of EulerPoisson equations is considered.Through a nonlinear transformation which is a function of density and entropy,the corresponding problem can be reduced to a semilinear elliptic equation with a nonlinear source term consisting of a power function,for which the classical theory[4]'[9] of the elliptic equations leads the authors to the uniqueness result under some assumptions on the entropy function S(x).As an example,the authors get the uniqueness of stationary solutions with vacuum of Euler-Poisson equations for S(x)= |x|θ and θ∈{0} ∪ [2(N - 2),+∞). |
| |
| Keywords: | Uniqueness stationary solution Euler-Poisson equation |
| 本文献已被 CNKI 万方数据 ScienceDirect 等数据库收录！ |
