双极量子流体力学模型的弱解的恒正性  

The Positive Weak Solution of the Bipolar Quantum Hydrodynamic Equations

作　　者：毛磊[1] 寇冰煜[1] 张燕[1] 张纯[1] 

机构地区：[1]解放军理工大学理学院,江苏南京211101

出　　处：《商丘职业技术学院学报》2012年第2期3-4,7,共3页JOURNAL OF SHANGQIU POLYTECHNIC

摘　　要：文章研究次音速条件下双极量子流体力学模型正解的存在性.先将原方程组变形为常见的形式,得到原问题的等价问题利用先验估计和Leray-Schauder不动点定理证明了无论是等熵还是等温条件下,对于所有的电流密度,此模型存在正解.The existence of positive solutions to the bipolar quantum hydrodynamic model is studied.The model is under a subsonic condition.We simplified the model to a common one under the assumption of the boundary conditions.By using priori estimates and Leray-Schauder fixed point theorem,it is shown that,in the case of isothermal or isentropic,the equations have a positive solution for all current density.

关 键 词：量子流体力学 粘滞 双极 不动点定理 正解 

分 类 号：O175.2[理学—数学]