一维流体动力学半导体方程解的L^p-收敛率(英文)  

Lp-CONVERGENCE RATE OF SOLUTIONS FOR ONE-DIMENSIONAL HYDRODYNAMIC MODEL FOR SEMICONDUCTOR

作　　者：黎野平[1] 

机构地区：[1]咸宁师范高等专科学校数学系,咸宁437005

出　　处：《数学杂志》2003年第3期263-268,共6页Journal of Mathematics

基　　金：In part by National Natural Science Foundation of China (19871065)and Hua-Cheng Math. Grant

摘　　要：文讨论了一维流体动力学半导体方程,当压强函数为p(n)=kn^r,k >0,r≥1时,我们得到了带小初值的Cauchy问题的解的存在性.利用格林函数的办法,我们还得到解的L^p-估计,即当初值是某一常状态附近的小扰动时,其相应的解也是该常状态附近的小扰动。We study the global existence of smooth solutions to Cauchy problem with small data for the simplified one-dimensional Euler-Possion ( or hydrodynamic ) model for semiconductor devices. By means of the analysis for the Green's function of their associated linearized system, the Lp-estimates of the solutions in the case of the small data is established.

关 键 词：半导体 格林函数 L^p—估计 光滑解 

分 类 号：O351.2[理学—流体力学] O175.2[理学—力学]