| -维双极Euler-Poisson方向的有非零边值的初边值问题的整体适应性 |
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| 引用本文： | 朱艳,黎野平.-维双极Euler-Poisson方向的有非零边值的初边值问题的整体适应性[J].上海师范大学学报(自然科学版),2012,41(1):1-11. |
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| 作者姓名： | 朱艳 黎野平 |
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| 作者单位： | 上海师范大学数理学院,上海,200234 |
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| 基金项目： | Supported by the National Science Foundation of China(11171223) |
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| 摘 要： | 主要考察来自半导体材料或者等离子体的双极流体动力学模型，它由带松弛项的Euler型方程组和电场的Pois-son型方程组耦合而成．运用经典的能量估计的方法，证明了一类有非零边值条件的初边值问题的光滑小解的适定性．即在半空间上得到了整体光滑解的存在性和唯一性．同时得到：当时问足够大时，上述光滑解收敛到多孔介质方程的解，即原初边值问题的解是有扩散波现象的．
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| 关 键 词： | 非线性扩散波 能量方法 光滑解 |
Global existence of the initial boundary problem with non-zero boundary conditions to the one-dimensional bipolar Euler-Poisson equations |
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| ZHU Yan
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LI Ye-ping.Global existence of the initial boundary problem with non-zero boundary conditions to the one-dimensional bipolar Euler-Poisson equations[J].Journal of Shanghai Normal University(Natural Sciences),2012,41(1):1-11. |
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| Authors: | ZHU Yan LI Ye-ping |
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| Institution: | (College of Mathematics and Sicences,Shanghai Normal University,Shanghai 200234,China) |
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| Abstract: | We investigate the bipolar hydrodynamic model from semiconductors or plasmas,which takes the form of relaxation of Euler equations and Poisson equations in the electric field.By using the classical energy method,we discuss the existence of smooth small solutions of the initial boundary value problem with non-zero boundary conditions.Meanwhile,we also obtain that when the time is large enough,these smooth solutions tend to the solutions of the porous media equation.The solutions of the initial value problem are diffusive phenomena. |
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| Keywords: | nonlinear diffusion waves energy method smooth solutions |
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