| 变系数对流-扩散方程的最优控制 |
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| 引用本文： | 汤国生,燕善俊. 变系数对流-扩散方程的最优控制[J]. 徐州工程学院学报, 2008, 23(2) |
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| 作者姓名： | 汤国生 燕善俊 |
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| 作者单位： | 1. 江苏科技大学张家港棱区,江苏,张家港,215600
2. 徐州工程学院,江苏,徐州,221008 |
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| 基金项目： | 徐州工程学院科研资助项目 |
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| 摘 要： | 研究一类一维变系数对流-扩散方程的最优控制问题.把对流速度系数作为控制项,对状态方程作恰当的变换,运用实分析、抛物方程弱解等理论对目标函数关于控制h微分,得到最优控制所需的必要条件,即最优系统是由状态方程和伴随方程以及一椭圆型变分不等式组成的.
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| 关 键 词： | 变系数对流-扩散方程 最优控制 极小化序列 目标函数 最优系统 |
Optimal Control of Convection--diffusion Equation with Variable Coefficients |
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| TANG Guo-sheng,YAN Shan-jun. Optimal Control of Convection--diffusion Equation with Variable Coefficients[J]. Journal of Xuzhou Istitute of Technology, 2008, 23(2) |
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| Authors: | TANG Guo-sheng YAN Shan-jun |
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| Abstract: | The question of the optimal control of a kind of one dimension convection-diffusion equation with variable coefficients is discussed in the paper.Making the convection velocity coefficient the control term,with proper changes to state equation,and differentiating the objective function with respect to the control through theories of real analysis and weak solution of parabolic equation,the necessary condition that the optimal system consists of state equation,adjoint equation,and an elliptic variational inequality is arrived at. |
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| Keywords: | convection-diffusion equation with variable coefficients optimal control minimizing sequence objective function optimality system |
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