Navier-Stokes方程组的最优控制问题 |
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引用本文: | 石荣.Navier-Stokes方程组的最优控制问题[J].江汉大学学报(自然科学版),2009,37(3):20-24. |
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作者姓名: | 石荣 |
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作者单位: | 宁夏大学数学计算机学院,宁夏,银川,750021 |
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摘 要: | Navier-Stokes方程组是描述不可压缩的粘性流体运动的数学模型,具有很强的应用背景.20世纪80年代有学者开始研究Navier-Stokes方程组的最优控制问题,并且取得了一系列丰硕的研究成果.文章旨在对Navier-Stokes方程组的最优控制方面的研究现状进行介绍,并提出了进一步的研究方向.
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关 键 词: | 最优控制 Navier-Stokes方程组 最大值原理 二阶最优性条件 |
Optimal Control Problems of Navier-Stokes Equations |
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Abstract: | The Navier-Stokes equations are a widely accepted model for the behavior of viscous incompressible fluids,which have very strong applied background.The analysis of controlling these equations has a relative long history,it appears that such problems received increased attention since the 1980s and obtain a series of research result.Summarizes the optimal control problems of the Navier-Stokes equations and proposes the research direction. |
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Keywords: | optimal control Navier-Stokes equations maximum principle second-order optimality condition |
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