| 带耗散项的浅水波方程的整体边界稳定性 |
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| 引用本文： | 杨灵娥,郭柏灵. 带耗散项的浅水波方程的整体边界稳定性[J]. 数学进展, 2005, 34(3): 343-354 |
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| 作者姓名： | 杨灵娥 郭柏灵 |
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| 作者单位： | 1. 佛山大学数学系,佛山,广东,528000
2. 北京应用物理与计算数学研究所,北京,100088 |
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| 基金项目： | The National Science Foundation of Guangdong Province,China(No．031495) |
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| 摘 要： | 在[0,1]区间上研究带耗散项的浅水波方程由边界反馈引起的整体指数稳定性.在控制边界条件u(0)=u_x(1)=u_(xx)(0)=δu_(xxx)(1)-εu(1)u_(xx)(1)-(?)(u(1))=0之下,证明了解的H1整体指数稳定性和H4整体渐进稳定性.
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| 关 键 词： | Camassa-Hohn方程 边齐稳定性 整体指数稳定性 |
Global Boundary Stabilization of the Shallow Water Equation With Dissipation |
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| YANG Ling-e,GUO Bo-ling. Global Boundary Stabilization of the Shallow Water Equation With Dissipation[J]. Advances in Mathematics(China), 2005, 34(3): 343-354 |
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| Authors: | YANG Ling-e GUO Bo-ling |
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| Abstract: | The problem of global exponential stabilization by boundary feedback for the shallow water equation with dissipation on the interval [0, 1] is considered. Under the control law of the form u(0) = ux(1) = uxx(0) = δuxxx(1) - εu(1)uxx(1) - ψ(u(1)) = 0, we prove the H1-global exponential stability, H4-global asymptotic stability. |
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| Keywords: | Camassa-Holm equation boundary stabilization global exponential stability |
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