CONTROL AND STABILIZATION OF THE PERIODIC FIFTH ORDER KORTEWEG-DE VRIES EQUATION

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CONTROL AND STABILIZATION OF THE PERIODIC FIFTH ORDER KORTEWEG-DE VRIES EQUATION

机译：周期五阶Korteweg-de VRies方程的控制与稳定

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We establish local exact control and local exponential stability of periodic solutions of fifth order Korteweg-de Vries type equations in H-s(T), s > 2. A dissipative term is incorporated into the control which, along with a propagation of regularity property, yields a smoothing effect permitting the application of the contraction principle.

机译：我们在Hs（T），s> 2中建立五阶Korteweg-de Vries型方程的周期解的局部精确控制和局部指数稳定性。耗散项被纳入到控制中，随着正则性的传播而产生平滑效果允许应用收缩原理。

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《ESAIM》 |2019年第1期|38.1-38.28|共28页
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Calif State Univ Bell Tower East 2762 One Univ Dr Camarillo CA 93012 USA;

Ecole Polytech Fed Lausanne Batiment Math Stn 8 CH-1015 Lausanne Switzerland;

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正文语种 eng
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关键词
Korteweg-de Vries equation; periodic domain; propagation of regularity; exact controllability; stabilization;

机译：Korteweg-de Vries方程;周期域规律性的传播;精确的可控性;稳定化;

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专利

1. Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain [J] . Laurent C., Rosier L., Zhang B.-Y. Communications in Partial Differential Equations . 2010,第4a6期

机译：周期域上Korteweg-de Vries方程的控制和镇定
2. Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain [J] . Camille Laurent, Lionel Rosier Communications in Partial Differential Equations . 2010,第4期

机译：周期域上Korteweg-de Vries方程的控制和镇定
3. Boundary stabilization of the korteweg-de vries equation and the Korteweg-de Vries-Burgers equation [J] . Jia C., Zhang B.-Y. Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2012,第1期

机译：Korteweg-de Vries方程和Korteweg-de Vries-Burgers方程的边界稳定
4. New exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation [C] . 2011 International Conference on Management Science and Industrial Engineering . 2011

机译：Korteweg-de Vries Burgers方程和Korteweg-de Vries方程的新精确解
5. Analysis and Control of the Boussinesq and Korteweg-de Vries equations. [D] . Rivas, Ivonne. 2011

机译：Boussinesq和Korteweg-de Vries方程的分析和控制。
6. Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations [O] . D. V. Chudnovsky, G. V. Chudnovsky 1999

机译：使用正交多项式和Korteweg-de Vries方程求解脉冲宽度调制问题
7. Control and Stabilization of the Periodic Fifth Order Korteweg-de Vries Equation [O] . Flores, Cynthia, Smith, Derek L. 2017

机译：周期性五阶Korteweg-de Vries的控制与稳定方程
8. Analytical and Numerical Aspects of Certain Nonlinear Evolution Equations. 4. Numerical, Modified Korteweg-de Vries Equation [R] . Lee, M. H. 1988

机译：一类非线性发展方程的解析和数值方面。 4.数值，修正的Korteweg-de Vries方程

CONTROL AND STABILIZATION OF THE PERIODIC FIFTH ORDER KORTEWEG-DE VRIES EQUATION

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