CONTROLLABILITY OF THE KORTEWEG-DE VRIES-BURGERS EQUATION

Hang Zhou; Yuecai Han

doi:10.11948/2016017

2016 Volume 6 Issue 1

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Hang Zhou, Yuecai Han. CONTROLLABILITY OF THE KORTEWEG-DE VRIES-BURGERS EQUATION[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 207-215. doi: 10.11948/2016017

Citation:

Hang Zhou, Yuecai Han. CONTROLLABILITY OF THE KORTEWEG-DE VRIES-BURGERS EQUATION[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 207-215. doi: 10.11948/2016017

CONTROLLABILITY OF THE KORTEWEG-DE VRIES-BURGERS EQUATION

Hang Zhou¹,
Yuecai Han²

1 Institute of Mathematics, Jilin University, Qianjin Street 2699, 130012 Changchun, China;
2 School of Mathematics, Jilin University, Qianjin Street 2699, 130012 Changchun, China

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Abstract

Abstract

In this paper, we investigate the controllability of the Kortewegde Vries-Burgers equation on a periodic domain T=R/(2πZ). With the aid of the classical duality approach and a fixed-point argument, the local exact controllability is established.
- Korteweg-de Vries-Burgers equation /
- controllability /
- periodic domain
MSC: 93B05;35Q53

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