Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (1): 109-116 .doi: https://doi.org/10.1007/s10483-006-0114-z
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TIAN Li-xin, ZHAO Zhi-feng, WANG Jing-feng
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Abstract: The boundary control of MKdV-Burgers equation was considered by feedback control on the domain [0,1]. The existence of the solution of MKdV-Burgers equation with the feedback control law was proved. On the base, priori estimates for the solution was given. At last, the existence of the weak solution of MKdV-Burgers equation was proved and the global-exponential and asymptotic stability of the solution of MKdV-Burgers equation was given.
Key words: boundary control, feedback control law, MKdV-Burgers equation
2010 MSC Number:
O232
35Q53
TIAN Li-xin;ZHAO Zhi-feng;WANG Jing-feng. BOUNDARY CONTROL OF MKDV-BURGERS EQUATION. Applied Mathematics and Mechanics (English Edition), 2006, 27(1): 109-116 .
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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-006-0114-z
https://www.amm.shu.edu.cn/EN/Y2006/V27/I1/109
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