Boundary linear stabilization of the modified generalized Korteweg–de Vries–Burgers equation

Boundary linear stabilization of the modified generalized Korteweg–de Vries–Burgers equation

Abstract The linear stabilization problem of the modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) is considered when the spatial variable lies in [0,1] $[0,1]$. First, the existence and uniqueness of global solutions are proved. Next, the exponential stability of the equation is esta...

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Bibliographic Details
Main Authors: Nejib Smaoui, Boumediène Chentouf, Ala’ Alalabi
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Advances in Difference Equations
Subjects:
Modified generalized Korteweg–de Vries–Burgers equation
Well-posedness
Exponential stability
Boundary control
Online Access:http://link.springer.com/article/10.1186/s13662-019-2387-7

Internet

http://link.springer.com/article/10.1186/s13662-019-2387-7

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