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Asymptotic behavior of Kawahara equation with memory effect by Filho, Roberto de A. Capistrano; Chentouf, Boumediène; de Jesus, Isadora Maria is a scholarly article available to read on EtoBox.

What is Asymptotic behavior of Kawahara equation with memory effect about?

In this work, we are interested in a detailed qualitative analysis of the Kawahara equation, a model that has numerous physical motivations such as magneto-acoustic waves in a cold plasma and gravity waves on the surface of a heavy liquid. First, we design a feedback control law, which combines a damping component and another one of finite memory-type. Then, we are capable of proving that the problem is well-posed under a condition involving the feedback gains of the boundary control and the memory kernel. Afterwards, it is shown that the energy associated with this system exponentially decays.

Author

Filho, Roberto de A. Capistrano; Chentouf, Boumediène; de Jesus, Isadora Maria

Published

2023

Language

EN