On the exponential decay of solutions of a coupled system of dissipative Benjamin-Bona-Mahony type equations in domain with moving boundaries

DOI10.1007/s10440-014-0003-0zbMath1334.35364OpenAlexW2036750477MaRDI QIDQ267760

Marcio V. Ferreira, Celene Buriol, Vanilde Bisognin

Publication date: 11 April 2016

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-0003-0

zbMATH Keywords

exponential decaycoupled system of BBM typeFaedo-Galerkin's method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• On equations of Benjamin-Bona-Mahony type
• Remarks on equations of Benjamin-Bona-Mahony type
• KdV equation in domains with moving boundaries
• Coupled system of Korteweg-de Vries equations type in domains with moving boundaries
• A model system for strong interaction between internal solitary waves
• Exponential stabilization of a coupled system of Korteweg-de Vries equations with localized damping.
• Stabilization of the Gear–Grimshaw system on a periodic domain
• Weak and Strong Interactions between Internal Solitary Waves
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• On a model system for the oblique interaction of internal gravity waves
• Strong Interactions between Solitary Waves Belonging to Different Wave Modes
• Uniform stabilization of a nonlinear dispersive system
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item