Global solutions and exponential decay for a nonlinear coupled system of beam equations of Kirchhoff type with memory in a domain with moving boundary
In this paper we prove the exponential decay in the case $n>2$, as time goes to infinity, of regular solutions for a nonlinear coupled system of beam equations of Kirchhoff type with memory and weak damping \begin{eqnarray*} &&u_{tt}+\Delta^2 u-M(||\nabla u||^2_{L^2(\Omega_t)}+||\nabla v|...
Main Authors: | M. L. Santos, U. R. Soares |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Szeged
2007-04-01
|
Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=269 |
Similar Items
-
Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary
by: M. L. Santos, et al.
Published: (2005-01-01) -
On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay
by: Abdelbaki Choucha, et al.
Published: (2021-01-01) -
Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions
by: M. L. Santos, et al.
Published: (2005-04-01) -
Existence, uniqueness and exponential decay of solutions to Kirchhoff equation in R^n
by: Flavio Roberto Dias Silva, et al.
Published: (2016-09-01) -
Exponential Decay for Nonlinear von Kármán Equations with Memory
by: Jum-Ran Kang
Published: (2013-01-01)