Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback

From MaRDI portal
Publication:468617

DOI10.1016/j.na.2014.08.021zbMath1304.35096OpenAlexW1987043622MaRDI QIDQ468617

Shugen Chai, Jing Li

Publication date: 7 November 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.08.021




Related Items (25)

Stabilization of the variable-coefficient structural acoustic model with curved middle surface and delay effects in the structural componentExistence and energy decay rates of solutions to the variable-coefficient Euler-Bernoulli plate with a delay in localized nonlinear internal feedbackBlow-up of solution for a viscoelastic wave equation with delayEnergy decay for the wave equation of variable coefficients with acoustic boundary conditions in domains with nonlocally reacting boundaryUniform decay rates for a variable-coefficient structural acoustic model with curved interface on a shallow shellEnergy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditionsEnergy decay for a wave equation of variable coefficients with logarithmic nonlinearity source termExact boundary controllability of the structural acoustic model with variable coefficientsEnergy decay for wave equation of variable coefficients with dynamic boundary conditions and time-varying delayStabilization of the viscoelastic wave equation with variable coefficients and a delay term in nonlocal boundary feedbackGeneral stability and exponential growth of nonlinear variable coefficient wave equation with logarithmic source and memory termStabilization for wave equation of variable coefficients with Balakrishnan-Taylor damping and source termEnergy decay of variable-coefficient wave equation with acoustic boundary conditions and delayEnergy decay rate for a von Karman system with a boundary nonlinear delay termGlobal solutions and blow-up for the wave equation with variable coefficients. I: Interior supercritical sourceEnergy decay rate for the wave equation with variable coefficients and boundary source termStabilization for the wave equation with variable coefficients and Balakrishnan-Taylor dampingDecay of an extensible viscoelastic plate equation with a nonlinear time delayGeneral stability of a viscoelastic variable coefficients plate equation with time-varying delay in localized nonlinear internal feedbackGlobal existence and general decay estimates for the viscoelastic equation with acoustic boundary conditionsAsymptotic stability of a viscoelastic problem with time-varying delay in boundary feedbackExact Controllability of Structural Acoustic Interactions with Variable CoefficientsUniform stabilization for a semilinear wave equation with variable coefficients and nonlinear boundary conditionsAsymptotic stability of memory-type Euler-Bernoulli plate with variable coefficients and time delayStabilization of the transmission wave equation with variable coefficients and interior delay



Cites Work


This page was built for publication: Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback