Elastic membrane equation with dynamic boundary conditions and infinite memory

DOI10.5269/bspm.47621OpenAlexW4210378435MaRDI QIDQ6189548

Ahlem Merah, Fatiha Mesloub

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.47621

zbMATH Keywords

energy decaydynamic boundary conditionsinfinite memoryelastic membrane equationBalakrishnan-Taylor damping

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behavior for a weak viscoelastic wave equations with a dynamic boundary and time varying delay term
• On the stabilization of a non-dissipative Cauchy viscoelastic problem
• Elastic membrane equation with memory term and nonlinear boundary damping: global existence, decay and blowup of the solution
• Asymptotic stability of abstract dissipative systems with infinite memory
• On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms
• General decay rates for a viscoelastic wave equation with dynamic boundary conditions and past history
• Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
• Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions
• Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Global solvability for the quasilinear damped wave equation with nonlinear second-order boundary conditions
• Existence of positive solutions for a class of \((p(x),q(x))\)-Laplacian systems
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation
• Polynomial decay rate for Kirchhoff type in viscoelasticity with logarithmic nonlinearity and not necessarily decreasing kernel
• An asymptotic behavior of positive solutions for a new class of elliptic systems involving of \(( p( x) ,q( x) ) \)-Laplacian systems
• General decay rate estimates for viscoelastic dissipative systems
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Asymptotic stability in viscoelasticity
• Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions
• Exponential stability and blow up for a problem with Balakrishnan–Taylor damping
• Optimal decay rates for the viscoelastic wave equation
• Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis
• Asymptotic Decay for Some Differential Systems with Fading Memory
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Blow up and global existence in a nonlinear viscoelastic wave equation
• Existence of positive weak solutions for a class of Kirrchoff elliptic systems with multiple parameters
• Exponential decay of non-linear wave equation with a viscoelastic boundary condition
• A well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms
• Global existence of solutions to a viscoelastic non-degenerate Kirchhoff equation
• Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
• Galerkin method for nonlocal mixed boundary value problem for the Moore‐Gibson‐Thompson equation with integral condition
• The maximum norm analysis of a nonmatching grids method for a class of parabolic $p(x)$-Laplacien equation
• Existence of positive solutions of Kirchhoff hyperbolic systems with multiple parameters

This page was built for publication: Elastic membrane equation with dynamic boundary conditions and infinite memory