Long-time behavior for fourth-order wave equations with strain term and nonlinear weak damping term

DOI10.3934/DCDSS.2021110zbMath1480.35051OpenAlexW3205555255MaRDI QIDQ2062969

Yanbing Yang, Chao Yang

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021110

zbMATH Keywords

asymptotic behaviorfourth-order wave equationstrain termweakly dissipative term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Weak solutions to PDEs (35D30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Attractors for weakly damped beam equations with \(p\)-Laplacian
• Fourth order wave equations with nonlinear strain and source terms
• Dynamics around the ground state of a nonlinear evolution equation
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Asymptotic limit and decay estimates for a class of dissipative linear hyperbolic systems in several dimensions
• Global existence, asymptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term
• Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation
• Global existence and energy decay of solutions for a wave equation with non-constant delay and nonlinear weights
• Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source
• Long-time behavior of a class of viscoelastic plate equations
• Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations
• On the initial-boundary problem for fourth order wave equations with damping, strain and source terms
• Uniform attractors for non-autonomous plate equations with \(p\)-Laplacian perturbation and critical nonlinearities
• Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness
• Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
• Asymptotic behavior of evolution systems in arbitrary Banach spaces using general almost periodic splittings
• A class of fourth order wave equations with dissipative and nonlinear strain terms
• Long-time behavior of a class of thermoelastic plates with nonlinear strain
• FINITE TIME BLOW UP OF FOURTH-ORDER WAVE EQUATIONS WITH NONLINEAR STRAIN AND SOURCE TERMS AT HIGH ENERGY LEVEL
• On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type
• A hybrid legendre tau method for the solution of a class of nonlinear wave equations with nonlinear dissipative terms
• Similarity Reduction and Integrability for the Nonlinear Wave Equations from EPM Model
• The Effect of Microstructure on Elastic-Plastic Models
• A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
• Existence and non-existence of global solutions for a class of non-linear wave equations
• Sharp decay rates for a class of nonlinear viscoelastic plate models
• Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation

This page was built for publication: Long-time behavior for fourth-order wave equations with strain term and nonlinear weak damping term