Energy decay estimates of solutions for viscoelastic damped wave equations in \(\mathbb{R}^N\)
From MaRDI portal
Publication:2049004
DOI10.1007/s40840-021-01097-9zbMath1471.35039OpenAlexW3141181812MaRDI QIDQ2049004
Publication date: 24 August 2021
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-021-01097-9
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Pseudohyperbolic equations (35L82)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal decay rates and asymptotic profile for the plate equation with structural damping
- Asymptotic behavior for abstract evolution differential equations of second order
- Decay property for a plate equation with memory-type dissipation
- On the uniform decay in viscoelastic problems in \(\mathbb R^n\)
- Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
- On the development of the theory of the solitary wave. A historical essay
- Global existence and exponential decay rates for the Westervelt equation
- Longtime dynamics of the Kirchhoff equation with strong damping and critical nonlinearity on \(\mathbb{R}^N\)
- Decay rates of Volterra equations on \(\mathbb R^N\)
- Decay property for second order hyperbolic systems of viscoelastic materials
- Exponential and polynomial stability of a wave equation for boundary memory damping with singular kernels
- Convergence to equilibrium for second order differential equations with weak damping of memory type
- Thermodynamics of electromagnetic isothermal systems with memory
- Wave propagation in media with singular memory
- Stability of global bounded solutions to a nonautonomous nonlinear second order integro-differential equation
- Decay rates of solutions of an anisotropic inhomogeneous \(n\)-dimensional viscoelastic equation with polynomially decaying kernels
- Energy decay estimates for wave equations with a fractional damping.
- Wave equations with strong damping in Hilbert spaces
- Optimal leading term of solutions to wave equations with strong damping terms
- The influence of data regularity in the critical exponent for a class of semilinear evolution equations
- Asymptotic profiles for wave equations with strong damping
- Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space
- Remarks on large time behavior of the \(L^2\)-norm of solutions to strongly damped wave equations.
- General decay estimates for a Cauchy viscoelastic wave problem
- General decay of solutions of a viscoelastic equation
- Asymptotic stability in viscoelasticity
- Convergence to steady states of solutions of semilinear evolutionary integral equations
- Asymptotic expansion of the \(L^{2}\)-norm of a solution of the strongly damped wave equation
- A second order fractional differential equation under effects of a super damping
- Global existence for a quasi-linear evolution equation with a non-convex energy
- Equipartition of energy in linearized 3-D viscoelasticity
- Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
- Global existence of small solutions to a class of nonlinear evolution equations
- On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
- A Model Equation for Viscoelasticity with a Strongly Singular Kernel
- Singular Relaxation Moduli and Smoothing in Three-Dimensional Viscoelasticity
- On finite anti-plane shear for imcompressible elastic materials
- An Existence Result on a Volterra Equation in a Banach Space
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- New decay estimates for linear damped wave equations and its application to nonlinear problem
- Global smooth solutions for a class of parabolic integrodifferential equations
- Note on intrinsic decay rates for abstract wave equations with memory
- ENERGY DECAY OF ELECTROMAGNETIC SYSTEMS WITH MEMORY
- General decay of energy for a viscoelastic equation with nonlinear damping
- Long-time stabilization of solutions to a phase-field model with memory
- Global stability of a fractional partial differential equation
This page was built for publication: Energy decay estimates of solutions for viscoelastic damped wave equations in \(\mathbb{R}^N\)
