Large time behavior of solutions to elastic wave with structural damping
From MaRDI portal
Publication:2135153
DOI10.1016/J.JDE.2022.04.017zbMath1492.35160OpenAlexW4224254787MaRDI QIDQ2135153
Publication date: 4 May 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.04.017
energy estimateslower boundselastic wavesasymptotic profilestructural dampingKelvin-Voigt dampingFourier space analysis
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic systems (35L52)
Related Items (2)
Large-time asymptotic behavior for the classical thermoelastic system ⋮ Decay estimates of solutions to nonlinear elastic wave equations with viscoelastic terms in the framework of \(L^p\)-Sobolev spaces
Cites Work
- Unnamed Item
- Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions
- Asymptotic profiles of solutions for structural damped wave equations
- Wave equations with strong damping in Hilbert spaces
- Optimal decay rates for the system of elastic waves in \(\mathbb R^n\) with structural damping
- Asymptotic profiles for wave equations with strong damping
- Asymptotic profile of solutions for semilinear wave equations with structural damping
- Remarks on large time behavior of the \(L^2\)-norm of solutions to strongly damped wave equations.
- Energy decay rates for the elasticity system with structural damping in the Fourier space
- Diffusion phenomena for the wave equation with structural damping in the \(L^p-L^q\) framework
- An application of \(L^p-L^q\) decay estimates to the semi-linear wave equation with parabolic-like structural damping
- Structurally damped elastic waves in 2D
- L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models
- Semilinear structural damped waves
- Global existence of small solutions to a class of nonlinear evolution equations
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- Weakly coupled systems of semilinear elastic waves with different damping mechanisms in 3D
- Decay properties and asymptotic profiles for elastic waves with Kelvin–Voigt damping in 2D
This page was built for publication: Large time behavior of solutions to elastic wave with structural damping