Energy decay rates for the elasticity system with structural damping in the Fourier space

DOI10.1016/J.JMAA.2017.03.017zbMath1379.35032OpenAlexW2596915674MaRDI QIDQ2400660

Mijing Wu, Shugen Chai, Sheng-Jia Li

Publication date: 29 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.03.017

zbMATH Keywords

Fourier transformHaraux-Komornik inequalityalmost optimal decay estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Classical linear elasticity (74B05)

Related Items (3)

Large time behavior of solutions to elastic wave with structural damping ⋮ A study on damping rates and boundary feedback control in distributed parameter vibrating systems ⋮ Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions

Cites Work

• Energy decay estimates for wave equations with a fractional damping.
• Wave equations with strong damping in Hilbert spaces
• Optimal decay rates for the system of elastic waves in \(\mathbb R^n\) with structural damping
• Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space
• Rates of decay for structural damped models with decreasing in time coefficients
• On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
• Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
• Local well posedness for strongly damped wave equations with critical nonlinearities

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