Optimal Energy Decay in a One-Dimensional Wave-Heat-Wave System

DOI10.1007/978-3-030-46079-2_17zbMath1501.47071arXiv1909.00801OpenAlexW3034786702MaRDI QIDQ5115938

Abraham C. S. Ng

Publication date: 21 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00801

zbMATH Keywords

energyresolvent estimates\(C_0\)-semigroupsrates of decaycoupled wave-heat equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (3)

Direct integrals of strongly continuous operator semigroups ⋮ Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations ⋮ Frequency domain approach to decay rates for a coupled hyperbolic-parabolic system

Cites Work

• Stabilization via homogenization
• Optimal energy decay in a one-dimensional coupled wave-heat system
• Optimal polynomial decay of functions and operator semigroups
• Non-uniform stability for bounded semi-groups on Banach spaces
• Functional analysis, Sobolev spaces and partial differential equations
• Optimal rates of decay for operator semigroups on Hilbert spaces
• Optimal energy decay in a one-dimensional wave-heat system with infinite heat part
• Vector-valued Laplace Transforms and Cauchy Problems
• Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena
• Optimal Energy Decay for the Wave-Heat System on a Rectangular Domain
• Exponential stability for linear evolutionary equations

This page was built for publication: Optimal Energy Decay in a One-Dimensional Wave-Heat-Wave System