Exponential decay and well-posedness for a one-dimensional porous-elastic system with distributed delay

DOI10.1080/00036811.2019.1703958zbMath1476.35047OpenAlexW2996503546WikidataQ115552855 ScholiaQ115552855MaRDI QIDQ5163453

Amin Guerouah, Lamine Bouzettouta, Houssem E. Khochemane

Publication date: 4 November 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1703958

zbMATH Keywords

exponential stabilityLyapunov methoddistributed delaysemigroup theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Asymptotic stability in control theory (93D20) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items

Stabilization of a microtemperature porous-elastic system with distributed delay-time, Asymptotic behavior of Timoshenko beams with delayed viscoelasticity acting on the shear force, Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms, A stability and numerical study of the solutions of a Timoshenko system with distributed delay, General decay for a Timoshenko-type system for thermoelasticity of type III with delay, past history and distributed delay, Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numerics, Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay, Unnamed Item, Unnamed Item

Cites Work

• Stabilization of the wave equation with boundary or internal distributed delay.
• Uniform decay in weakly dissipative Timoshenko system with internal distributed delay feedbacks
• Linear elastic materials with voids
• The viscoelastic behavior of linear elastic materials with voids
• Slow decay for one-dimensional porous dissipation elasticity
• General decay of solutions in one-dimensional porous-elastic system with memory
• On the time decay of solutions in one-dimensional theories of porous materials
• A continuum theory for granular materials
• Exponential decay in one-dimensional porous dissipation elasticity
• Corrigendum: Exponential Decay in One-Dimensional Porous Dissipation Elasticity
• Stabilization of a type III thermoelastic Timoshenko system in the presence of a time‐distributed delay
• Exponential stabilization of the full von Kármán beam by a thermal effect and a frictional damping and distributed delay
• Energy decay result in a Timoshenko-type system of thermoelasticity of type III with distributive delay
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item