Well-posedness and stability for a Moore-Gibson-Thompson equation with internal distributed delay

DOI10.5890/DNC.2021.12.009zbMath1485.45012OpenAlexW3194252130MaRDI QIDQ5862919

Abdelkader Braik, Khaled Zennir, Abderrahmane Beniani

Publication date: 10 March 2022

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2021.12.009

zbMATH Keywords

well-posednessLyapunov functionalMoore-Gibson-Thompson equationdecay of solutioninternal distributed delay

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability theory for integral equations (45M10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global attractors for a third order in time nonlinear dynamics
• Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy
• The Moore-Gibson-Thompson equation with memory in the critical case
• On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation
• Moore-Gibson-Thompson equation with memory. II: General decay of energy.
• Exponential stability of the wave equation with boundary time-varying delay
• Stabilization of the wave equation with boundary or internal distributed delay.
• On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity
• Semigroups of linear operators and applications to partial differential equations
• On a fourth-order equation of Moore-Gibson-Thompson type
• A uniform stability result for thermoelasticity of type III with boundary distributed delay
• Well posedness and exponential stability in a wave equation with a strong damping and a strong delay
• Stabilization of second order evolution equations with unbounded feedback with delay
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• Galerkin method for nonlocal mixed boundary value problem for the Moore‐Gibson‐Thompson equation with integral condition
• Well-posedness and exponential stability of an abstract evolution equation with infinite memory and time delay