Well‐posedness and exponential decay for the Moore–Gibson–Thompson equation with time‐dependent memory kernel

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Initial value problems for nonlinear higher-order PDEs (35G25) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

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.
The Khokhlov-Zabolotskaya-Kuznetsov equation
Semigroups of linear operators and applications to partial differential equations
Moore-Gibson-Thompson equation with memory in a history framework: a semigroup approach
A note on the Moore-Gibson-Thompson equation with memory of type II
Longtime dynamics for a nonlinear viscoelastic equation with time-dependent memory kernel
Asymptotic behavior of solutions for hyperbolic equations with time-dependent memory kernels
General decay rate for a Moore-Gibson-Thompson equation with infinite history
New general decay result for a fourth-order Moore-Gibson-Thompson equation with memory
A general stability result for a viscoelastic Moore-Gibson-Thompson equation in the whole space
Optimal scalar products in the Moore-Gibson-Thompson equation
Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics
Asymptotic stability in viscoelasticity
Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data
An analysis of nonhomogeneous Kuznetsov's equation: Local and global well-posedness; exponential decay
A model of viscoelasticity with time-dependent memory kernels
Viscoelasticity with time-dependent memory kernels, II: asymptotic behavior of solutions
New general decay results for a Moore–Gibson–Thompson equation with memory
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item

This page was built for publication: Well‐posedness and exponential decay for the Moore–Gibson–Thompson equation with time‐dependent memory kernel