Global existence and exponential decay for thermoelastic system with nonlinear distributed delay
Open Access
- 1 January 2023
- journal article
- research article
- Published by National Library of Serbia in Filomat
- Vol. 37 (26) , 8897-8908
Abstract
In this work, we consider the thermoelastic system with a nonlinear distributed delay. Under appropriate hypothesis on the weight function of the delay we prove well-posedness by using the Feado- Galerkin method. Also we establish an exponential decay result by introducing a suitable Lyapunov functional.Keywords
This publication has 18 references indexed in Scilit:
- Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delayMultidimensional Systems and Signal Processing, 2021
- Global solution for a thermoelastic system with -LaplacianApplied Mathematics Letters, 2018
- General decay of energy to a nonlinear viscoelastic two-dimensional beamApplied Mathematics and Mechanics, 2018
- Well-posedness and exponential stability for coupled Lamé system with viscoelastic term and strong dampingComputers & Mathematics with Applications, 2018
- General Stability Result of Abstract Thermoelastic System with Infinite MemoryBulletin of the Malaysian Mathematical Sciences Society, 2018
- Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay termComputers & Mathematics with Applications, 2016
- On the energy decay of the linear thermoelastic plate with memoryJournal of Mathematical Analysis and Applications, 2005
- Semigroups of Linear Operators and Applications to Partial Differential Equations1983
- On the dynamics of an axially moving beamJournal of the Franklin Institute, 1974
- Asymptotic stability in viscoelasticityArchive for Rational Mechanics and Analysis, 1970