On uniform decay of a nonsimple thermoelastic bar with memory
From MaRDI portal
Publication:1947336
DOI10.1016/j.jmaa.2013.01.059zbMath1307.74024OpenAlexW2018929762MaRDI QIDQ1947336
Publication date: 22 April 2013
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.059
Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (10)
Approximate controllability of nonsimple elastic plate with memory ⋮ Exponential decay for a strain gradient porous thermoelasticity with second sound ⋮ Exponential stability of a flexible structure with history and thermal effect. ⋮ Exact observability and controllability for a nonsimple elastic rod ⋮ Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin–Pipkin’s model ⋮ Asymptotic analysis of a nonsimple thermoelastic rod ⋮ The sharp decay rate of thermoelastic transmission system with infinite memories ⋮ Decay and numerical results in nonsimple viscoelasticity ⋮ Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory ⋮ Approximate controllability of abstract nonsimple thermoelastic problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Decay of solutions in nonsimple thermoelastic bars
- Global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory
- Thermoelastic models of continua
- Long-time behavior for a nonlinear plate equation with thermal memory
- On the decay of solutions in nonsimple elastic solids with memory
- Semigroups of linear operators and applications to partial differential equations
- Dissipativity conditions and variational principles for the heat flux equation with memory
- On the exponential stability of linear thermoelasticity
- Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type
- On the type of \(C_ 0\)-semigroup associated with the abstract linear viscoelastic system
- Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation
- Theories of elasticity with couple-stress
- Multipolar continuum mechanics
- A generalized dynamical theory of thermoelasticity
- A general theory of heat conduction with finite wave speeds
- On the energy decay of the linear thermoelastic plate with memory
- Exponential stability of a linear viscoelastic bar with thermal memory
- Micro-structure in linear elasticity
- The Cauchy problem for the system of partial differential equations describing nonsimple thermoelasticity
- On the Spectrum of C 0 -Semigroups
- Energy decay for hyperbolic thermoelastic systems of memory type
- STABILITY OF ABSTRACT LINEAR THERMOELASTIC SYSTEMS WITH MEMORY
- Thermoelasticity without energy dissipation of nonsimple materials
This page was built for publication: On uniform decay of a nonsimple thermoelastic bar with memory