Optimal rates of decay in 2-d thermoelasticity with second sound
DOI10.1063/1.4734239zbMath1282.74009OpenAlexW2071005197MaRDI QIDQ2865499
Hugo D. Fernández Sare, Jaime Edilberto Muñoz Rivera
Publication date: 29 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4734239
exponential stabilityglobal in time solutionpolynomial stabilityCattaneo's lawmodified heat equationsemigroup frameworkasymptotic behavoiur of solutionsthermoelastic plate model
Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) General theory of partial differential operators (47F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)
Related Items (27)
Cites Work
- Unnamed Item
- Optimal polynomial decay of functions and operator semigroups
- On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
- Semigroups of linear operators and applications to partial differential equations
- On the constitutive relations for second sound in elastic solids
- Exponential stability and analyticity of abstract linear thermoelastic systems
- A note on the equations of a thermoelastic plate
- Large solutions and smoothing properties for nonlinear thermoelastic systems
- On the energy decay of the linear thermoelastic plate with memory
- Regularizing properties and propagations of singularities for thermoelastic plates
- Analyticity, and lack thereof, of thermo-elastic semigroups
- On the essential spectrum of a semigroup of thermoelasticity
- Exponential Stability of a Thermoelastic System with Free Boundary Conditions without Mechanical Dissipation
- Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
- Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type
- On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms
This page was built for publication: Optimal rates of decay in 2-d thermoelasticity with second sound