Decay of solutions in nonsimple thermoelastic bars

DOI10.1016/j.ijengsci.2010.04.014zbMath1231.74273OpenAlexW2127174656MaRDI QIDQ660623

Hugo D. Fernández Sare, Ramón Quintanilla, Jaime Edilberto Muñoz Rivera

Publication date: 4 February 2012

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2010.04.014

zbMATH Keywords

analyticityexponential decaylocalization of solutionsnonsimple thermoelastic bars

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (16)

Exponential decay for a strain gradient porous thermoelasticity with second sound ⋮ On the time decay of solutions in micropolar viscoelasticity ⋮ Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials ⋮ On the time decay of solutions for non-simple elasticity with voids ⋮ Analysis of two thermoelastic problems with the Green-Lindsay model ⋮ On uniform decay of a nonsimple thermoelastic bar with memory ⋮ Decay for thermoelastic Green-Lindsay plates in bounded and unbounded domains ⋮ On the rate of decay in interacting continua with memory ⋮ Exact observability and controllability for a nonsimple elastic rod ⋮ On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity ⋮ Exponential decay in nonsimple thermoelasticity of type III ⋮ A theory of thermopiezoelectricity with strain gradient and electric field gradient effects ⋮ Analysis for the strain gradient theory of porous thermoelasticity ⋮ Asymptotic analysis of a nonsimple thermoelastic rod ⋮ Stability aspects in a nonsimple thermoelastic diffusion problem ⋮ Approximate controllability of abstract nonsimple thermoelastic problem

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential stability in thermoelasticity with microtemperatures
• Exponential decay in a thermoelastic mixture of solids
• Thermoelastic models of continua
• Exponential decay in one-dimensional porous-thermo-elasticity
• On the decay of solutions in nonsimple elastic solids with memory
• Semigroups of linear operators and applications to partial differential equations
• Slow decay for one-dimensional porous dissipation elasticity
• Decay rates for the three-dimensional linear system of thermoelasticity
• A note on the equations of a thermoelastic plate
• Theories of elasticity with couple-stress
• Multipolar continuum mechanics
• On the time decay of solutions in one-dimensional theories of porous materials
• On the time polynomial decay in elastic solids with voids
• Micro-structure in linear elasticity
• Stability in thermoelasticity of type III
• The Cauchy problem for the system of partial differential equations describing nonsimple thermoelasticity
• DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III

This page was built for publication: Decay of solutions in nonsimple thermoelastic bars