Hölder stability in type III thermoelastodynamics

DOI10.1007/s00419-014-0827-0zbMath1341.74045OpenAlexW1969890600MaRDI QIDQ2630400

M. Carme Leseduarte, Ramón Quintanilla

Publication date: 27 July 2016

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/26416

zbMATH Keywords

Hölder stability Lagrange identities method continuous dependence on initial data and supply terms type III thermoelastodynamics

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

Unnamed Item
On uniqueness and continuous dependence in type III thermoelasticity
Energy decay rate of a mixed type II and type III thermoelastic system
Linear growth of a liquid droplet divided from its vapour by a ``soap bubble-like fluid interface
On the time decay of solutions in porous-thermo-elasticity of type II
On thermoelastic bodies with inner structure and microtemperatures
Continuous dependence results for initially prestressed thermoelastic bodies
Thermoelasticity without energy dissipation
Structural stability and continuous dependence of solutions of thermoelasticity of type III
The Lagrange identity method in linear thermoelasticity
Convergence and structural stability in thermoelasticity.
Some remarks on growth and uniqueness in thermoelasticity
Continuous dependence on initial-time geometry for a thermoelastic system with sign-indefinite elasticities
On the exponential decay in thermoelasticity without energy dissipation and of type III in the presence of an absorbing boundary
Stability in thermoelasticity of type III
Growth and uniqueness in thermoelasticity
A note on discontinuity waves in type III thermoelasticity
On the propagation of plane waves in type–III thermoelastic media
Continuous dependence on data for solutions of partial differential equations with a prescribed bound
Well-posedness and decay estimates for Cauchy problems of linear thermoelastic systems of type III in 3-D
Phragmén–Lindelöf alternative and continuous dependence-type results for the thermoelasticity of type III
On the impossibility of localization in linear thermoelasticity
Global existence for the three-dimensional thermoelastic equations of Type II
Analyticity of solutions in type III thermoelastic plates
Improved estimates for continuous data dependence in linear elastodynamics
Continuous Dependence and Instability in Linear Thermoelasticity
A unified procedure for construction of theories of deformable media. I. Classical continuum physics
Energy bounds for some non-standard problems in thermoelasticity
Boundary stabilization of memory type in thermoelasticity of type III
Thermopiezoelectricity without energy dissipation
Damping of end effects in a thermoelastic theory

This page was built for publication: Hölder stability in type III thermoelastodynamics