Exponential decay in one-dimensional porous-thermo-elasticity

From MaRDI portal
Publication:986792

DOI10.1016/j.mechrescom.2005.02.015zbMath1192.74156OpenAlexW1985693089MaRDI QIDQ986792

Pablo S. Casas, Ramón Quintanilla

Publication date: 12 August 2010

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechrescom.2005.02.015




Related Items (only showing first 100 items - show all)

General stability result for a porous thermoelastic system with infinite history and microtemperatures effectsDynamic analysis to the fractional order thermoelastic problem of porous structureEnergy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approachStabilization of a coupled hyperbolic equations with a heat equation of second soundEnergy decay for a weakly nonlinear damped porous system with a nonlinear delayQuasi-stability and attractors for a porous-elastic system with history memoryAn a priori error analysis of a Lord-Shulman poro-thermoelastic problem with microtemperaturesTime-Rescaling regression method for exponential decay time series predictionsOptimal decay for a porous elasticity system with memoryEnergy decay in thermoelastic bodies with radial symmetryTheoretical and numerical stability results for a viscoelastic swelling porous-elastic system with past historyExponential decay for a strain gradient porous thermoelasticity with second soundOn porous-elastic system with localized dampingExponential decay of solution to the viscoelastic porous-thermoelastic system of type III with boundary time-varying delayAsymptotical stability for memory-type porous thermoelastic system of type III with constant time delayLong-time dynamics for nonlinear porous thermoelasticity with second sound and delayWell-posedness and general decay for nonlinear damped porous thermoelastic system with second sound and distributed delay termsWell-posedness and general decay for a porous-elastic system with microtemperatures effects and time-varying delay termNumerical Analysis of a Problem Involving a Viscoelastic Body with Double PorosityNew general decay of solutions in a porous-thermoelastic system with infinite memoryPorous elastic system with Kelvin–Voigt: analyticity and optimal decay rateOn the stabilization of linear porous elastic materials by microtemperature effect and porous dampingOn the time decay of solutions in porous-elasticity with quasi-static microvoidsAn a priori error analysis of poro-thermoviscoelastic problemsExplicit stability for a porous thermoelastic system with second sound and distributed delay termRates of decay for porous elastic system weakly dissipativeThermo-poroacoustic acceleration waves in elastic materials with voidsWell-posedness and exponential decay for a porous thermoelastic system with second sound and a time-varying delay term in the internal feedbackEnergy decay for Porous-thermo-elasticity systems of memory typeOn the time decay of solutions in micropolar viscoelasticityStabilization of a microtemperature porous-elastic system with distributed delay-timeMathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voidsWell-posedness and a general decay for a nonlinear damped porous thermoelastic system with second soundStability in thermoelastic diffusion theory with voidsOn the porous thermoelastic system with Coleman–Gurtin lawAn a priori error analysis of a type <scp>III</scp> thermoelastic problem with two porositiesA contact problem of a thermoelastic rod with voids and microtemperaturesNonlocal theory of thermoelastic materials with voids and fractional derivative heat transferExponential and polynomial decay rates of a porous elastic system with thermal dampingQuasi-stability and smooth global attractors for a elasticity-viscoporosity system with nonlinear damping and source of critical exponentsExponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipationOn porous‐elastic system with a time‐varying delay term in the internal feedbacksOn the influence of a dissipative boundary on the energy decay for a porous elastic solidA general decay for a weakly nonlinearly damped porous systemStabilization for an inhomogeneous porous‐elastic system with temperature and microtemperatureOn the decay of a porous thermoelasticity type III with constant delayTheoretical decay results of a swelling soils system with frictional damping versus viscoelastic dampingExponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numericsExponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoidsOn the long-time behavior of a nonlinear damped porous thermoelastic system with second soundNumerical analysis of a type III thermo-porous-elastic problem with microtemperaturesAnalyticity in porous-thermoelasticity with microtemperaturesOn the rate of decay in interacting continua with memoryGeneral decay for a porous thermoelastic system with memory: the case of equal speedsDecay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speedsUnnamed ItemGeneral stability result in a memory-type porous thermoelasticity system of type IIIOn decay and analyticity in viscoelastic solids with voids by means of dissipative couplingOn porous-elastic systems with Fourier lawDecay of solutions in nonsimple thermoelastic barsInhomogeneous plane waves in elastic materials with voidsA porous thermoelastic problem: an a priori error analysis and computational experimentsExponential decay for linear damped porous thermoelastic systems with second soundLord-Shulman thermoelasticity with microtemperaturesEnergy decay for a porous thermoelastic system with thermoelasticity of second sound and with a non-necessary positive definite energyExponential stability for a thermoelastic porous system with microtemperatures effectsExponential stabilization of thermoelastic system of type II with non-uniform bounded disturbanceUniform decay of energy for a porous thermoelasticity system with past historyExponential decay in one-dimensional type III thermoelasticity with voidsFractional order thermoelastic interactions in an infinite porous material due to distributed time-dependent heat sourcesPorous-elastic plates: Fourier versus type IIIExponential stability of a porous thermoelastic system with Gurtin-Pipkin thermal lawDecay property of regularity-loss type of solutions in elastic solids with voidsOn the nature of dissipative Timoshenko systems at light of the second spectrum of frequencyExponential stability in the theory of thermoelastic diffusion mixturesOn the time polynomial decay in elastic solids with voidsPolynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theoryOn the spatial behavior of solutions for porous elastic solids with quasi-static microvoidsOn the decay rates of porous elastic systemsOn the decay of solutions for porous-elastic systems with historyGeneral decay of solutions of a linear one-dimensional porous-thermoelasticity system with a boundary control of memory typeThermo-poroacoustic acceleration waves in elastic materials with voids without energy dissipationDecay property of regularity-loss type for solutions in elastic solids with voidsExponential decay in a thermoelastic mixture of solidsGeneral decay rates for one-dimensional porous-elastic system with memory: the case of non-equal wave speedsOn the uniqueness and analyticity of solutions in micropolar thermoviscoelasticityDecay of quasi-static porous-thermo-elastic wavesAnalysis for the strain gradient theory of porous thermoelasticityGlobal and exponential attractors for a nonlinear porous elastic system with delay termImpossibility of localization in thermo-porous-elasticity with microtemperaturesGeneral decay of solutions in one-dimensional porous-elastic system with memoryOn the possibility of locating in time of solutions for thermoelastic porous dipolar bodiesExponential decay in one-dimensional type II thermoviscoelasticity with voidsStabilization in elastic solids with voidsStabilization of elasticity-viscoporosity system by linear boundary feedbackOn the stabilization of a memory-type porous thermoelastic systemOn the decay rates for a one-dimensional porous elasticity system with past historyBoundary stabilization of memory type for the porous-thermo-elasticity systemThe backward in time problem of double porosity material with microtemperaturePorous-elasticity equations with indefinite damping






This page was built for publication: Exponential decay in one-dimensional porous-thermo-elasticity