On the time polynomial decay in elastic solids with voids
From MaRDI portal
Publication:2473977
DOI10.1016/j.jmaa.2007.06.005zbMath1131.74019OpenAlexW2051193255MaRDI QIDQ2473977
Ramón Quintanilla, Jaime Edilberto Muñoz Rivera
Publication date: 5 March 2008
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.2007.06.005
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)
Related Items
Energy decay for a weakly nonlinear damped porous system with a nonlinear delay, Quasi-stability and attractors for a porous-elastic system with history memory, Blow-up of weak solutions for a porous elastic system with nonlinear damping and source terms, Method of potentials in elastostatics of solids with double porosity, Optimal decay for a porous elasticity system with memory, Well-posedness, lack of analyticity and exponential stability in nonlocal Mindlin's strain gradient porous elasticity, Theoretical and numerical stability results for a viscoelastic swelling porous-elastic system with past history, Exponential decay for a strain gradient porous thermoelasticity with second sound, On porous-elastic system with localized damping, On the porous-elastic system with Kelvin-Voigt damping, Exponential decay of solution to the viscoelastic porous-thermoelastic system of type III with boundary time-varying delay, Well-posedness and general decay for nonlinear damped porous thermoelastic system with second sound and distributed delay terms, Numerical Analysis of a Problem Involving a Viscoelastic Body with Double Porosity, New general decay of solutions in a porous-thermoelastic system with infinite memory, Porous elastic system with Kelvin–Voigt: analyticity and optimal decay rate, On the stabilization of linear porous elastic materials by microtemperature effect and porous damping, Exponential stabilization for porous elastic system with one boundary dissipation, Rates of decay for porous elastic system weakly dissipative, On the time decay of solutions in micropolar viscoelasticity, Well-posedness and a general decay for a nonlinear damped porous thermoelastic system with second sound, Stability in thermoelastic diffusion theory with voids, On the porous thermoelastic system with Coleman–Gurtin law, On the time decay of solutions for non-simple elasticity with voids, Decay for strain gradient porous elastic waves, Exponential and polynomial decay rates of a porous elastic system with thermal damping, Quasi-stability and smooth global attractors for a elasticity-viscoporosity system with nonlinear damping and source of critical exponents, Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation, A gradient theory of porous elastic solids, On porous‐elastic system with a time‐varying delay term in the internal feedbacks, On the influence of a dissipative boundary on the energy decay for a porous elastic solid, A general decay for a weakly nonlinearly damped porous system, Laminated beams with thermoelasticity acting on the shear force, Stabilization for an inhomogeneous porous‐elastic system with temperature and microtemperature, Theoretical decay results of a swelling soils system with frictional damping versus viscoelastic damping, Limiting dynamics in one-dimensional porous-elasticity, Global attractors for porous-elasticity system from second spectrum viewpoint, Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numerics, Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids, An a priori error analysis of a porous strain gradient model, Boundary exact controllability for a porous elastic Timoshenko system., On the long-time behavior of a nonlinear damped porous thermoelastic system with second sound, Analyticity in porous-thermoelasticity with microtemperatures, On the rate of decay in interacting continua with memory, General decay for a porous thermoelastic system with memory: the case of equal speeds, Decay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speeds, Decay structures for the equations of porous elasticity in one-dimensional whole space, On the thermoelasticity with two porosities: asymptotic behaviour, Plane harmonic waves in a thermoelastic solid with double porosity, General stability result in a memory-type porous thermoelasticity system of type III, Stabilization of non-homogeneous elastic materials with voids, On decay and analyticity in viscoelastic solids with voids by means of dissipative coupling, On porous-elastic systems with Fourier law, Decay of solutions in nonsimple thermoelastic bars, Exponential decay for linear damped porous thermoelastic systems with second sound, Energy decay for a porous thermoelastic system with thermoelasticity of second sound and with a non-necessary positive definite energy, Exponential decay in one-dimensional type III thermoelasticity with voids, Exponential stability of a porous thermoelastic system with Gurtin-Pipkin thermal law, Exponential stability in the theory of thermoelastic diffusion mixtures, Polynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theory, On the decay rates of porous elastic systems, Stability to 1-D thermoelastic Timoshenko beam acting on shear force, On the decay of solutions for porous-elastic systems with history, Decay property of regularity-loss type for solutions in elastic solids with voids, Exponential decay in a thermoelastic mixture of solids, General decay rates for one-dimensional porous-elastic system with memory: the case of non-equal wave speeds, On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity, Analysis for the strain gradient theory of porous thermoelasticity, Global and exponential attractors for a nonlinear porous elastic system with delay term, Impossibility of localization in thermo-porous-elasticity with microtemperatures, General decay of solutions in one-dimensional porous-elastic system with memory, On the possibility of locating in time of solutions for thermoelastic porous dipolar bodies, Exponential decay in one-dimensional type II thermoviscoelasticity with voids, Stabilization in elastic solids with voids, Optimal decay rates and the selfadjoint property in overdamped systems, Energy decay for a porous-elastic system with nonlinear localized damping, On the stabilization of a memory-type porous thermoelastic system, On the decay rates for a one-dimensional porous elasticity system with past history, The backward in time problem of double porosity material with microtemperature, Spatial behavior for a fourth-order dispersive equation, Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains, Stability of Timoshenko system coupled with thermal law of Gurtin-Pipkin affecting on shear force, General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term
Cites Work
- Exponential stability in thermoelasticity with microtemperatures
- Thermoelastic models of continua
- On the time decay of solutions in porous-elasticity with quasi-static microvoids
- Exponential decay in one-dimensional porous-thermo-elasticity
- Linear elastic materials with voids
- The viscoelastic behavior of linear elastic materials with voids
- A theory of thermoelastic materials with voids
- A nonlinear theory of elastic materials with voids
- Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
- Slow decay for one-dimensional porous dissipation elasticity
- On the time decay of solutions in one-dimensional theories of porous materials
- Characterization of polynomial decay rate for the solution of linear evolution equation
- Stability in thermoelasticity of type III
- Polynomial stability of operator semigroups
- Unnamed Item
- Unnamed Item
