Exponential stability of a porous thermoelastic system with Gurtin-Pipkin thermal law
DOI10.1007/s13398-021-01132-1zbMath1476.35040OpenAlexW3202642118WikidataQ115600874 ScholiaQ115600874MaRDI QIDQ2240622
Publication date: 4 November 2021
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-021-01132-1
exponential stabilityLumer-Phillips theoremone space dimensioncontraction semigroupLax-Milgram theorem
Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Thermal effects in solid mechanics (74F05) Groups and semigroups of linear operators (47D03) Linear constitutive equations for materials with memory (74D05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Invariance of decay rate with respect to boundary conditions in thermoelastic Timoshenko systems
- Energy decay in a Timoshenko-type system of thermoelasticity of type III with different wave-propagation speeds
- Exponential decay for linear damped porous thermoelastic systems with second sound
- General energy decay in a Timoshenko-type system of thermoelasticity of type III with a viscoelastic damping
- The stability number of the Timoshenko system with second sound
- Exponential decay in non-uniform porous-thermo-elasticity model of Lord-Shulman type
- Energy decay in a Timoshenko-type system of thermoelasticity of type III
- On the time decay of solutions in porous-thermo-elasticity of type II
- Exponential decay in one-dimensional porous-thermo-elasticity
- Energy decay in a Timoshenko-type system with history in thermoelasticity of type III
- On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
- Semigroups of linear operators and applications to partial differential equations
- Thermoelasticity without energy dissipation
- On the exponential stability of linear thermoelasticity
- Non-homogeneous thermoelastic Timoshenko systems
- 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
- Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
- Stability to 1-D thermoelastic Timoshenko beam acting on shear force
- On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
- On the time decay of solutions in one-dimensional theories of porous materials
- On the time polynomial decay in elastic solids with voids
- A generalized dynamical theory of thermoelasticity
- A general theory of heat conduction with finite wave speeds
- A re-examination of the basic postulates of thermomechanics
- Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability
- Energy decay for hyperbolic thermoelastic systems of memory type
- Energy decay to Timoshenko's system with thermoelasticity of type III
