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On exponential decay for linear porous thermo elasticity system

Głowiński P., Łada A.

Demonstratio Mathematica

2012

Vol. 45, nr 4

847-868

We study the problem of exponential decaying for solutions of porousthermoelasticity system, when time (…). For suficiently small values of the parameter of intensity of elasticity-porosity interactions the exponential decaying is established. In the considerations we apply the idea of compact decoupling for the system of equations. The exponential decaying property is proved first for the corresponding decoupled system, which is simpler to handle, then the property is derived for the original system.

The compact decoupling for system of thermoelasticity in viscoporous media and exponential decay

Głowiński P., Łada A.

Challenges of Modern Technology

2011

Vol. 2, no. 4

3--6

The problem of exponential decay for solutions of porous-thermoelasticity system, when time t ->∞ is studied. For sufficiently small values of parameter of intensity of elasticity-porosity interactions the exponential decaying is established. The idea of compact decoupling is applied for the system of equations. Exponential decay is proved first for the simpler decoupled system, then the prop erty is derived for the original system.

Asymtotic stability of solutions to the equations of linear elasticity and thermoelasticity in viscoporus media

Głowiński P., Łada A.

Demonstratio Mathematica

2009

Vol. 42, nr 4

757-779

The systems of evolution equations modelling elasticity and thermoelas-ticity of viscoporous bounded media are considered. The existence of co-semigroups of contractions defining solutions to the systems is proved. The asymptotic vanishing of energies of solutions when t -> (infinity) is explained.