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Exponential decay in one-dimensional porous-thermo-elasticity

✍ Scribed by Pablo S. Casas; Ramón Quintanilla


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
146 KB
Volume
32
Category
Article
ISSN
0093-6413

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✦ Synopsis


This paper concerns the one-dimensional problem of the porous-thermo-elasticity. Two kinds of dissipation process are considered: the viscosity type in the porous structure and the thermal dissipation. It is known that when only thermal damping is considered or when only porous damping is considered we have the slow decay of the solutions. Here we prove that when both kinds of dissipation terms are taken into account in the evolution equations the solutions are exponentially stable.


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