Exponential stabilization for porous elastic system with one boundary dissipation
ANNALI DELL'UNIVERSITA' DI FERRARA(2020)
Abstract
In this paper, we consider the one-dimensional porous elastic system with mixed dissipation term at the point x=0 acting only on the volumetric fraction of the system. We prove that the operator 𝒜 associated with the problem is an infinitesimal generator of a C_0 –semigroup of contractions and we prove the exponential stability if an important restriction is imposed on the constitutive coefficients.
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Key words
Porous-elasticity, Boundary feedback, Asymptotic behavior, 35B35, 35Q74, 74H40, 74K10, 93D15
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