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Stabilization of elasticity–viscoporosity system by linear boundary feedback
Author(s) -
Głowiński Przemysław,
Łada Andrzej
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1061
Subject(s) - observability , mathematics , semigroup , boundary (topology) , boundary value problem , mathematical analysis , elasticity (physics) , exponential function , linear system , physics , thermodynamics
The initial boundary value problem for linear elastodynamic system for viscoporous materials is considered. Exponential decay of solutions via the linear boundary feedback is established. Existence of solutions is obtained through the method of c 0 ‐semigroups. Exponential stabilization is derived via a proper collection of ideas of observability inequality, energy identity and c 0 ‐semigroup of contractions. Copyright © 2008 John Wiley & Sons, Ltd.