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Journal Articles Collectanea Mathematica Year : 2017

Convergence and stability analyses of hierarchic models of dissipative second order evolution equations

Abstract

We perform some hierarchical analyses of dissipative systems. For that purpose, we first propose a general abstract setting, prove a convergence result and discuss some stability properties. This abstract setting is then illustrated by significant examples of damped (acoustic) wave equations for which we characterize the family of reduced problems. For each concrete problems the decay of the energy is discussed and the density assumption is proved.
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Dates and versions

hal-03152027 , version 1 (25-02-2021)

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Serge Nicaise. Convergence and stability analyses of hierarchic models of dissipative second order evolution equations. Collectanea Mathematica, 2017, 68 (3), pp.433-462. ⟨10.1007/s13348-017-0192-8⟩. ⟨hal-03152027⟩
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