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• W2117345663 abstract "In this paper we study linear conservative systems of finite dimension coupled with an infinite dimensional system of diffusive type. Computing the time-derivative of an appropriate energy functional along the solutions helps us to prove the well-posedness of the system and a stability property. But in order to prove asymptotic stability we need to apply a sufficient spectral condition. We also illustrate the sharpness of this condition by exhibiting some systems for which we do not have the asymptotic property." @default.
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• W2117345663 date "2005-07-01" @default.
• W2117345663 modified "2023-10-09" @default.
• W2117345663 title "Asymptotic stability of linear conservative systems when coupled with diffusive systems" @default.
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• W2117345663 doi "https://doi.org/10.1051/cocv:2005016" @default.
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