Note on stability of an abstract coupled hyperbolic-parabolic system: singular case

DOI10.1016/J.AML.2023.108599arXiv2211.15821MaRDI QIDQ6160860

Farhat Shel, Zhuangyi Liu, Kaïs Ammari

Publication date: 26 June 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.15821

zbMATH Keywords

stabilityhyperbolic-parabolic system

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Stability in context of PDEs (35B35) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Abstract hyperbolic equations (35L90)

Cites Work

• Fine scales of decay of operator semigroups
• Dissipative operators in a Banach space
• Stability of an abstract system of coupled hyperbolic and parabolic equations
• Regularity analysis for an abstract system of coupled hyperbolic and parabolic equations
• Dynamic stabilization of systems via decoupling techniques
• The Essential Spectrum of Some Matrix Operators

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