Compact decoupling for an abstract system of thermoelasticity of type III

DOI10.1016/j.jmaa.2010.04.004zbMath1194.35252OpenAlexW1481150417MaRDI QIDQ984806

Dongli Li

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.004

zbMATH Keywords

norm continuity\(C_{0}\)-semigroupsdecoupled system

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Abstract hyperbolic equations (35L90) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Cites Work

• Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
• On unbounded perturbations of semigroups: compactness and norm continuity.
• Decay rates for the three-dimensional linear system of thermoelasticity
• Controllability of the linear system of thermoelasticity
• Polynomial decay for a hyperbolic-parabolic coupled system
• Compact decoupling for thermoelasticity in irregular domains
• On the essential spectrum of a semigroup of thermoelasticity
• DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III
• Compactness of the difference between the thermoviscoelastic semigroup and its decoupled semigroup

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