Lack of exponential decay for a laminated beam with structural damping and second sound

W Liu, X Kong, G Li - 2017 - preprints.org
In previous work (Z. Angew. Math. Phys. 68 (2), 2017), Apalara considered a one
dimensional thermoelastic laminated beam under Cattaneo's law of heat conduction and …

Global attractors for porous elastic system with memory and nonlinear frictional damping

YY Duan, TJ Xiao - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
This paper is concerned with the long‐time behavior of a porous‐elastic system with infinite
memory and nonlinear frictional damping. We prove that the dynamical system generated by …

Rates of decay for locally damped porous-elastic systems with history via operator semigroups

YY Duan, TJ Xiao - Semigroup Forum, 2024 - Springer
We consider a porous-elastic system with localized history damping, the memory kernel
decaying exponentially. We estimate the resolvent of the generator of the associated …