Energy decay rate of the thermoelastic Bresse system

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Rates of decay to weak thermoelastic Bresse system (2010, background): “…< ∞ hold,whereρ(A) is the resolvent set ofA. at LaboratÃ ³rio N acional de C om putaÃ §Ã £o C ientÃ -fica on January 25, 2011 im am at.oxfordjournals.org D ow nloaded from Onthe other hand, our result on the polynomial stability is based on the result of theorem on stability of Liu and Rao (2009).”
Timoshenko systems with indefinite damping (2008, background): “Later Freitas [6] found that the latter condition on the moments is not sufficient to guarantee exponential stability when ‖a‖L∞ is large, but replacing a by εa, Freitas and (1)In [12] it was pointed out that this conditions for real materials never holds, but the analysis gives inside for various p”
On the Stability of Damped Timoshenko Systems: Cattaneo Versus Fourier Law (2009, background): “The functions ϕ, ψ, θ and q depend on (t, x) ∈ [0, ∞) × [0, L] and model the transverse displacement of a beam with reference configuration (0, L) ⊂ R, the rotation angle of a filament, the temperature difference and the heat flux, respectively, cp. [8].”
Bresse system with infinite memories (2015, background): “In [8], Liu and Rao considered a thermoelastic Bresse system that consists of three wave equations and two heat equations coupled in a certain pattern.”