In this paper we consider the following three-phase-lag thermoelastic plate: ρu¨=−Δ(μΔu−mθ),c(θ˙+τqθ¨)=mΔ(u˙+τqu¨)+Δ(k∗α+τν∗θ+kτθθ˙).We obtain analyticity and exponential stability for associated C0-semigroup when coefficients satisfy τν≥k∗τq. The of semigroup still holds τν<k∗τq. However, instability solution was proved by Routh–Hurwitz rule.

The primary goal of this paper is to create a new fractional boundary element method (BEM) model for bio-thermomechanical problems in functionally graded anisotropic (FGA) nonlinear viscoelastic soft tissues. governing equations are briefly presented, including the dual-phase-lag (DPL) bioheat and Biot’s model. more complex shapes tissues can be handled by method, which also avoids need interio...

Many microbes when grown on a mixture of two carbon sources utilise first and exclusively the preferred sugar, before switching to the less preferred carbon source. This results in two distinct exponential growth phases, often interrupted by a lag-phase of reduced growth termed the lag-phase. While the lag-phase appears to be an evolved feature, it is not clear what drives its evolution, as it ...

In the last twenty years, analysis of problems involving dual-phase-lag models has received an increasing attention. this work, we consider coupling between one these and microtemperatures effects. order to overcome infinite speed paradox, two relaxation parameters are introduced for each evolution equation related temperature microtemperatures, leading a system linear hyperbolic partial differ...

A semi-analytical investigation has been carried out to analyze unsteady MHD second-grade flow under the Dual-Phase-Lag (DPL) heat and mass transfer model in a vertical microchannel filled with porous material. Diffusion thermo (Dufour) effects and homogenous chemical reaction are considered as well. The governing partial differential equations are solved by using the Laplace transform method w...

Foodborne pathogens continue to pose a potential food safety hazard in ready-to-eat (RTE) meat. Chlorine is commonly used to sanitize processing equipment where Escherichia coli O157:H7 (Ec) may survive and contaminate food products. The objective of this study was to characterize the survival behavior of Ec with different stresses on RTE meats. A multi-strain cocktail of Ec was pre-treated wit...

When applying feedback control in active noise control, phase lag caused by transducer dynamics and time delay between microphones and noise sources limits the bandwidth of the controller considerably. The proposed method to increase stability is to compensate the phase lag by applying a Smith compensator. The compensator needs a model of the acoustic plant. As model, only the transducer dynami...