The present article investigates the thermoelastic interaction in a three-dimensional homogeneous and isotropic sandwich structure using the dual-phase-lag (DPL) model of generalized thermoelasticity. The incorporated resulting non-dimensional coupled equations are applied to a specific problem in which a sandwich layer of unidentical homogeneous and isotropic substances is subjected to time-de...

Recently David Laibson and others have argued in favor of using hyperbolic discount functions. The purpose of this paper is to investigate whether conventional wisdom, based on the standard model with exponential discounting, also holds in the case where consumers have hyperbolic discount functions. In other words do hyperbolic preferences matter for practical policy evaluation? Within the fram...

Time discounting is the phenomenon that a desired result in the future is perceived as less valuable than the same result now. Economic theories can take this psychological fact into account in several ways. In the economic literature the most widely used type of additive time discounting is exponential discounting. In exponential discounting, the fall of valuation depends by a constant factor ...

In this study, we present a proof of the Menelaus theorem for quadrilaterals in hyperbolic geometry, and a proof for the transversal theorem for triangles.

Maxwell models for viscoelastic flows are famous their potential to unify elastic motions of solids with viscous liquids in the continuum mechanics perspective. But usual allow one define well mostly one-dimensional only. To unequivocal multi-dimensional (as solutions well-posed initial-value problems) we advocated [ESAIM:M2AN 55 (2021), p. 807-831] an upper-convected model compressible a symme...

Abstract. A special class of recurrent neural network, termed Zhang neural network (ZNN) depicted in the implicit dynamics, has recently been proposed for online solution of time-varying matrix square roots. Such a ZNN model can be constructed by using monotonically-increasing odd activation functions to obtain the theoretical time-varying matrix square roots in an error-free manner. Different ...

We consider the macroscopic model for traffic flow proposed by Aw and Rascle in 2000. The model is a 2×2 system of hyperbolic conservation laws, or, when the model includes a relaxation term, a 2 × 2 system of hyperbolic balance laws. The main difficulty is the presence of vacuum, which makes us unable to control the total variation of the conservative variables. We allow vacuum to appear and p...