In this Letter, we revisit the Maxwell-Cattaneo law of finite-speed heat conduction. We point out that the usual form of this law, which involves a partial time derivative, leads to a paradoxical… (More)

In this article, the propagation of digital and analog signals through media which, in general, are both dissipative and dispersive is modeled using the one-dimensional telegraph equation. Input… (More)

Acoustic traveling waves in a class of viscous, power-law flu ids are investigated. Both bi-directional and unidirectio nal versions of the one-dimensional (1D), weakly-nonlinear eq uation of motion… (More)

A mathematical analysis of poroacoustic traveling wave phenomena is presented. Assuming that the fluid phase satisfies the perfect gas law and that the drag offered by the porous matrix is described… (More)

We introduce a model for nonlinear viscoelastic solids where traveling shear waves with compact support are possible. We obtain an exact compact solution. We also derive a new Burger’s type evolution… (More)

Using mixture theory, we present a reformulation of the Jordan–Darcy–Cattaneo (JDC) poroacoustic model. The one-dimensional (1D) version of the resulting system is then applied to the description of… (More)

In a recent work, Hayat et al. [4] considered several transient flows of a second-grade (SG) fluid (see [3, 6, 8] and the references therein). Included in their study was the case of a SG fluid… (More)

Bis in die neueste Zeit stand, die Lehre yon der Tuberkulose des Hodens und des Verh~ltnisses derselben zu der Tuberkulose des Urogenitalsystems unter dem Einfluss dreier als Tatsachen geltenden… (More)