The present paper is concerned with  the investigation of disturbances in a homogeneous  transversely isotropic thermoelastic rotating  medium with two temperatures, in the presence of the combined effects of   Hall currents and magnetic field due to thermomechanical sources. The formulation is applied to the thermoelasticity theories developed by Green-Naghdi Theories of Type-II and Type-III. ...

We consider unsteady undular bores for a pair of coupled equations of Boussinesq-type which contain the familiar fully nonlinear dissipationless shallow-water dynamics and the leading-order fully nonlinear dispersive terms. This system contains one horizontal space dimension and time and can be systematically derived from the full Euler equations for irrotational flows with a free surface using...

Abstract In this note, we study the optimal control of a nonisothermal phase field system Cahn–Hilliard type that constitutes an extension classical Caginalp model for transitions with conserved order parameter. The couples equation source term parameter universal balance law internal energy. place standard Fourier form, constitutive heat flux is assumed in form given by theory developed Green ...