This paper deals with the model proposed for nonsimple materials with heat conduction of type III. We analyze first the general system of equations, determine the behavior of its solutions with respect to the time and show that the semigroup associated with the system is not analytic. Two limiting cases of the model are studied later.

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. ...

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. ...

L.H. Fatori a,∗, J.E. Muñoz Rivera b and R. Nunes Monteiro a a Department of Mathematics, Universidade Estadual de Londrina, Campus Universitário, Londrina, CEP 86.051-990, Paraná, Brazil E-mails: [email protected], [email protected] b National Laboratory of Scientific Computations, LNCC/MCT, Rua Getúlio Vargas 333, Quitandinha, Petrópolis, CEP 25651-070, RJ, Brazil and Instituto...

Abstract In this work, we investigate a one-dimensional porous-elastic system with thermoelasticity of type III. We establish the well-posedness and stability for cases equal nonequal speeds wave propagation. At end, use some numerical approximations based on finite difference techniques to validate theoretical results.