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A class of hyperbolic reaction–diffusion models is derived within the context of Extended Thermodynamics. This kind of models avoids the unphysical features concerning the instantaneous diffusive effects typical of parabolic equations and it results to be suitable for describing invasive phenomena with a well-defined boundary. Under suitable assumptions the non-existence of smooth travelling waves is proved within a region in the state-space. As an illustrative example of such a theoretical analysis, a model describing the infiltration of rain water in semi-arid environment is derived and both continuous and discontinuous travelling waves are investigated. [ABSTRACT FROM AUTHOR]

Abstract: In this work we analyze and compare different approaches to the heat transfer problem in gas mixtures. Our aim is to show that for rarefied gases far from equilibrium the extended thermodynamics description is capable to reproduce some features observed by kinetic theory, that cannot be described by the Navier–Stokes–Fourier–Fick approximations. In this framework, we consider the case of a binary inert gas mixture confined between two infinite parallel plates kept at different temperatures. [ABSTRACT FROM AUTHOR]