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20052026
most citedGeneralized heat-transport equations: Parabolic and hyperbolic models

27 citations · 60 across the 11 of their papers we have counts for

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math-ph2026

Heat and thermal travelling wave solutions of a nonlinear Maxwell-Cattaneo-Vernotte equation

Munafò Carmelo Filippo, Rogolino Patrizia, Sciacca Michele

The propagation of heat and thermal signals in the form of travelling waves is investigated for a nonlinear Maxwell-Cattaneo-Vernotte equation. The exact wave solutions are derived…

math-ph2025

Two-dimensional equilibrium configurations in Korteweg fluids

M. Gorgone, F. Oliveri, A. Ricciardello +1

In this paper, after reviewing the form of the constitutive equations for a third grade Korteweg fluid, recently derived by means of an extended Liu procedure, an equilibrium probl…

math-ph2022

The Role of Second Law of Thermodynamics in Continuum Physics: A Muschik and Ehrentraut Theorem Revisited

V. A. Cimmelli, P. Rogolino

Second law of thermodynamics imposes that in any thermodynamic process the entropy production must be nonnegative. In continuum physics such a requirement is fulfilled by postulati…

math-ph2021★ 3 cited

A thermodynamical description of third grade fluid mixtures

Matteo Gorgone, Patrizia Rogolino

A complete thermodynamical analysis for a non-reacting binary mixture exhibiting the features of a third grade fluid is analyzed. The constitutive functions are allowed to depend o…

math-ph2021★ 9 cited

Continua with non-local constitutive laws: exploitation of entropy inequality

Matteo Gorgone, Francesco Oliveri, Patrizia Rogolino

In this paper, we consider a system of balance laws sufficiently general to contain the equations describing the thermomechanics of a one-dimensional continuum; this system involve…