10 papers
Hierarchy of coupled Burgers-like equations induced by conditional symmetries
M. Gorgone, F. Oliveri, E. Sgroi
It is known that -conditional symmetries of the classical Burgers' equation express in terms of three functions satisfying a coupled system of Burgers-like equations. The search…
Spreading of information on a network: a quantum view
F. Bagarello, F. Gargano, M. Gorgone +1
This paper concerns the modeling of the spread of information through a complex, multi-layered network, where the information is transferred from an initial transmitter to a final…
Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation
M. Gorgone, F. Oliveri
Within the theoretical framework of a recently introduced approach to approximate Lie symmetries of differential equations containing small terms, which is consistent with the prin…
A thermodynamical suspension model for blood
M. Gorgone, C. F. Munafo', A. Palumbo +1
A complete thermodynamical analysis for a blood model, based on mixture theory, is performed. The model is developed considering the blood as a suspension of red blood cells (solid…
Direct approach to approximate conservation laws
M. Gorgone, G. Inferrera
In this paper, non-variational systems of differential equations containing small terms are considered, and a consistent approach for deriving approximate conservation laws through…
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…