30 citations · 182 across the 26 of their papers we have counts for
26 papers
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…
An operatorial view of competition and cooperation in a network of economic agents
G. Giunta, M. Gorgone, F. Oliveri
A network of agents interacting both with competitive and/or cooperative mechanisms is modeled by using fermionic ladder operators. The time evolution of the network is assumed to…
Fermionic operatorial model of a system with competitive and cooperative interactions
M. Gorgone, G. Inferrera, F. Oliveri
An operatorial model of a system made by agents interacting each other with mechanisms that can be thought of as cooperative or competitive is presented. We associate to each a…
Approximate Noether symmetries of perturbed Lagrangians and approximate conservation laws
M. Gorgone, F. Oliveri
In this paper, within the framework of the consistent approach recently introduced for approximate Lie symmetries of differential equations, we consider approximate Noether symmetr…
Operatorial formulation of crimo-taxis phenomena in a street
M. Gorgone, G. Inferrera, C. F. Munafo'
In this paper, the ladder operators and a quantum-like approach are used to construct an operatorial version of a model dubbed crimo-taxis. In a classical framework, the crimo-taxi…
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…
Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures
Vito Antonio Cimmelli, Matteo Gorgone, Francesco Oliveri +1
We provide a thermodynamic framework for binary mixtures of Korteweg fluids with two velocities and two temperatures. The constitutive functions are allowed to depend on the diffus…
Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids
Matteo Gorgone, Francesco Oliveri, Patrizia Rogolino
A complete thermodynamical analysis for a binary mixture of viscous Korteweg fluids with two velocities and two temperatures is developed. The constitutive functions are allowed to…
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…
On the characterization of constitutive equations for third grade viscous Korteweg fluids
Matteo Gorgone, Patrizia Rogolino
We consider a model of a third grade viscous Korteweg--type fluid in three space dimensions, and apply the extended Liu procedure in order to explicitly solve the constraints impos…
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…
Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria
Rosa Di Salvo, Matteo Gorgone, Francesco Oliveri
In some recent papers, the so called -induced dynamics of a system whose time evolution is deduced adopting an operatorial approach, has been introduced. Accor…
Lie remarkable partial differential equations characterized by Lie algebras of point symmetries
Matteo Gorgone, Francesco Oliveri
Within the framework of inverse Lie problem, we give some non-trivial examples of coupled Lie remarkable equations, \textit{i.e.}, classes of differential equations that are in cor…
A Consistent Approach to Approximate Lie Symmetries of Differential Equations
Rosa Di Salvo, Matteo Gorgone, Francesco Oliveri
Lie theory of continuous transformations provides a unified and powerful approach for handling differential equations. Unfortunately, any small perturbation of an equation usually…
Approximate Q-conditional symmetries of partial differential equations
Matteo Gorgone, Francesco Oliveri
Following a recently introduced approach to approximate Lie symmetries of differential equations which is consistent with the principles of perturbative analysis of differential eq…
Approximately invariant solutions of creeping flow equations
Matteo Gorgone
In this paper, the steady creeping flow equations of a second grade fluid in cartesian coordinates are considered; the equations involve a small parameter related to the dimensionl…
Political dynamics affected by turncoats
Rosa Di Salvo, Matteo Gorgone, Francesco Oliveri
An operatorial theoretical model based on raising and lowering fermionic operators for the description of the dynamics of a political system consisting of macro--groups affected by…
--induced political dynamics: facets of the disloyal attitudes into the public opinion
Rosa Di Salvo, Matteo Gorgone, Francesco Oliveri
A simple model, suitable to describe the dynamics of a political system consisting of three macro--groups affected by turncoat--like behaviors and the influence of the opportunisti…
On the decoupling problem of general quasilinear first order systems in two independent variables
Matteo Gorgone, Francesco Oliveri, Maria Paola Speciale
The paper deals with the decoupling problem of general quasilinear first order systems in two independent variables. We consider either the case of homogeneous and autonomous syste…
Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives
Matteo Gorgone, Francesco Oliveri
It is proved a theorem providing necessary and sufficient conditions enabling one to map a nonlinear system of first order partial differential equations, polynomial in the derivat…
Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones
Matteo Gorgone, Francesco Oliveri
A theorem providing necessary conditions enabling one to map a nonlinear system of first order partial differential equations to an equivalent first order autonomous and homogeneou…