Publications
Papers on Journals
C. Godano, M. Gorgone, C.F. Munafò, S. Carlino, P. Rogolino, F. Oliveri. Magma Ascent Mechanisms: Conduction, Buoyancy, and Heat Dissipation in the Lithosphere. Submitted, 2025.
M. Gorgone, G. Inferrera, C.F. Munafò. Operatorial formulation of crimo-taxis phenomena in a street. Journal of Physics A: Mathematical and Theoretical, 2025. DOI:
10.1088/1751-8121/ae04ba.
G. Giunta, M. Gorgone, F. Oliveri. An operatorial view of competition and cooperation in a network of economic agents. Quantum Economics and Finance, 1-12, 2025. DOI: 10.1177/29767032251361873
M. Gorgone, F. Oliveri, E. Sgroi. Hierarchy of coupled Burgers-like equations induced by conditional symmetries. Zeitschrift fur angewandte Mathematik und Physik, 76 , 8, 2025.
S. Jafari, N. Rajesh, G. Nordo, M. Gorgone. Implication-based neutrosophic finite state machine over a finite group. Neutrosophic Sets and Systems, 80 , 529-539, 2025.
M. Gorgone, C.F. Munafò, A. Palumbo, P. Rogolino. A thermodynamical suspension model for blood. Meccanica, 59 , 1671-1683, 2024.
M. Gorgone, G. Inferrera, F. Oliveri. Fermionic operatorial model of a system with competitive and
cooperative interactions. International Journal of Theoretical Physics, 62 , 241, 2023.
F. Bagarello, F. Gargano, M. Gorgone, F. Oliveri. Spreading of information on a network: a quantum view. Entropy, 25 , 1438, 2023.
M. Gorgone, G. Inferrera. Direct approach to approximate conservation laws. European Physical Journal Plus 138 , 447, 2023.
M. Gorgone, F. Oliveri, A. Ricciardello, P. Rogolino. Two-dimensional equilibrium configurations in Korteweg fluids. Theoretical and Applied Mechanics, 49 , 111-122, 2022.
M. Gorgone, P. Rogolino. A thermodynamical description of third grade fluid mixtures. Journal of Non-Equilibrium Thermodynamics, 47 , 133-142, 2022.
M. Gorgone, F. Oliveri.
Approximate Noether symmetries of perturbed Lagrangians and approximate conservation laws.
Mathematics, 9 , 2900, 2021.
M. Gorgone, F. Oliveri, P. Rogolino.
Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids.
Physics of Fluids, 33 , 093102, 2021.
M. Gorgone, F. Oliveri.
Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation.
Zeitschrift fur angewandte Mathematik und Physik, 72 , 119, 2021.
M. Gorgone, P. Rogolino.
On the characterization of constitutive equations for third-grade viscous Korteweg fluids.
Physics of Fluids, 33 , 043107, 2021.
M. Gorgone, F. Oliveri, P. Rogolino.
Continua with non-local constitutive laws: exploitation of entropy inequality.
International Journal of Non-Linear Mechanics, 126 , 103573, 2020.
V. A. Cimmelli, M. Gorgone, F. Oliveri, A. R. Pace. Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures.
European Journal of Mechanics - B/Fluids, 83 , 58-65, 2020.
R. Di Salvo, M. Gorgone, F. Oliveri. Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria.
Physica A: Statistical Mechanics and its Applications, 540 , 123032, 2020.
M. Gorgone, F. Oliveri. Lie remarkable partial differential equations characterized by Lie algebras of point symmetries.
Journal of Geometry and Physics, 144 , 314-323, 2019.
M. Gorgone, F. Oliveri. Approximate Q-conditional symmetries of partial differential equations.
Electronic Journal of Differential Equations, 25 , 133-147, 2018.
M. Gorgone. Approximately invariant solutions of creeping flow equations.
International Journal of Non-Linear Mechanics, 105 , 212-220, 2018.
R. Di Salvo, M. Gorgone, F. Oliveri. A consistent approach to approximate
Lie symmetries of differential equations. Nonlinear Dynamics, 91 , 371-386,
2018.
R. Di Salvo, M. Gorgone, F. Oliveri. (H,ρ)–induced political dynamics:
facets of the disloyal attitudes into the public opinion.
International Journal of Theoretical Physics, 56 , 3912-3922, 2017.
R. Di Salvo, M. Gorgone, F. Oliveri. Political dynamics affected by
turncoats. International Journal of Theoretical Physics, 56 , 3604-3614, 2017.
M. Gorgone, F. Oliveri, M. P. Speciale. On the decoupling problem of
general quasilinear first order systems in two independent variables.
Journal of Mathematical Analysis and Applications, 446 , 276-298, 2017.
M. Gorgone, F. Oliveri. Nonlinear first order PDEs reducible to
autonomous form polynomially homogeneous in the derivatives.
Journal of Geometry and Physics, 113 , 53-64, 2017.
M. Gorgone, F. Oliveri. Nonlinear first order partial differential equations
reducible to first order homogeneous and autonomous quasilinear ones.
Ricerche di Matematica, 66 , 51-63, 2017.
M. Gorgone, F. Oliveri, M. P. Speciale. Reduction of balance laws in
(3 + 1)-dimensions to autonomous conservation laws by means of equivalence
transformations. Acta Applicandae Mathematicae, 132 , 333-345, 2014.
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