# Publications

## Links to Google Scholar, ResearchGate and Scopus

## Papers on Journals

**M. Gorgone, G. Inferrera, F. Oliveri.***Fermionic operatorial model of a system with competitive and cooperative agents.*Submitted.**M. Gorgone, G. Inferrera.***Direct approach to approximate conservation laws.*Submitted.**M. Gorgone, F. Oliveri.***Asymptotic behavior in a bosonic model of love affairs with (H,ρ)-induced dynamics.*Preprint, 2022.**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.