47 citations · 248 across the 23 of their papers we have counts for
24 papers
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…
On differential equations invariant under a projective transformation group: integrability and reductions
Marianna Euler, Norbert Euler, Francesco Oliveri
We consider a projective transformation and establish the invariants for this transformation group up to order seven. We use the obtained invariants to construct a class of nonline…
Pulsatile Magnetized -/Casson Blood Flow Through an Elliptical Stenotic Artery for Drug Delivery Applications
Nimra Muqaddass, Alessandra Jannelli, Francesco Oliveri
Among cardiovascular diseases, atherosclerosis is a primary cause of stenosis, involving the accumulation of plaques in the inner lining of an artery. Inspired by drug delivery app…
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…
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…
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…
Reduction of balance laws in (3+1)--dimensions to autonomous conservation laws by means of equivalence transformations
Matteo Gorgone, Francesco Oliveri, Maria Paola Speciale
A class of partial differential equations (a conservation law and four balance laws), with four independent variables and involving sixteen arbitrary continuously differentiable fu…
ReLie: a Reduce program for Lie group analysis of differential equations
Francesco Oliveri
Lie symmetry analysis provides a general theoretical framework for investigating ordinary and partial differential equations. The theory is completely algorithmic even if it usuall…
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…
--induced dynamics and large time behaviors
F. Bagarello, R. Di Salvo, F. Gargano +1
In some recent papers, the so called -induced dynamics of a system whose time evolution is deduced adopting an operatorial approach, borrowed in part from quan…
A Phenomenological Operator Description of Dynamics of Crowds: Escape Strategies
Fabio Bagarello, Francesco Gargano, Francesco Oliveri
We adopt an operatorial method, based on creation, annihilation and number operators, to describe one or two populations mutually interacting and moving in a two--dimensional regio…
Ordinary differential equations described by their Lie symmetry algebra
Gianni Manno, Francesco Oliveri, Giuseppe Saccomandi +1
The theory of Lie remarkable equations, i.e. differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary differential equations. In part…
Dynamics of closed ecosystems described by operators
F. Bagarello, F. Oliveri
We adopt the so--called \emph{occupation number representation}, originally used in quantum mechanics and recently adopted in the description of several classical systems, in the a…
A phenomenological operator description of interactions between populations with applications to migration
Fabio Bagarello, Francesco Oliveri
We adopt an operatorial method based on the so-called creation, annihilation and number operators in the description of different systems in which two populations interact and move…
An Operator--like Description of Love Affairs
Fabio Bagarello, Francesco Oliveri
We adopt the so--called \emph{occupation number representation}, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis o…