30 citations · 156 across the 15 of their papers we have counts for
10 papers · 1 filter
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…