• Publications
  • Influence
(H,ρ)–Induced Political Dynamics: Facets of the Disloyal Attitudes Into the Public Opinion
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 opportunistic attitudes of
Political Dynamics Affected by Turncoats
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 turncoat–like
Nonlinear first order PDEs reducible to autonomous form polynomially homogeneous in the derivatives
Abstract 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 derivatives, to
A consistent approach to approximate Lie symmetries of differential equations
Lie theory of continuous transformations provides a unified and powerful approach for handling differential equations. Unfortunately, any small perturbation of an equation usually destroys some
Continua with non-local constitutive laws: Exploitation of entropy inequality
Abstract 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 involves some
Lie remarkable partial differential equations characterized by Lie algebras of point symmetries
Abstract Within the framework of inverse Lie problem, we give some non-trivial examples of coupled Lie remarkable equations, i.e., classes of differential equations that are in correspondence with
Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures
Abstract 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 diffusion
Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones
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 homogeneous quasilinear
Approximately invariant solutions of creeping flow equations
  • M. Gorgone
  • Physics, Mathematics
    International Journal of Non-Linear Mechanics
  • 1 October 2018
Abstract 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 dimensionless
Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation
Within the theoretical framework of a recently introduced approach to approximate Lie symmetries of differential equations containing small terms, which is consistent with the principles of
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