S. Giambo | University of Messina (original) (raw)
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Indian Institute of Engineering Science and Technology, Shibpur
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Papers by S. Giambo
International Journal of Engineering Science, 1986
Within the framework of Extended Irreversible Thermodynamics (EIT) a phenomenological theory is p... more Within the framework of Extended Irreversible Thermodynamics (EIT) a phenomenological theory is proposed for a polarizable and magnetizable plasma in an electromagnetic ®eld. In particular, for the polarization a transport equation is proposed generalizing the well-established Debye's law for dielectric relaxation. For the magnetization a transport equation is proposed generalizing the well-established Langevin's law for magnetic relaxation. The present equations correspond to those obtained by Dixon involving also coupling terms with the heat¯ux. Finally, in the special case in which cross-effects are not taken into account, the dispersion relation for plane weak electromagnetic disturbances is derived.
American Journal of Physics, 1984
ABSTRACT The law of evolution of the intensity of Alfven shocks in nonrelativistic magnetohydrody... more ABSTRACT The law of evolution of the intensity of Alfven shocks in nonrelativistic magnetohydrodynamics for a perfect fluid of infinite conductivity is determined. In the case of propagation in a constant state, it is shown that an Alfven shock is constant even when it propagates on a curved surface wave (characteristic).
In this paper, the generalized analytical solution for one dimensional adiabatic flow behind the ... more In this paper, the generalized analytical solution for one dimensional adiabatic flow behind the strong imploding shock waves propagating in a non-ideal gas is obtained by using Whitham's geometrical shock dynamics theory. Landau and Lifshitz's equation of state for non-ideal gas and Anand's generalized shock jump relations are taken into consideration to explore the effects due to an increase in (i) the propagation distance from the centre of convergence, (ii) the non-idealness parameter and, (iii) the adiabatic index, on the shock velocity, pressure, density, particle velocity, sound speed, adiabatic compressibility and the change in entropy across the shock front. The findings provided a clear picture of whether and how the non-idealness parameter and the adiabatic index affect the flow field behind the strong imploding shock front.
ABSTRACT Making use of the ray theory and the method of asymptotic expansion of multiple scales, ... more ABSTRACT Making use of the ray theory and the method of asymptotic expansion of multiple scales, we perform a study of diffraction of weakly nonlinear waves in the direction transverse to the rays, through media described by dissipative or dispersive hyperbolic systems. It is shown that the wave amplitude satisfies a generalized Zabolotskaya-Khokhlov equation in the dissipative case, or a generalized Kadomtsev-Petviashvili equation in the dispersive case. Moreover, plane, cylindrical and spherical waves are also investigated. The present approach is used to study wave diffraction in a heat-conducting fluid.
Reports on Mathematical Physics, 2011
ABSTRACT
International Journal of Engineering Science, 1986
ABSTRACT A deformable anisotropic heat conducting semiconductor in interaction with an electromag... more ABSTRACT A deformable anisotropic heat conducting semiconductor in interaction with an electromagnetic field is analyzed within the framework of extended irreversible thermodynamics. The latter enlarges the set of independent variables by including the heat and electrical current fluxes; their evolution in the course of time is governed by first order differential equations. The complete set of constitutive relations and evolution equations is established. In particular, it is shown that thermal and electrical signals propagate with a finite velocity.
Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 1988
Résumé/Abstract Combining the ideas of hypersurface theory, ray theory and the method of asymptot... more Résumé/Abstract Combining the ideas of hypersurface theory, ray theory and the method of asymptotic expansion of multiple scales, an approach is proposed to study the diffraction of a weakly non-linear high-frequency waves in a space-like direction transverse to its in a relativistic viscous fluid
International Journal of Engineering Science, 1986
Within the framework of Extended Irreversible Thermodynamics (EIT) a phenomenological theory is p... more Within the framework of Extended Irreversible Thermodynamics (EIT) a phenomenological theory is proposed for a polarizable and magnetizable plasma in an electromagnetic ®eld. In particular, for the polarization a transport equation is proposed generalizing the well-established Debye's law for dielectric relaxation. For the magnetization a transport equation is proposed generalizing the well-established Langevin's law for magnetic relaxation. The present equations correspond to those obtained by Dixon involving also coupling terms with the heat¯ux. Finally, in the special case in which cross-effects are not taken into account, the dispersion relation for plane weak electromagnetic disturbances is derived.
American Journal of Physics, 1984
ABSTRACT The law of evolution of the intensity of Alfven shocks in nonrelativistic magnetohydrody... more ABSTRACT The law of evolution of the intensity of Alfven shocks in nonrelativistic magnetohydrodynamics for a perfect fluid of infinite conductivity is determined. In the case of propagation in a constant state, it is shown that an Alfven shock is constant even when it propagates on a curved surface wave (characteristic).
In this paper, the generalized analytical solution for one dimensional adiabatic flow behind the ... more In this paper, the generalized analytical solution for one dimensional adiabatic flow behind the strong imploding shock waves propagating in a non-ideal gas is obtained by using Whitham's geometrical shock dynamics theory. Landau and Lifshitz's equation of state for non-ideal gas and Anand's generalized shock jump relations are taken into consideration to explore the effects due to an increase in (i) the propagation distance from the centre of convergence, (ii) the non-idealness parameter and, (iii) the adiabatic index, on the shock velocity, pressure, density, particle velocity, sound speed, adiabatic compressibility and the change in entropy across the shock front. The findings provided a clear picture of whether and how the non-idealness parameter and the adiabatic index affect the flow field behind the strong imploding shock front.
ABSTRACT Making use of the ray theory and the method of asymptotic expansion of multiple scales, ... more ABSTRACT Making use of the ray theory and the method of asymptotic expansion of multiple scales, we perform a study of diffraction of weakly nonlinear waves in the direction transverse to the rays, through media described by dissipative or dispersive hyperbolic systems. It is shown that the wave amplitude satisfies a generalized Zabolotskaya-Khokhlov equation in the dissipative case, or a generalized Kadomtsev-Petviashvili equation in the dispersive case. Moreover, plane, cylindrical and spherical waves are also investigated. The present approach is used to study wave diffraction in a heat-conducting fluid.
Reports on Mathematical Physics, 2011
ABSTRACT
International Journal of Engineering Science, 1986
ABSTRACT A deformable anisotropic heat conducting semiconductor in interaction with an electromag... more ABSTRACT A deformable anisotropic heat conducting semiconductor in interaction with an electromagnetic field is analyzed within the framework of extended irreversible thermodynamics. The latter enlarges the set of independent variables by including the heat and electrical current fluxes; their evolution in the course of time is governed by first order differential equations. The complete set of constitutive relations and evolution equations is established. In particular, it is shown that thermal and electrical signals propagate with a finite velocity.
Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 1988
Résumé/Abstract Combining the ideas of hypersurface theory, ray theory and the method of asymptot... more Résumé/Abstract Combining the ideas of hypersurface theory, ray theory and the method of asymptotic expansion of multiple scales, an approach is proposed to study the diffraction of a weakly non-linear high-frequency waves in a space-like direction transverse to its in a relativistic viscous fluid