The magnetohydrodynamical equations for a multi-component magnetized ionic mixture are used to derive the spectrum of collective modes for small wave numbers. The results are compared with those from formal kinetic theory, which is based on the microscopic balance equations and a...

Lie groups involving potential symmetries are exposed in view of applications to physics. The system of magnetohydrodynamic equations for incompressible matter with Ohm's law for finite resistivity and Hall current is studied in Cartesian geometry. The equations for the evolution of the plasma...

The lattice Boltzmann (LB) method is a mesoscopic approach to solving nonlinear macroscopic conservation equations. Because the LB algorithm yields a simple collide-stream sequence it has been extensively applied to Navier–Stokes flows, but its MHD counterpart is less well known in the plasma...

Rayleigh–Taylor instability of a heavy fluid supported by a lighter one through porous medium, in the presence of a uniform, horizontal and oscillating magnetic field is studied. The fluids are taken as viscous (obeying Darcy's law), uniform, incompressible, and infinitely conducting. The...

We have analyzed an incompressible flow of electrically conducting biviscosity fluid through an axisymmetric non-uniform tube with a sinusoidal wave under the considerations of long wavelength and low Reynolds number. In our analysis we are taking into account the induced magnetic field. The...

We investigate several means of coupling between a sonoluminescing bubble and an applied magnetic field. Recent experiments show a strong quadratic dependence between the forcing pressures required for stable sonoluminescence and magnetic field amplitude. However, all coupling mechanisms...

Fundamental aspects of inverse-kinetic theories for the incompressible Navier–Stokes equations [M. Tessarotto, M. Ellero, RGD24, Italy, July 10–16, 2004, AIP Conf. Proc. 762 (2005) 108; M. Ellero, M. Tessarotto, Physica A 355 (2005) 233] include the possibility of defining uniquely the kinetic...

The connection between fluid dynamics and classical statistical mechanics has motivated in the past mathematical investigations of the incompressible Navier–Stokes (NS) equations (INSE) by means of an asymptotic kinetic theory. This feature has suggested the search for possible alternative...

A new improved way for the inclusion of the vibrational degrees of freedom into the calculation of the thermal conductivity of dilute gases of diatomic molecules is proposed and has been tested for nitrogen and carbon monoxide. The effective cross-sections needed have been obtained using...

The generalized hydrodynamic behavior of an Enskog moderately dense gas has been studied mainly through the correlation functions approach. However, the kinetic model based on the Grad's method to solve the Enskog equation seems to be a good alternative to such studies. In this work, we explore...