The problem of generation and existence of large-scale vortices in the ionosphere is analyzed in this paper. Some exact solutions of the magneto-hydrodynamic (MHD) equations have been found and new invariants have been constructed allowing to descover mechanisms of generation of large-scale vortices and planetary waves in the electroconducting atmosphere under the action of non-conservative Cor...

The objective of this paper is to study unsteady magneto hydrodynamic (MHD) free flow viscoelastic fluid (Walter’s B) past an infinite vertical plate through porous medium. temperature assumed be oscillating with time. solution obtained shows different profiles effects slip conditions on primary and secondary velocity. Also, the various parameters temperature, concentration, velocity were prese...

Abstract. This paper studies the regularity problem for the 3D incompressible resistive viscous Hall-magneto-hydrodynamic (Hall-MHD) system. The Kolmogorov 41 phenomenological theory of turbulence [16] predicts that there exists a critical wavenumber above which the high frequency part is dominated by the dissipation term in the fluid equation. Inspired by this idea, we apply an approach of spl...

In this article, the two-dimensional magneto-hydrodynamic (MHD) equations are considered with only magnetic diffusion. Here the magnetic diffusion is given by D a Fourier multiplier whose symbol m is given by m(ξ) = |ξ| log(e + |ξ|) . We prove that there exists an unique global solution in H(R) with s > 2 for these equations when β > 1. This result improves the previous works which require that...

Angular momentum transport must have occurred in the Sun’s radiative zone to explain its current solid body rotation. We survey the stability of the early Sun’s radiative zone with respect to diffusive rotational instabilities, for a variety of plausible past configurations. We find that the (faster rotating) early Sun was prone to rotational instabilities even if only weak levels of radial dif...

We consider two elliptic coupled systems of relevance in the fluid dynamics. These are posed on whole space [Formula: see text], and they action external forces. The first system deals with simplified Ericksen–Leslie (SEL) system, which describes dynamics liquid crystal flows. second is time-independent magneto-hydrodynamic (MHD) equations. For SEL we obtain a new criterion to improve regularit...

We present a detailed temporal analysis of a set of hydrodynamic and magnetohydrodynamic (MHD) simulations of geometrically-thin (h/r ∼ 0.05) black hole accretion disks. The black hole potential is approximated by the Paczynski-Wiita pseudo-Newtonian potential. In particular, we use our simulations to critically assess two widely discussed models for high-frequency quasi-periodic oscillations, ...

Results are presented of 3D numerical magneto-hydrodynamic (MHD) simulation of electromagnetic DC pump for both laminar and turbulent metal flow under an externally imposed strongly non-uniform magnetic field. Numerous MHD flow cases were simulated using finite element method and the results of five typical examples are summarized here, including one example of laminar brake flow, one example o...