In this article, we show that the magneto-hydrodynamic system (MHD) in R with variable density, variable viscosity and variable conductivity has a local weak solution in the Besov space Ḃ N p1 p1,1 (R )×Ḃ N p2 −1 p2,1 (R )×Ḃ N p2 −1 p2,1 (R ) for all 1 < p2 < +∞ and some 1 < p1 ≤ 2N 3 if the initial density approaches a positive constant. Moreover, this solution is unique if we impose the restr...

A block tridiagonal matrix is factored with minimal fill-in using a cyclic reduction algorithm that is easily parallelized. Storage of the factored blocks allows the application of the inverse to multiple right-hand sides which may not be known at factorization time. Scalability with the number of block rows is achieved with cyclic reduction, while scalability with the block size is achieved us...

We propose a model for the acceleration of charged particles in interplanetary space that appear during quiet time periods, that is, not associated with solar activity events like intense flares or coronal mass ejections. The interaction of charged particles with modeled turbulent electromagnetic fields, which mimic the fields observed in the interplanetary medium, is studied. The turbulence is...

a Young Researchers Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran b Department of Mechanical Engineering, University of British Columbia Vancouver, Canada Forced convection boundary layer magneto-hydrodynamic (MHD) flow of a nanofluid over a permeable stretching plate is studied in this paper. The effects of suction-injection and viscous dissi 1 pation are taken into accoun...

A theoretical and experimental investigation of a magneto hydrodynamic stirrer is presented. Such a stirrer can be used to enhance mixing in micro total analysis systems. The stirrer utilizes arrays of electrodes deposited on a conduit's walls. The conduit is filled with an electrolyte solution. By applying alternating potential differences across pairs of electrodes, currents are induced in va...

We present results on modeling magnetic flux tubes in an unstably stratified medium and the flows around them using 2D axisymmetric magneto-hydrodynamic (MHD) simulations. The study is motivated by the formation of magnetic field concentrations at the solar surface in sunspots and magnetic pores and the large-scale flow patterns associated with them. The simulations provide consistent, self-mai...

In this paper we present a mathematical analysis for the magneto hydrodynamic (MHD) axi-symmetric stagnation-point flow and heat transfer over a shrinking sheet which shrinks axi-symmetrically in its own plane. The governing partial differential equations along with the boundary conditions are first cast into a dimensionless form and then these equations are solved numerically by shooting techn...

We propose a model for the acceleration of charged particles in the interplanetary space that appear during quiet time periods, that is, not associated with solar activity events like intense flares or coronal mass ejections. The interaction of charged particles with modeled turbulent electromagnetic fields, which mimic the fields observed in the interplanetary medium, is studied. The turbulenc...

Abstract We construct a relativistic resistive magneto-hydrodynamic (RRMHD) numerical simulation code for high-energy heavy-ion collisions as first designed in the Milne coordinates. split system of differential equations into two parts, non-stiff and stiff part. For part, we evaluate flux using HLL approximated Riemann solver execute time integration by second-order Runge–Kutta algorithm. whic...