Modelling fluid flow and heat transfer in a saturated porous medium.
Modified boundary integral method for pressure driven MHD duct flow.
Non blow-up of the 3D ideal magnetohydrodynamics equations for a class of three-dimensional initial data in cylindrical domains.
Non-linear Chandrasekhar-Bénard convectionin temperature-dependent variable viscosity Boussinesq-Stokes suspension fluid with variable heat source/sink
The generalized Lorenz model for non-linear stability of Rayleigh-Bénard magneto-convection is derived in the present paper. The Boussinesq-Stokes suspension fluid in the presence of variable viscosity (temperature-dependent viscosity) and internal heat source/sink is considered in this study. The influence of various parameters like suspended particles, applied vertical magnetic field, and the temperature-dependent heat source/sink has been analyzed. It is found that the basic state of the temperature...
Nonlinear peristaltic transport of MHD flow through a porous medium.
Numerical simulations in astrophysics: Supernovae explosions, magnetorotational model and neutrino emission.
Numerical solution of initial value problems in plasma physics
Numerical studies of vertically propagating acoustic and magneto-acoustic waves in an isothermal atmosphere.
On a similarity solution of MHD boundary layer flow over a moving vertical cylinder.
On a two-dimensional magnetohydrodynamic problem. I. Modelling and analysis
On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis
On an Extended System of Relativistic Kinematical Quantities Some Applications in Magnetohydrodynamics
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
We study properties of Lipschitz truncations of Sobolev functions with constant and variable exponent. As non-trivial applications we use the Lipschitz truncations to provide a simplified proof of an existence result for incompressible power-law like fluids presented in [Frehse et al., SIAM J. Math. Anal34 (2003) 1064–1083]. We also establish new existence results to a class of incompressible electro-rheological fluids.
On mhd flow of a viscous fluid past an infinite plate with time-dependent suction (I).
On MHD fluctuating flow in slip-flow regime with variable suction
On resistive dissipation of Alfvén waves in an isothermal atmosphere.
On series solutions for MHD plane and axisymmetric flow near a stagnation point.
On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation.
On steady MHD thermally radiating and reacting thermosolutal viscous flow through a channel with porous medium.
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation
We consider a system of balance laws describing the motion of an ionized compressible fluid interacting with magnetic fields and radiation effects. The local-in-time existence of a unique smooth solution for the Cauchy problem is proven. The proof follows from the method of successive approximations.