Global existence of 2D slightly compressible viscous magneto-fluid motion.
Global existence of solutions for incompressible magnetohydrodynamic equations
Global-in-time existence of solutions for incompressible magnetohydrodynamic fluid equations in a bounded domain Ω ⊂ ℝ³ with the boundary slip conditions is proved. The proof is based on the potential method. The existence is proved in a class of functions such that the velocity and the magnetic field belong to and the pressure q satisfies for p ≥ 7/3.
Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid
Global existence of solutions for equations describing a motion of magnetohydrodynamic compresible fluid in a domain bounded by a free surface is proved. In the exterior domain we have an electromagnetic field which is generated by some currents located on a fixed boundary. We have proved that the domain occupied by the fluid remains close to the initial domain for all time.
Global free boundary problem for incompressible magnetohydrodynamics [Book]
Global magnetofluidostatic fields (an unsolved PDE problem).
Global strong solutions of a 2-D new magnetohydrodynamic system
The main objective of this paper is to study the global strong solution of the parabolic-hyperbolic incompressible magnetohydrodynamic model in the two dimensional space. Based on Agmon, Douglis, and Nirenberg’s estimates for the stationary Stokes equation and Solonnikov’s theorem on --estimates for the evolution Stokes equation, it is shown that this coupled magnetohydrodynamic equations possesses a global strong solution. In addition, the uniqueness of the global strong solution is obtained.
Global well-posedness for certain density-dependent modified-Leray- models.
Hodograph method in MHD orthogonal fluid flows.
Hodographic study of non-Newtonian MHD aligned steady plane fluid flows.
Hydromagnetic Instability In A Rotating Channel Flow
Hydromagnetic instability in a rotating channel flow.
Il modello di Klein e la Cosmologia.
Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity
Influence of temperature-dependent viscosity on the MHD Couette flow of dusty fluid with heat transfer.
Instability through porous medium of two viscous superposed conducting fluids.
Involutive formulation and simulation for electroneutral microfluids
We study a microfluidic flow model where the movement of several charged species is coupled with electric field and the motion of ambient fluid. The main numerical difficulty in this model is the net charge neutrality assumption which makes the system essentially overdetermined. Hence we propose to use the involutive and the associated augmented form of the system in numerical computations. Numerical experiments on electrophoresis and stacking show that the completed system significantly improves...
Involutive formulation and simulation for electroneutral microfluids
We study a microfluidic flow model where the movement of several charged species is coupled with electric field and the motion of ambient fluid. The main numerical difficulty in this model is the net charge neutrality assumption which makes the system essentially overdetermined. Hence we propose to use the involutive and the associated augmented form of the system in numerical computations. Numerical experiments on electrophoresis and stacking show that the completed system significantly improves...
Large time regular solutions to the MHD equations in cylindrical domains
We prove the large time existence of solutions to the magnetohydrodynamics equations with slip boundary conditions in a cylindrical domain. Assuming smallness of the L₂-norms of the derivatives of the initial velocity and of the magnetic field with respect to the variable along the axis of the cylinder, we are able to obtain an estimate for the velocity and the magnetic field in without restriction on their magnitude. Then the existence follows from the Leray-Schauder fixed point theorem.
Lie group analysis of magnetohydrodynamic flow and mass transfer of a visco-elastic fluid over a porous stretching sheet.
Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate.