Sur le mouvement isentropique en magnétohydrodynamique
The Cauchy problem for the magneto-hydrodynamic system
We study the uniqueness and regularity of Leray-Hopf's weak solutions for the MHD equations with dissipation and resistance in different frameworks. Using different kinds of space-time estimates in conjunction with the Littlewood-Paley-Bony decomposition, we present some general criteria of uniqueness and regularity of weak solutions to the MHD system, and prove the uniqueness and regularity criterion in the framework of mixed space-time Besov spaces by applying Tao's trichotomy method.
The effect of a magnetic field on the onset of Bénard convection in variable viscosity couple-stress fluids using classical Lorenz model
The Rayleigh-Bénard convection for a couple-stress fluid with a thermorheological effect in the presence of an applied magnetic field is studied using both linear and non-linear stability analysis. This problem discusses the three important mechanisms that control the onset of convection; namely, suspended particles, an applied magnetic field, and variable viscosity. It is found that the thermorheological parameter, the couple-stress parameter, and the Chandrasekhar number influence the onset of...
The existence of an exponential attractor in magneto-micropolar fluid flow via the ℓ-trajectories method
We consider the magneto-micropolar fluid flow in a bounded domain Ω ⊂ ℝ². The flow is modelled by a system of PDEs, a generalisation of the two-dimensional Navier-Stokes equations. Using the Galerkin method we prove the existence and uniqueness of weak solutions and then using the ℓ-trajectories method we prove the existence of the exponential attractor in the dynamical system associated with the model.
The initial value problem for the equations of magnetohydrodynamic type in non-cylindrical domains.
By using the spectral Galerkin method, we prove the existence of weak solutions for a system of equations of magnetohydrodynamic type in non-cylindrical domains.
The Lagrangian and Hamiltonian formulations for the waves in a compressible fluid with the Hall current.
In questo lavoro si ricavano: 1) l'equazione d'onda linearizzata, 2) la formulazione Lagrangiana, 3) la formulazione Hamiltoniana, nella teoria della propagazione ondosa in un fluido comprimibile descritto dalle equazioni della magnetofluidodinamica ideale in presenza di corrente Hall.
The Lagrangian and Hamiltonian formulations for the waves in an incompressible fluid with the Hall current
In questo lavoro si ricavano: 1) l’equazione d’onda linearizzata, 2) la formulazione Lagrangiana, 3) la formulazione Hamiltoniana, nella teoria della propagazione ondosa in un fluido incomprimibile descritto dalle equazioni della magnetofluidodinamica ideale in presenza di corrente Hall.
The unsteady hydromagnetic slip flow with Hall effect over an infinite flat plate
Theoretical analysis of a model of the thermal boundary layer with drag.
Thermal radiation and MHD effects on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation and chemical reaction.
Thermal radiation effects on hydromagnetic mixed convection flow along a magnetized vertical porous plate.
Transient MHD double-diffusive natural convection over a vertical surface embedded in a non-Darcy porous medium.
Un problème inverse en formage des métaux liquides
Unconditional nonlinear stability in a polarized dielectric liquid
We derive a very sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current (AC). It is particularly important to note that the size of the initial energy in which we establish global nonlinear stability is not restricted whatsoever, and the Rayleigh-Roberts number boundary coincides with that found by a formal linear instability analysis.
Une contribution a l'etude de la couche limite magnetohydrodynamique d'un ecoulement de revolution en regime non stationnaire
Unsteady flow and heat transfer of a dusty fluid through a rectangular channel.
Unsteady flow of a conducting dusty fluid between two parallel plates.
Unsteady hydromagnetic free convection flow on a vertical infinite flat plate with suction
Unsteady stagnation-point flow of a viscoelastic fluid in the presence of a magnetic field.
Using differential transform method and Padé approximant for solving MHD flow in a laminar liquid film from a horizontal stretching surface.