Results 31 to 40 of about 146 (86)

A single exponential BKM type estimate for the 3D incompressible ideal MHD equations

Boundary Value Problems, 2014
In this paper, we give a Beale-Kato-Majda type criterion of strong solutions to the incompressible ideal MHD equations. Instead of double exponential estimates, we get a single exponential bound on ∥(u,h)∥Hs (s>52).
Jianli Liu, Fenglun Wei, Kejia Pan
semanticscholar   +2 more sources

Hodographic study of non‐Newtonian MHD aligned steady plane fluid flows

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 93-113, 1990., 1990
A study is made of non‐Newtonian HHD aligned steady plane fluid flows to find exact solutions for various flow configurations. The equations of motion have been transformed to the hodograph plane. A Legendre‐transform function is used to recast the equations in the hodograph plane in terms of this transform function.
P. V. Nguyen, O. P. Chandna
wiley   +1 more source

Magnetohydrodynamic channel flow and variational principles

International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 2, Page 391-394, 1987., 1987
This paper deals with magnetohydrodynamic channel flow problems. Attention is given to a variational principle where the boundary conditions are incorporated via a suitable functional which is stationary at the solution of the given problem; the trial functions used for the approximate solution need not satisfy any of the given boundary conditions.
Adnan A. El-Hajj
wiley   +1 more source

Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates [PDF]

Open Communications in Nonlinear Mathematical Physics
Invariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the authors,
E. I. Kaptsov, V. A. Dorodnitsyn
doaj   +1 more source

The Relaxation Limits of the Two-Fluid Compressible Euler-Maxwell Equations

Journal of Partial Differential Equations, 2018
In this paper we consider the relaxation limits of the two-fluid Euler-Maxwell systems with initial layer. We construct an asymptotic expansion with initial layer functions and prove the convergence between the exact solutions and the approximate ...
Wangkan Lin
semanticscholar   +1 more source

Global magnetofluidostatic fields (an unsolved PDE problem)

International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 1, Page 123-130, 1986., 1986
A satisfactory theory of the Global MagnetoFluidoStatic (GMFS) Fields, where symmetric and non‐symmetric configurations can be dealt with on the same footing, has not yet been developed. However the formulation of the Nowhere‐Force‐Free, Local‐Global MFS problem about a given smooth isobaric toroidal surface 𝒮0 (actually, a degenerate initial‐value ...
C. Lo Surdo
wiley   +1 more source

INFLUENCE OF AN INTERNAL HEAT SOURCE OR SINK ON THE MAGNETOCONVECTION OF A MICROPOLAR FLUID IN A VERTICAL CHANNEL

, 2016
This work examines the effects of an external uniform magnetic field and of an internal heat source or sink on the steady mixed convection in the fully developed flow of a micropolar fluid filling a vertical channel under the Oberbeck-Boussinesq ...
A. Borrelli, G. Giantesio, M. C. Patria
semanticscholar   +1 more source

Combined effect of free and forced convection on MHD flow in a rotating porous channel

International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 165-182, 1982., 1980
This paper gives a steady linear theory of the combined effect of the free and forced convection in rotating hydromagnetic viscous fluid flows in a porous channel under the action of a uniform magnetic field. The flow is governed by the Grashof number G, the Hartmann number H, the Ekman number E, and the suction Reynolds number S. The solutions for the
D. R. V. Prasada Rao, D. V. Krishna, Lokenath Debnath   +2 more
wiley   +1 more source

Energy equality for the magnetohydrodynamic equations with fractional dissipation

Demonstratio Mathematica
In this paper, the energy equality is established for weak solutions of the magnetohydrodynamic equations with fractional dissipation when certain Shinbrot-type conditions are satisfied.
Zeng Yong
doaj   +1 more source

Global Existence of Smooth Solutions to an Initial‐Boundary Value Problem of One‐Dimensional MHD–Vlasov Equations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, the existence and uniqueness of the global smooth solution to an initial‐boundary value problem of one‐dimensional magnetohydrodynamics (MHD)–Vlasov equations are proved for large initial data. This equation is a fluid‐particle system which consists of the compressible MHD equations for the fluid coupled with the Vlasov equation for the ...
Peng Jiang, Enqi Lin, Lu Zhu, Calogero Vetro   +3 more
wiley   +1 more source