Results 31 to 40 of about 473 (80)

Affine Lie-Poisson Reduction, Yang-Mills magnetohydrodynamics, and superfluids [PDF]

, 2009
This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids.
Gay-Balmaz, François, Ratiu, Tudor S.
core   +2 more sources

On the unsteady flow of two visco‐elastic fluids between two inclined porous plates

International Journal of Stochastic Analysis, Volume 5, Issue 2, Page 131-138, 1992., 1992
This study is concerned with both hydrodynamic and hydromagnetic unsteady slow flows of two immiscible visco‐elastic fluids of Rivlin‐Ericksen type between two porous parallel nonconducting plates inclined at a certain angle to the horizontal. The exact solutions for the velocity fields, skin frictions, and the interface velocity distributions are ...
P. R. Sengupta, T. K. Ray, L. Debnath
wiley   +1 more source

An Energetic Variational Approach for ion transport

, 2014
The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to derive the coupled Poisson-Nernst-Planck-Navier-Stokes system.
Liu, Chun, Sheng, Ping, Xu, Shixin
core   +2 more sources

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, K. Pan
semanticscholar   +2 more sources

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

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

H\"{o}lder continuity of solutions to the kinematic dynamo equations

, 2014
We study the propagation of regularity of solutions to a three dimensional system of linear parabolic PDE known as the kinematic dynamo equations. The divergence free drift velocity is assumed to be at the critical regularity level with respect to the ...
Friedlander, Susan, Suen, Anthony
core   +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

Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces

, 2017
In the paper, we consider the Cauchy problem of the non-resistive MHD equations in homogeneous Besov spaces. We prove the local existence and uniqueness of the solution to the non-resistive MHD equations by using the iterative scheme and compactness ...
Li, Jinlu, Tan, Wenke, Yin, Zhaoyang
core   +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