Exponentially-stable steady flow and asymptotic behavior for the magnetohydrodynamic equations

Steady-state magnetohydrodynamic plasma flow past conducting sphere

An analytic solution to the problem of strongly magnetized plasma flow past a smooth, conducting sphere is considered. The magnetic field is taken to be uniform at very large distances and the sphere is assumed to be unmagnetized. In addition, the flow speed is assumed to be subsonic and super-Alfvénic. It is shown that a steady state solution is possible only if the frozen-in condition can be ...

Asymptotic Behavior for Nonlocal Diffusion Equations

We study the asymptotic behavior for nonlocal diffusion models of the form ut = J ∗ u − u in the whole R or in a bounded smooth domain with Dirichlet or Neumann boundary conditions. In R we obtain that the long time behavior of the solutions is determined by the behavior of the Fourier transform of J near the origin, which is linked to the behavior of J at infinity. If Ĵ(ξ) = 1 − A|ξ| + o(|ξ|) ...

Global asymptotic behavior for delay dynamic equations

We give conditions under which the trivial solution of a first-order nonlinear variable-delay dynamic equation is asymptotically stable, for arbitrary time scales that are unbounded above. In an example, we apply our techniques to a logistic dynamic equation on isolated, unbounded time scales. c © 2006 Elsevier Ltd. All rights reserved. MSC: 39A10; 34B10

Steady Incompressible Magnetohydrodynamic Flow Near a Point of Reattachment

This Article is brought to you for free and open access by the Mathematics & Statistics at ODU Digital Commons. It has been accepted for inclusion in Mathematics & Statistics Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Dorrepaal, J. M. and Moosavizadeh, S., "Steady Incompressible Mag...

Stable Exponentially Harmonic Maps Between Finsler Manifolds