@article{be28f97d9cbb4a43a473360a2672e3ff,
title = "On Existence, Uniqueness and Lr-Exponential Stability for Stationary Solutions to the MHD Equations in Three-Dimensional Domains",
abstract = " The existence of stationary solutions to the MHD equations in three-dimensional bounded domains will be proved. At the same time if the assumption of smallness is made on external forces, uniqueness of the stationary solutions can be guaranteed and it can be shown that any Lr (r > 3) global bounded non-stationary solution to the MHD equations approaches the stationary solution under both L2 and Lr norms exponentially as time goes to infinity.",
keywords = "Lr-exponential stability, Stationary solutions",
author = "Chunshan Zhao and Kaitai Li",
note = "The existence of stationary solutions to the MHD equations in three-dimensional bounded domains will be proved. At the same time if the assumption of smallness is made on external forces, uniqueness of the stationary solutions can be guaranteed and it can be shown that any L r (r > 3) global bounded non-stationary solution to the MHD equations approaches the stationary solution under both L 2 and L r norms exponentially as time goes to infinity.",
year = "2004",
month = jul,
doi = "10.1017/S1446181100013705",
language = "American English",
volume = "46",
journal = "The ANZIAM Journal",
issn = "1446-8735",
publisher = "Cambridge University Press",
}