title: Steady-state existence of passive vector fields under the Kraichnan model.
abstract: The steady-state existence problem for Kraichnan advected passive vector models is considered for isotropic and anisotropic initial values in arbitrary dimension. The models include the magnetohydrodynamic (MHD) equations, linear pressure model, and linearized Navier-Stokes (LNS) equations. In addition to reproducing the previously known results for the MHD model, we obtain the values of the Kraichnan model roughness parameter xi for which the LNS steady state exists.
authors.affiliation: Department of Mathematics and Statistics, Helsinki University, PO Box 68, 00014 Helsinki, Finland. heikki.arponen@helsinki.fi
authors.forename: Heikki
authors.initials: H
authors.lastname: Arponen