Steady state existence of passive vector fields under the Kraichnan model

Details Steady state existence of passive vector fields under the Kraichnan model Steady state existence of passive vector fields under the Kraichnan model

2009-06-22

arxiv.org/abs/0906.4067v3

Nonlinear Sciences

Chaotic Dynamics

Improved text & figures, added references & other corrections

Scientific paper

The steady state existence problem for Kraichnan advected passive vector models is considered for isotropic and anisotropic initial values in arbitrary dimension. The model includes the magnetohydrodynamic (MHD) equations, linear pressure model (LPM) and linearized Navier-Stokes (LNS) equations. In addition to reproducing the previously known results for the MHD and linear pressure model, we obtain the values of the Kraichnan model roughness parameter $\xi$ for which the LNS steady state exists.

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