On the nature of chaotic regions in dissipative hydrodynamics and magnetohydrodynamics

VS Titov, Eric Ronald Priest, DP Lonie

Research output: Contribution to journalArticlepeer-review


A region with chaotic magnetic field lines where the magnetic field (B) and plasma velocity (v) are continuous and differentiable and satisfy the dissipative incompressible magnetohydrodynamic equations with magnetic diffusivity eta and kinematic viscosity nu is considered. It is proved then that if v x B and (del x v) x v are potential, the structurally stable solutions describing such chaotic regions are characterized by a decaying linear magnetic force-free field and Beltrami flow of the form B=B-0 exp(-alpha(2) eta t) b, v=v(0) exp(-alpha(2) nu t) b, where b=b(r) such that del x b = alpha b, del . b=0 and B-0, nu(0), and alpha are constants. Purely hydrodynamic flows are a particular case with B-0=0. A simple example of a chaotic force-free field is also constructed. (C) 1999 American Institute of Physics. [S1070-664X(99)03804-5].

Original languageEnglish
Pages (from-to)1374-1377
Number of pages4
JournalPhysics of Plasmas
Issue number4
Publication statusPublished - Apr 1999




Dive into the research topics of 'On the nature of chaotic regions in dissipative hydrodynamics and magnetohydrodynamics'. Together they form a unique fingerprint.

Cite this