Let u be the velocity field in a magnetized fluid. The part of the essential spectrum of the induction operator B curl (u x B) corresponding to approximate eigenfunctions localized within the fluid… (More)

It is commonly assumed that the alpha effect of mean-field magnetohydrodynamics essentially stops acting wherever the mean-field size reaches a certain value. We show that if the mean velocity is… (More)

An estimation of the length of any magnetic field line in a two-dimensional periodic magnetohydrodynamic problem is provided. This is done by using some classical function theory results on the… (More)

Magnetic field lines in ideal turbulent plasmas tend to become quite complicated and their length to grow in time. Diffusivity allows for reconnection and possible shortening, but this fact has not… (More)

The effects of a background uniform rotating magnetic field acting in a conducting fluid with a parallel flow are studied analytically. The stationary version with a transversal magnetic field is… (More)

The conditions imposed in the paper [’Inertial manifolds and completeness of eigenmodes for unsteady magnetic dynamos’, Physica D 194 (2004) 297-319] on the fluid velocity to guarantee the existence… (More)

The equations of ideal magnetohydrodynamic equilibria posses a number of symmetries that may be used to generate a family of hitherto unknown equilibria if there exists a foliation of the original… (More)

The rate of decay of shear Alfvén waves along a magnetic field line of a diffusive plasma grows with the number of nodes of the initial perturbation. It is reasonable to think that the energy… (More)