An informal introduction is provided to a range of topics in fluid dynamics having a
topological character. These topics include flows with boundary singularities, Lagrangian …

Mathematics | Free Full-Text | Nonlinear Large-Scale Perturbations of Steady Thermal
Convective Dynamo Regimes in a Plane Layer of Electrically Conducting Fluid Rotating about …

We consider Bloch eigenmodes in three linear stability problems: the kinematic dynamo
problem, the hydrodynamic and MHD stability problem for steady space-periodic flows and …

The presence of chaotic transients in a nonlinear dynamo is investigated through numerical
simulations of the 3D magnetohydrodynamic equations. By using the kinetic helicity of the …

We present examples of Padé approximations of the α-effect and eddy viscosity/diffusivity
tensors in various flows. Expressions for the tensors derived in the framework of the …

To advance our understanding of the magnetohydrodynamic (MHD) processes in liquid
metals, in this paper we propose an approach combining the classical methods in the …

Kinematic generation of electrically conductive fluid by space-periodic flow is considered.
The generated magnetic modes have a form of a product of three-dimensional field having …

Pointwise zero velocity helicity density is shown not to prevent steady flows from acting as
kinematic dynamos. We present numerical evidences that such flows can generate both …

We study large-scale kinematic dynamo action of steady mirror-antisymmetric flows of
incompressible fluid, that involve small spatial scales only, by asymptotic methods of the …

Рассмотрена кинематическая генерация течением электропроводной жидкости,
периодическим в пространстве, магнитных мод вида произведения трехмерного поля …