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 introduce six families of three-dimensional space-periodic steady solenoidal flows,
whose kinetic helicity density is zero at any point. Four families are analytically defined …

This article studies the 3D incompressible micropolar fluids with rapidly oscillating terms.
The authors prove that the trajectory statistical solutions of the oscillating fluids converge to …

Mathematical modelling of surface roughness is of significant interest for a variety of modern
applications, including, but not limited to, tribology and optics. The most popular approaches …

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 generation of a large-scale magnetic field in the kinematic regime in the absence of an
α-effect is investigated by following two different approaches: the test-field method and 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 …

This paper proposes a higher-order blended compact difference (BCD) scheme on
nonuniform grids for solving the three-dimensional (3D) convection–diffusion equation with …

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 …