75 citations · 323 across the 24 of their papers we have counts for
10 papers · 1 filter
Existence, uniqueness and analyticity of space-periodic solutions to the regularised long-wave equation
R. Chertovskih, A. C. -L. Chian, O. Podvigina +2
We consider space-periodic evolutionary and travelling-wave solutions to the regularised long-wave equation (RLWE) with damping and forcing. We establish existence, uniqueness and…
Dissipative structures in a nonlinear dynamo
Andrew D. Gilbert, Yannick Ponty, Vladislav Zheligovsky
This paper considers magnetic field generation by a fluid flow in a system referred to as the Archontis dynamo: a steady nonlinear magnetohydrodynamic (MHD) state is driven by a pr…
The Monge-Ampere equation: various forms and numerical methods
V. Zheligovsky, O. Podvigina, U. Frisch
We present three novel forms of the Monge-Ampere equation, which is used, e.g., in image processing and in reconstruction of mass transportation in the primordial Universe. The cen…
Dependence of magnetic field generation by thermal convection on the rotation rate: a case study
R. Chertovskih, S. M. A. Gama, O. Podvigina +1
Dependence of magnetic field generation on the rotation rate is explored by direct numerical simulation of magnetohydrodynamic convective attractors in a plane layer of conducting…
Determination of a flow generating a neutral magnetic mode
V. Zheligovsky
The problem of reconstruction of a flow of conducting incompressible fluid generating a given magnetic mode is considered. We use the magnetic induction equation to derive ordinary…
Generation of a symmetric magnetic field by thermal convection in a plane rotating layer
V. Zheligovsky
We investigate numerically magnetic field generation by thermal convection with square periodicity cells in a rotating horizontal layer of electrically-conducting fluid with stress…