43 citations · 137 across the 16 of their papers we have counts for
17 papers
Predicting Radial Velocities from Rossiter-McLaughlin Time Series Observations
Vardan Adibekyan, Olivier Demangeon, Diogo Teixeira +7
The Rossiter-McLaughlin (RM) effect produces apparent radial velocity (RV) shifts through line-profile distortions caused by a transiting planet blocking different regions of the r…
What makes a steady flow to favour kinematic magnetic field generation: A statistical analysis
Francisco Stefano de Almeida, Roman Chertovskih, Sílvio Gama +1
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 dynamo theory…
Transition to chaos and magnetic field generation in rotating Rayleigh-Bénard convection
Dalton N. Oliveira, Roman Chertovskih, Erico L. Rempel +1
Hydrodynamic and magnetohydrodynamic convective attractors in three-dimensional rotating Rayleigh-Bénard convection are studied numerically by varying the Taylor and Rayleigh numbe…
Optimal control of nonlocal continuity equations: numerical solution
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn
The paper addresses an optimal ensemble control problem for nonlocal continuity equations on the space of probability measures. We admit the general nonlinear cost functional, and…
Reconstruction of photospheric velocity fields from highly corrupted data
Erico L. Rempel, Roman Chertovskih, Kamilla R. Davletshina +3
The analysis of the photospheric velocity field is essential for understanding plasma turbulence in the solar surface, which may be responsible for driving processes such as magnet…
Feedback maximum principle for ensemble control of local continuity equations. An application to supervised machine learning
Maxim Staritsyn, Nikolay Pogodaev, Roman Chertovskih +1
We consider an optimal control problem for a system of local continuity equations on a space of probability measures. Such systems can be viewed as macroscopic models of ensembles…
Chaotic transients and hysteresis in an dynamo model
Dalton N. Oliveira, Erico L. Rempel, Roman Chertovskih +1
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…
Gaussian-type density bounds for solutions to multidimensional backward SDEs and application to gene expression
Roman Chertovskih, Evelina Shamarova
We obtain upper and lower Gaussian-type bounds on the density of each component of the solution to a multidimensional non-Markovian backward SDE. Our approach is base…
Time-Optimal Control Problem With State Constraints In A Time-Periodic Flow Field
Roman Chertovskih, Nathalie T. Khalil, Fernando Lobo Pereira
This article contributes to a framework for a computational indirect method based on the Pontryagin maximum principle to efficiently solve a class of state constrained time-optimal…
Computation of kinematic and magnetic -effect and eddy diffusivity tensors by Padé approximation
Sílvio M. A. Gama, Roman Chertovskih, Vladislav Zheligovsky
We present examples of Padé approximation of the -effect and eddy viscosity/diffusivity tensors in various flows. Expressions for the tensors derived in the framework of the sta…
Pointwise vanishing velocity helicity of a flow does not preclude magnetic field generation
Alexander Andrievsky, Roman Chertovskih, Vladislav Zheligovsky
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 sma…
Negative magnetic eddy diffusivity due to oscillogenic -effect
Alexander Andrievsky, Roman Chertovskih, Vladislav Zheligovsky
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 mult…
Magnetic field generation by pointwise zero-helicity three-dimensional steady flow of incompressible electrically conducting fluid
A. Rasskazov, R. Chertovskih, V. Zheligovsky
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.…
Large-scale weakly nonlinear perturbations of convective magnetic dynamos in a rotating layer
Roman Chertovskih, Vladislav Zheligovsky
We present a new mechanism for generation of large-scale magnetic field by thermal convection which does not involve the alpha-effect. We consider weakly nonlinear perturbations of…
Highly corrupted image inpainting through hypoelliptic diffusion
Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier +2
We present a new image inpainting algorithm, the Averaging and Hypoelliptic Evolution (AHE) algorithm, inspired by the one presented in [SIAM J. Imaging Sci., vol. 7, no. 2, pp. 66…
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…
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…