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20112026
most citedShell Models of Magnetohydrodynamic Turbulence

141 citations

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physics.flu-dyn2020★ 6 cited

On uniqueness of transfer rates in magnetohydrodynamic turbulence

Franck Plunian, Rodion Stepanov, Mahendra Kumar Verma

In hydrodynamic and magnetohydrodynamic turbulence, expressions for the transfer rates rely on integrals over wavenumber triads satisfying . As…

physics.flu-dyn2019★ 8 cited

A spatial analog of the Ruelle-Takens-Newhouse scenario developing in reactive miscible fluids

Dmitry Bratsun

We present a theoretical study on pattern formation occurring in miscible fluids reacting by a second-order reaction in a vertical Hele-Shaw cell under constant gravi…

physics.flu-dyn2015★ 76 cited

Non-Kolmogorov cascade of helicity driven turbulence

Mouloud Kessar, Franck Plunian, Rodion Stepanov +1

We solve the Navier-Stokes equations with two simultaneous forcings. One forcing is applied at a given large-scale and it injects energy. The other forcing is applied at all scales…

physics.flu-dyn2015★ 71 cited

Hindered energy cascade in highly helical isotropic turbulence

Rodion Stepanov, Ephim Golbraikh, Peter Frick +1

The conventional approach to the turbulent energy cascade, based on Richardson-Kolmogorov phenomenology, ignores the topology of emerging vortices, which is related to the helicity…

physics.flu-dyn2012★ 141 cited

Shell Models of Magnetohydrodynamic Turbulence

Franck Plunian, Rodion Stepanov, Peter Frick

Shell models of hydrodynamic turbulence originated in the seventies. Their main aim was to describe the statistics of homogeneous and isotropic turbulence in spectral space, using…

physics.flu-dyn2011★ 2 cited

Long-Wave Instability of Advective Flows in Inclined Layer with Solid Heat Conductive Boundaries

R. V. Sagitov, A. N. Sharifulin

We investigate the stability of the steady convective flow in a plane tilted layer with ideal thermal conductivity of solid boundaries in the presence of uniform longitudinal tempe…