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pro vyhledávání: '"Mailybaev, A. A."'
Autor:
Mailybaev, Alexei A.
We study dynamical models on a self-similar space-time lattice as toy models for multiscale motion in hydrodynamic turbulence. Here an ill-posed ideal system is regularized at small scales and the vanishing regularization (inviscid) limit is consider
Externí odkaz:
http://arxiv.org/abs/2410.14903
Autor:
Mailybaev, Alexei A.
We consider an initial value problem for shell models that mimic turbulent velocity fluctuations over a geometric sequence of scales. Our goal is to study the convergence of solutions in the inviscid (more generally, vanishing regularization) limit a
Externí odkaz:
http://arxiv.org/abs/2408.04659
Many fundamental problems in fluid dynamics are related to the effects of solid boundaries. In general, they install sharp gradients and contribute to the developement of small-scale structures, which are computationally expensive to resolve with num
Externí odkaz:
http://arxiv.org/abs/2405.04112
Autor:
Thalabard, Simon, Mailybaev, Alexei A.
The statistical behavior of scalars passively advected by random flows exhibits intermittency in the form of anomalous multiscaling, in many ways similar to the patterns commonly observed in incompressible high-Reynolds fluids. This similarity sugges
Externí odkaz:
http://arxiv.org/abs/2402.04198
Autor:
de Wit, Xander M., Ortali, Giulio, Corbetta, Alessandro, Mailybaev, Alexei A., Biferale, Luca, Toschi, Federico
Publikováno v:
Phys. Rev. E 109, 055106 (2024)
We present a study of the intermittent properties of a shell model of turbulence with unprecedented statistics, about $\sim 10^7$ eddy turn over time, achieved thanks to an implementation on a large-scale parallel GPU factory. This allows us to quant
Externí odkaz:
http://arxiv.org/abs/2402.02994
How predictable are turbulent flows? Here we use theoretical estimates and shell model simulations to argue that Eulerian spontaneous stochasticity, a manifestation of the non-uniqueness of the solutions to the Euler equation that is conjectured to o
Externí odkaz:
http://arxiv.org/abs/2401.13881
Autor:
Pikeroen, Quentin, Barral, Amaury, Costa, Guillaume, Campolina, Ciro, Mailybaev, Alexei, Dubrulle, Berengere
In 1981, Frisch and Morf [1] postulated the existence of complex singularities in solutions of Navier-Stokes equations. Present progress on this conjecture is hindered by the computational burden involved in simulations of the Euler equations or the
Externí odkaz:
http://arxiv.org/abs/2312.01702
Developed turbulent motion of fluid still lacks an analytical description despite more than a century of active research. Nowadays phenomenological ideas are widely used in practical applications, such as small-scale closures for numerical simulation
Externí odkaz:
http://arxiv.org/abs/2308.01503
Autor:
Mailybaev, Alexei A.
Publikováno v:
Phys. Rev. Fluids 8, 054605 (2023)
Intermittency is one of central obstacles for understanding small-scale dynamics in the fully developed hydrodynamic turbulence. The modern approach is largely based on the multifractal theory of Parisi and Frisch which is, however, phenomenological.
Externí odkaz:
http://arxiv.org/abs/2302.01064
In this work we present a systematic numerical study of the post-blowup dynamics of singular solutions of the 1D focusing critical NLS equation in the framework of a nonlinear damped perturbation. The first part of this study shows that initially the
Externí odkaz:
http://arxiv.org/abs/2301.11736