11 papers
Perturbative anomalous exponents from Kolmogorov multipliers
Alexei A. Mailybaev, Simon Thalabard
We introduce a perturbative framework for anomalous scaling in turbulent transport based on multiplier statistics, rather than zero-mode calculations. We illustrate the approach us…
RG theory of spontaneous stochasticity for Sabra model of turbulence
Alexei A. Mailybaev
We consider fluctuating Sabra models of turbulence, which exhibit the phenomenon of spontaneous stochasticity: their solutions converge to a stochastic process in the ideal limit,…
Renormalization-group perspective on spontaneous stochasticity
Alexei A. Mailybaev, Luca Moriconi
We present a renormalization-group perspective on spontaneous stochasticity in hydrodynamic turbulence, viewed through the lens of multiscale dynamical systems. Building on previou…
On the importance of stochasticity in closures of turbulence
André Freitas, Luca Biferale, Mathieu Desbrun +3
Deterministic closures for coarse-grained turbulence models help reproduce mean statistics, but often fail to capture the finite-time growth of uncertainty. Using the framework of…
Spontaneous stochasticity in the fluctuating Navier-Stokes equations on a logarithmic lattice
Erika Ortiz, Ciro S. Campolina, Alexei A. Mailybaev
The predictability of turbulent flows remains a challenging problem for mathematicians, physicists, and meteorologists. In this context, we consider the 3D incompressible Navier-St…
RG approach to the inviscid limit for shell models of turbulence
Alexei A. Mailybaev
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 soluti…