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physics.flu-dyn2025★ 1 cited
Eulerian-Lagrangian scaling of the Lyapunov exponent in homogeneous turbulence
Jin Ge, Joran Rolland, John Christos Vassilicos
We present a heuristic derivation of the maximal Lyapunov exponent of homogeneous turbulence which yields two new relations, a sweeping relation and the scaling of the uncertai…
physics.flu-dyn2025
The interscale behaviour of uncertainty in three-dimensional Navier-Stokes turbulence
Jin Ge, Joran Rolland, John Christos Vassilicos
We derive the scale-by-scale uncertainty energy budget equation and demonstrate theoretically and computationally the presence of a self-similar equilibrium cascade of decorrelatio…