751 citations · 3.2k across the 102 of their papers we have counts for
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Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity
E. Aurell, U. Frisch, A. Noullez +1
It is shown that the inverse Lagrangian map for the solution of the Burgers equation (in the inviscid limit) with Brownian initial velocity presents a bifractality (phase transitio…
Predictability in the large: an extension of the concept of Lyapunov exponent
E. Aurell, G. Boffetta, A. Crisanti +2
We investigate the predictability problem in dynamical systems with many degrees of freedom and a wide spectrum of temporal scales. In particular, we study the case of turbule…
Growth of non-infinitesimal perturbations in turbulence
E. Aurell, G. Boffetta, A. Crisanti +2
We discuss the effects of finite perturbations in fully developed turbulence by introducing a measure of the chaoticity degree associated to a given scale of the velocity field. Th…
Numerical Proof of Self-Similarity in Burgers' Turbulence
Erik Aurell, Sergey N. Gurbatov, Sergey I. Simdyankin
We study the statistical properties of solutions to Burgers' equation, , for large times, when the initial velocity and its potential are stationary Gaussian…