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I started in soliton theory and WEAK TURBULENCE. For wave turbulence, we discovered the BOTTLENECK EFFECT, which I generalised for incompressible turbulence later. We then worked on a direct vorticity cascade in 2d turbulence and the related problem of a passive scalar in a spatially smooth flow. Work on a passive scalar in a non-smooth flow resulted in the discovery of zero modes (statistical integrals of motion) as a mechanism for an ANOMALOUS SCALING in turbulence. Those results and related work are described in this review and that report. Since then I have been interested in symmetries of the turbulent state, both broken and emerging ones. My colleagues and I have discovered empirically traces of CONFORMAL INVARIANCE in the family of inverse cascades and are presently attempting to build an analytic theory of that and related subjects (without much success so far).
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论文共 214 篇作者统计合作学者相似作者
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arXiv (Cornell University) (2023)
arXiv (Cornell University) (2023)
A. Aharon-Steinberg,T. Völkl, A. Kaplan,A. K. Pariari,I. Roy,T. Holder,Y. Wolf, A. Y. Meltzer, Y. Myasoedov,M. E. Huber, B. Yan,G. Falkovich,
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