Universality in turbulence

Keywords

Universality (dynamical systems), Turbulence, Statistical physics, Renormalization group, Physics

References

• Dissipative Structures and ChaosHazime Mori, Yoshiki Kuramoto — 1998
• Chemical Oscillations, Waves, and TurbulenceYoshiki Kuramoto — 1984
• Thermodynamics of chaotic systems : an introductionChristian Beck, Friedrich Schögl — 1993
• Dynamical Systems Approach to TurbulenceTomas Bohr, Mogens H. Jensen, Giovanni Paladin — 1998
• Simple multifractal cascade model for fully developed turbulence.C. Meneveau, Katepalli R. Sreenivasan — 1987
• Nonlinear Saturation of the Trapped-Ion ModeR. E. Laquey, S. M. Mahajan, P. H. Rutherford — 1974
• Coupled map lattice model for convectionTatsuo Yanagita, Kunihiko Kaneko — 1993
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equationsG. Sivashinsky — 1977
• Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulationToshiyuki Gotoh, Daigen Fukayama, Tohru Nakano — 2002
• Weather Prediction by Numerical ProcessNorman A. Phillips, Lewis Fry Richardson — 1922
• XXIX. An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channelsOsborne Reynolds — 1883
• Bounds for the fundamental solution of degenerate parabolic equationsCristian E. Gutiérrez, Gail S. Nelson — 1988
• The renormalization group and critical phenomenaKenneth G. Wilson — 1983
• PDF of velocity fluctuation in turbulence by a statistics based on generalized entropyToshihico Arimitsu, Naoko Arimitsu — 2001
• Anomalous Diffusion Due to Accelerator Modes in the Standard MapRyuji Ishizaki, T. Horita, Taizo Kobayashi — 1991
• Critical properties of lattices of diffusively coupled quadratic maps.Willem van de Water, Tomas Bohr — 1993
• Extended self-similarity in the dissipation range of fully developed turbulenceRoberto Benzi, S. Ciliberto, C. Baudet — 1993
• Stability of a Viscous Liquid Contained between Two Rotating CylindersGeoffrey Ingram Taylor — 1923
• Statistical theory of turbulencGeoffrey Ingram Taylor — 1935
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds numberАндрей Николаевич Колмогоров — 1962

Cited by

• COMPUTING LYAPUNOV EXPONENTS IN COUPLED MAP LATTICE FOR CONTROLLING SPATIOTEMPORAL CHAOSZahra rahhmani Cherati, Mohammad Reza Jahed Motlagh — 2006
• Mesoscale turbulence in the hippocampusA. Sheremet, Yu Qin, Joseph P. Kennedy — 2017
• Theta-gamma coupling: a nonlinear dynamical modelA. Sheremet, Yuchen Zhou, Jack P. Kennedy — 2018
• Segre-Silberberg effect and generation of turbulence in shear flowI. Shekriladze, G. I. Zhorzholiani — 2001

Related papers

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