Statistical Models and Turbulence
Proceedings of a Symposium held at the University of California, San Diego (La Jolla) July 15-21, 1971
Herausgegeben: Rosenblatt, M.; Atta, C. van
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Application of central limit theorems to turbulence problems.- Probability limit theorems and some questions in fluid mechanics 1).- Statistical problems connected with asymptotic solutions of the one-dimensional nonlinear diffusion equation.- Burger's equation: Generalizations and solutions.- A closure hypothesis for the hierarchy of equations for turbulent probability distribution functions.- Singular perturbation in some problems of Statistical Mechanics.- The bounding theory of turbulence and its physical significance in the case of turbulent couette flow.- Numerical simulation of turbulen...
Application of central limit theorems to turbulence problems.- Probability limit theorems and some questions in fluid mechanics 1).- Statistical problems connected with asymptotic solutions of the one-dimensional nonlinear diffusion equation.- Burger's equation: Generalizations and solutions.- A closure hypothesis for the hierarchy of equations for turbulent probability distribution functions.- Singular perturbation in some problems of Statistical Mechanics.- The bounding theory of turbulence and its physical significance in the case of turbulent couette flow.- Numerical simulation of turbulence.- Comparison of some approximations for isotropic turbulence.- Investigating the predictability of turbulent motion.- Use of C-M-W representations for nonlinear random process applications.- Homogeneous chaos expansions.- Non-analytic character of the shear-tensor distribution function in incompressible turbulence.- Dynamo instability and feedback in a stochastically driven system.- The statistical mechanics of the guiding centre plasma.- Strange attractors as a mathematical explanation of turbulence.- Random geometric problems suggested by turbulence.- Simple and compound line growth in random walks.- The mixing of scalar stripes by an isotropic ensemble of single velocity modes.- Possible refinement of the lognormal hypothesis concerning the distribution of energy dissipation in intermittent turbulence.- Some observed properties of atmospheric turbulence.- Some measurements of the fine structure of large reynolds number turbulence.- Statistical self-similarity and inertial subrange turbulence.- Observations of the variability of dissipation rates of turbulent velocity and temperature fields.- Probability distributions in turbulent fields.- Turbulence in a stratified ocean.- Spectra changing over narrow bands.- Some recent advances in time series analysis.
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