Journal ArticleDOI
Simplified models for turbulent diffusion : theory, numerical modelling, and physical phenomena
Andrew J. Majda,Peter Kramer +1 more
TLDR
In this paper, simple mathematical models for the turbulent diffusion of a passive scalar field are developed with an emphasis on the symbiotic interaction between rigorous mathematical theory (including exact solutions), physical intuition, and numerical simulations.About:
This article is published in Physics Reports.The article was published on 1999-06-01. It has received 511 citations till now. The article focuses on the topics: Scalar field & Turbulent diffusion.read more
Citations
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Journal ArticleDOI
Closed-Loop Turbulence Control: Progress and Challenges
Steven L. Brunton,Bernd R. Noack +1 more
Journal ArticleDOI
Cascades and transitions in turbulent flows
TL;DR: In this article, the authors provide a critical summary of recent work on turbulent flows from a unified point of view and present a classification of all known transfer mechanisms, including direct and inverse energy cascades.
Book
Filtering Complex Turbulent Systems
Andrew J. Majda,John Harlim +1 more
TL;DR: In this paper, the authors present mathematical strategies for filtering turbulent signal with model error, including the Kalman filter for vector systems, reduced filters and a three-dimensional toy model.
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Journal ArticleDOI
An Introduction to Probability Theory and Its Applications
David A. Freedman,William Feller +1 more
Book
Ten lectures on wavelets
TL;DR: This paper presents a meta-analyses of the wavelet transforms of Coxeter’s inequality and its applications to multiresolutional analysis and orthonormal bases.
An Introduction To Probability Theory And Its Applications
TL;DR: A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.