Research in macroscopic classical physics, such as fluid dynamics or aspects of condensed matter physics, continues to confront baffling challenges that are by no means less demanding than those at the post-Newtonian frontiers of physics that have been explored since the beginning of this century. This is so even though the basic equations of macroscopic …
Continue reading “On Challenges in Turbulent Flow Theory and Experiment”
Hugoniot with classmates from the École Polytechnique, 1870 . Hugoniot is second from left, front row, see insert.
At Easter 1902 I had sat my final college examination, and was now studying mathematics. This was not simple for me: Although one can see what follows from certain algebraic manipulations, why would this be done? “By mathematics, you are convicted, instead of convinced”, according to the philosopher Schopenhauer. After some time, I realized that, …
Over the course of a few years I have collected pictures, biographies, and other tidbits about the many famous people who have created, studied, and dedicated their lives to the Navier-Stokes equations. I set it to the music of Carmina Burana of the MIT Choir (Creative Commons). Enjoy!
Regarding computing as a straightforward routine, some theoreticians still tend to underestimate its intellectual value and challenge, while practitioners often ignore its accuracy and overrate its validity. C. K. Chu, Columbia University, 1978
The mathematical formulation of the problem of homogeneous turbulence is this: Given an infinite body of uniform fluid in which motions conform to the equations and, and given that at some initial instant the velocity of the fluid is a random function of position described by certain probability laws which are independent of position, to …
$$\frac{(x+7+10)(1000-8)}{992}-17$$
http://www.acoular.org/ My students and myself have had some good luck with the open source and free software package Acoular. We used it to try and visualize the acoustic source distribution within a tornado. It worked fairly well, but of course the technique is dependent on the quality of data used. This is generated by CFD …
http://kolmogorov.com The great Academacian Andrei Nikolaevich Kolmogorov, who pioneered turbulence theory and started the Russian school, has fans overseas (big surprise!). I always wanted to create a website with a collection of his pictures, portraits, important articles, and anything else I could find online or off. Someone of course beat me to it! A recommended …
Continue reading “Andrei Nikolaevich Kolmogorov – A Digital Tribute”
Cornell has published a series of Mathematical Biographies of a number of famous mathematicians. When I do history portions of my classes I have often referred here. It is worth a scroll for your favorites. Check out Krylov for instance. http://dynkincollection.library.cornell.edu/ http://dynkincollection.library.cornell.edu/browsebios
