The Maximal Invariance Group of Fluid Mechanics
Dr. V.V. Sreedhar
IIT, Kanpur.
01-11-06

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Abstract

This talk will be divided into four parts. In the first part, the physical motivation for studying the invariance group of fluid mechanics will be presented. In the second part, the maximal invariance group of Euler's equations will be shown to be bigger than the Galilei group. In the third part, the implications of the larger invariance group for discontinuous flows will be discussed, and a new set of jump conditions of the Rankine-Hugoniot type obtained. The fourth part introduces some interesting open problems. An attempt will be made to make the physics understandable to mathematicians, and the mathematics comprehensible to physicists.