Seminar title: An introduction to self-similarity of the first and second kind

Speaker:

Dr. Shreyas Mandre, University Associate Professor of Fluid-Structure Interaction, Department of Engineering, University of Cambridge

Abstract:

When physical processes repeat over either growing or shrinking scales (length and/or time), the dynamics shows self-similarity. The condition of self-similarity appears strict, but it is the building block of mathematical modelling. This lecture covers (i) concept of scale invariance as a pre-requisite for self-similarity, (ii) self-similarity in physical systems and mathematical models, (iii) the two kinds of self-similarity -- the first and second kinds, and (iv) a simple mathematical example to elucidate the second kind of self-similarity. The lecture presents examples from fluid dynamics. No previous knowledge of or experience with scale-invariance or self-similarity is assumed.

Zoom link https://oist.zoom.us/j/92761955128?pwd=FAlNwA6m6ha9muDA4ot2NoqE8Zc73W.1

Zoom Meeting ID: 927 6195 5128  Pass: 397056