Tuesday July 16th, 2024 04:00 PM
to 05:00 PM
Lab4 L4E01 Seminar Room
Speaker: Dr. Shreyas Mandre
University Associate Professor of Fluid-Structure Interaction, Department of Engineering, University of Cambridge
Hosted by: Professor Mahesh Bandi, Nonlinear and Non-equilibrium Physics Unit
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.