Dr Shibi Vasudevan’s research interests are in the areas of applied analysis, differential equations and fluid mechanics. His current work is broadly focused on the following themes: stability of solutions to partial differential equation (PDE) models arising from incompressible fluids and atmospheric sciences and in finding ways of obtaining or characterising (unstable) eigenvalues of linearised differential operators.

Dr Shibi Vasudevan holds an MA and PhD in Mathematics from the University of Missouri-Columbia, USA, following which he was a Postdoctoral Fellow at the International Center for Theoretical Sciences (ICTS), Bangalore and the Chennai Mathematical Institute (CMI) in Chennai. His earlier degrees were in engineering (MS in Aerospace Engineering from the Iowa State University, and BE in Mechanical Engineering from NITK Surathkal).

He enjoys teaching Mathematics and interacting with students.

Outside of Mathematics, he is very interested in music, the game of cricket, reading and hiking.

Research

Applied Analysis

Differential Equations

Fluid Dynamics

Spectral Theory

Stability

Publications

1. Y. Latushkin and S. Vasudevan, Stability criteria for the 2D α-Euler equations, J. Math. Anal. Appl., 472 (2) (2019), 1631-1659.

2. Y. Latushkin and S. Vasudevan, Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin’s operators, J. Math. Fluid. Mech., 20 (4) (2018), 1667-1680.

3. H. Dullin, Y. Latushkin, R. Marangell, S. Vasudevan and J. Worthington, Instability of the unidirectional flows for the 2D α-Euler equations, Comm. Pure. Appl. Analysis., 19 (4) (2020), 2051-2079.

4. S. Vasudevan, Instability of unidirectional flows for the 2D Navier-Stokes equations and related α-models, J. Math. Fluid. Mech., 23 (35) (2021), 31 pages.

Teaching Modules

Mathematical Reasoning

Analysis 2: Single Variable Calculus

Analysis 4: Spaces of Functions and Metric Spaces

(Ordinary) Differential Equations

Complex Analysis

Measure Theory and Integration