PEOPLE
Faculty
ICTS-TIFR, Bengaluru
Area of Research:
Partial Differential Equations, Dynamical Systems and Their Applications
+91 80 4653 6350
H-306
vishal
vasan
icts
res
in
vasan
icts
res
in
Academic Profile
- ICTS TIFR 2015-Present
- S. Chowla Research Assistant Professor, Pennsylvania State University 2012-2015
- PhD, Applied Mathematics, University of Washington 2012
- MS, Mechanical Engineering, Arizona State University 2007
- BE, Mechanical Engineering, Anna University 2005
Notes
- Nonlinear systems of ordinary differential equations A very quick introduction to nonlinear ODEs (only two dimensional) covering the very basics of equilibrium points, jacobians and associated stability. These notes are written for undergraduate students with little-to-no-background in linear algebra and some knowledge of calculus. These were written when I was a graduate student, so excuse the informal nature.
- Introduction to perturbation methods [Updated: 14 May 2019] In May 2019, I gave four lectures introducing perturbation methods for nonlinear partial differential equations. These lectures cover a subset topics from the notes. Lecture 1 Lecture 2 Lecture 3 Lecture4 I gave a related lecture on the derivation of the quasi-geostrophic equations using the same ideas as part of a discussion meeting on Air-Sea interaction in the Bay of Bengal Quasi-geostrophic equations
Prospective interns/project-students/visiting-researchers
I take students through the SN Bhatt summer program or the long term visiting student program only. Interested students should apply to either https://www.icts.res.in/academic/summer-research-program or https://www.icts.res.in/academic/ltvsp and not email me directly.