PEOPLE Faculty
Vishal Vasan
ICTS-TIFR, Bengaluru
Area of Research:  Partial Differential Equations, Dynamical Systems and Their Applications
  +91 80 4653 6350    
H-306
  vishalvasan  ictsresin

Academic Profile

  • Reader, 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

 Curriculum vitae

 Google Scholar page

Research Interests

I'm broadly interested in the theoretical and numerical analysis of partial differential equations as well as their applications, particularly inverse problems. Recently, I've become interested in the intersection of dynamical systems and data science.

 

Notes

A very wise man once said to write down what you've done. And make it available. To that end, here is a (hopefully) growing list of notes that may or may not be useful to someone. 

  • 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. The notes do NOT contain any proofs as they were intended for engineering students taking a course on differential equations. 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.