Ravi Shankar

Third year graduate student

Email: shankarr@uw.edu
Office: Padelford C-543

Research area:

Partial differential equations.

Current research interests

Inverse Problems. I am studying with Gunther Uhlmann (Calderón's inverse problem).

Regularity theory. I am studying with Yu Yuan (nonlinear geometric PDEs).

Ongoing research interests

Mathematical modeling. Thin films in a rotating cylinder, and tsunami waves.

Mathematical physics. Conservation laws of nonlinear PDEs, infinite symmetry groups of PDEs, and symmetry invariant solutions.

Nonlocal models. Maximum principles for nonlinear, nonlocal, degenerate, diffusion equations.

Publications

I am supported by the NSF GRFP for 2018-19.