# Research

The research activities at TIFR-CAM under this chair can be classified under the following three headings

## Homogenization and inverse problems

Common Midpoint versus common offset acquisition geometry in seismic imaging

Recovering 2nd order Isotropic perturbation of a biharmonic operator from full boundary data

Microlocal analysis of a restricted Doppler transform in n-dimensional Euclidean space

Inversion of a class of circular and elliptical Radon transforms

Determination of Lower Order Perturbations of the Polyharmonic Operator from Partial Boundary Data

Inversion of restricted ray transforms of symmetric tensor fields in n-dimensional Euclidean space

Numerical inversion of a class of broken ray transforms with partial radial data in a disc

## Control and stabilization of complex systems

Null controllability of Compressible Navier-Stokes system in one dimension

Stabilization of 2-D Navier-Stokes equations for square cylinder in channel

## Numerical schemes for fluid flows

A second order well-balanced finite volume scheme for Euler equations with gravity: ideal gas model

Well-balanced discontinuous Galerkin method for Euler equations with gravity

Entropy stable discontinuous galerkin scheme for ideal compressible MHD equations

Entropy stable schemes on two-dimensional unstructured grids

Discontinuous Galerkin scheme for Euler and MHD equations on adaptive meshes

Positivity preserving Discontinuous Galerkin scheme for ideal MHD

An arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows