= Research =

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


== Homogenization and inverse problems ==

 1. [[InvBiharmonic | Stability estimates for an inverse boundary value problem for the   biharmonic operator with bounded potentials]]
 1. [[ NumRadon | An efficient numerical algorithm for the inversion of an integral   transform arising in ultrasound imaging]]
 1. [[Seismic | Common Midpoint versus common offset acquisition geometry in seismic imaging]]
 1. [[Polar | Polarization tensors via homogenization theory]]
 1. [[BiharmonicBoundary | Recovering 2nd order Isotropic perturbation of a biharmonic operator from full boundary data]]
 1. [[Doppler | Microlocal analysis of a restricted Doppler transform in n-dimensional Euclidean space]]
 1. [[InvRadon | Inversion of a class of circular and elliptical Radon transforms]]
 1. [[Polyop | Determination of Lower Order Perturbations of the Polyharmonic Operator from Partial Boundary Data]]
 1. [[Radar | A class of singular Fourier integral operators in synthetic aperture radar imaging, II. Transmitter and receiver at different speeds]]
 1. [[RadonShell | Inversion of spherical Radon transform in a spherical shell]]
 1. [[InvRest | Inversion of restricted ray transforms of symmetric tensor fields in n-dimensional Euclidean space]]
 1. [[MicroRest | Microlocal analysis of a restricted ray transform of symmetric m-tensor fields in n-dimensional Euclidean space]]
 1. [[NumBroken | Numerical inversion of a class of broken ray transforms with partial radial data in a disc]]

== Control and stabilization of complex systems ==

 1. [[NS1d | Null controllability of Compressible Navier-Stokes system in one dimension]]
 1. [[BoussinesqControl | Flow control of Navier-Stokes-Boussinesq model]]
 1. [[NS2dControl | Stabilization of 2-D Navier-Stokes equations for square cylinder in channel]]
 1. [[Tree | Feedback stabilization Problems on tree-like structures]]
 1. [[VIscoelastic | Approximate Controllability Results for viscoelastic flows]]
 1. [[FokkerPlanck | A Fokker-Planck approach to control collective motion]]

== Numerical schemes for fluid flows ==

 1. [[wbideal | A second order well-balanced finite volume scheme for Euler equations with gravity: ideal gas model]]
 1. [[wbgen | A second order well-balanced finite volume scheme for Euler equations    with gravity: general equation of state]]
 1. [[wbdg | Well-balanced discontinuous Galerkin method for Euler equations     with     gravity]]
 1. [[fvmhd | Entropy stable finite volume scheme for ideal MHD]]
 1. [[dgmhd | Entropy stable discontinuous galerkin scheme for ideal compressible MHD equations]]
 1. [[fvm2d | Entropy stable schemes on two-dimensional unstructured grids]]
 1. [[fvmns | An entropy stable discretization for the two dimensional Navier-Stokes equations with stable boundary treatment]]
 1. [[weno | A sign preserving WENO reconstruction]]
 1. [[dgeuler | Discontinuous Galerkin scheme for Euler and MHD equations on adaptive meshes]]
 1. [[dgmhdpos | Positivity preserving Discontinuous Galerkin scheme for ideal MHD]]
 1. [[dgale | An arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows]]