Currently I am working as an Assistant Professor in the Department of Mathematics, Indian Institute of Technology Roorkee-IIT Roorkee, India.

• My research interests are focused on the finite and infinite dimensional, deterministic and stochastic nonlinear partial differential equations including fluid flow models, control theory and stochastic analysis. My plan is to make significant progress on very difficult problems concerning analysis on PDEs arising in fluid mechanics, which are forced by random noise.

Research Interests

• Stochastic Analysis - Large and moderate deviation theory, Invariant measures, Ergodicity, etc.

• Stochastic (Partial) Differential Equations - Local and global solvability, Support theorems,Stochastic stability, etc.

• Partial Differential Equations - Solvability, stability and asymptotic behavior of parabolic and hyperbolic systems.

• Control Theory - Deterministic and stochastic control theory in finite and infinite dimensions, Optimal control theory, etc.

• Mathematical Fluid Dynamics - Solvability of compressible and incompressible fluid flow equations, asymptotic analysis, stochastic analysis and controllability of fluid flows, etc (including viscoelastic fluid flow equations).

• Inverse Problems.

• Optimization problems with orthogonal matrix constraints.