☯ Current Research Topics: 

• Hydrodynamics: Modal instability, Spatio-temporal analysis, Comparison of inviscid and viscous model.

• Mathematical Modelling: Non-linear analysis of multi phase system, Direct numerical simulations, Flow pattern tracking and more.

• Lie Groups Applications: Limiting solution of complex system, Similarity solutions of differential equations, Non-modal analysis etc.

☯  Objectives of the Research:

We are motivated to,

• model various physical and real world problems,

• examine the linear/nonlinear solution behaviors of complex systems,

• understand the mathematical and physical reasons for the unwanted instabilities,

• look for passive control options for the unstable solution.