Research Interests

Profile:
I am an applied mathematician working on various aspects of fluid mechanics, particularly related to interfacial and free-surface flows. I am interested in nonlinear partial differential equation problems arising in fluid mechanics, examining solutions using computational, asymptotic and dynamical systems methods.

Some of the particular research topics are in the following areas:

• Wave interactions in Marginal Ice Zone
• Nonlinear waves on ferrofluids
• Nonlinear interfacial waves with a free surface
• Nonlinear hydroelastic waves in two and three dimensions
• Deformation of elastic cells in fluid flows
• Hydroelastic waves and their interactions with vertical cylinders
• Linear and nonlinear waves in elastic pipes and channels
• Gravity-capillary flows over multiple obstacles and their stability
• Solitary-wave solutions of the three-dimensional gravity-capillary water-wave problem
• Modeling of the trajectory and breakup of spiralling liquid jets

Potential Ph.D projects are available in the area of internal waves, two-dimensional and three-dimensional nonlinear hydroelastic waves. They will involve analytical and numerical work.