My research interests, broadly speaking, are mathematical problems from fluid mechanics. As a Ph.D. student in the Department of Mathematics at UNC-Chapel Hill, I have been working with Dr. Roberto Camassa on stratified incompressible Euler fluids and nonlinear internal waves. Besides my dissertation topic concentrating on inviscid fluids, I have also worked on inertia subdominant regime of biophysical interests. I use theoretical analysis, algorithm developments and direct numerical simulations in my research.

Internal waves are an important feature of geophysical fluid dynamics, as stratification is an inherent component of near equilibrium state of ocean and atmosphere. Because of the low viscosity and relative small density difference in the ocean, internal waves typically have much higher amplitude than surface gravity waves generated by the interactions between wind and tides. Synthetic aperture radar images starting from the 1970s, and more recent field experimental campaigns have demonstrated that internal waves are a ubiquitous feature of the coastal oceans, and further laboratory experiments have begun to explore more in depth the physics of such phenomena.

My own work focusses on modeling and numerical simulations, starting with nonlinear two-layer long wave theory and continuing on to full stratified Euler solutions.