Heba Yousef

I am a Ph.D. candidate in Applied Mathematics at the New Jersey Institute of Technology, working under the advisement of Dr. Lou Kondic and Dr. Linda Cummings in the Complex Fluids and Surface Mathematics (CFSM) research group.

My research focuses on the coupled dynamics of nanobubbles in acoustic fields. I develop mathematical models for multi-bubble Rayleigh–Plesset systems, studying how nanobubbles interact through acoustic coupling, translate under Bjerknes and drag forces, and undergo shape and mass stability transitions. My work combines analytical methods — perturbation theory, Floquet analysis, and asymptotic expansions — with high-fidelity numerical simulation.

I am passionate about making rigorous mathematics accessible and about the rich physics that emerges at the interface of fluid dynamics, acoustics, and nanoscale science.

Presented at the NJIT Nanobubbles Conference, August 2026.