Pranava Jayanti

Pranava Jayanti is an Assistant Professor (RTPC) of Mathematics at the University of Southern California, affiliated with the Dornsife College of Letters, Arts and Sciences. He holds a Ph.D. in Mathematics from the University of Maryland College Park (2022). His research focuses on mathematical analysis of fluid dynamics models, particularly in superfluidity and nonlinear systems. Key areas include the study of Boussinesq equations, Navier-Stokes systems coupled with nonlinear Schrödinger equations, and global solution properties of PDEs.

Dr. Jayanti explores superfluidity through multiscale models (macro- and micro-scale) and investigates topics such as mass transfer, uniqueness of solutions, and asymptotic properties. His work bridges analytical rigor with applied problems in physics and engineering. Recent contributions include advancements in the Pitaevskii model and 3D superfluid dynamics.

His academic trajectory reflects a commitment to advancing mathematical frameworks for understanding complex fluid phenomena. No scientific awards or grants are explicitly listed in the provided materials, though his active publication record suggests ongoing research initiatives.