Dr. Subha Pal’s research focuses on the mathematical analysis of partial differential equations (PDEs) arising in fluid dynamics, with an emphasis on Navier–Stokes equations, fractional dissipative systems, and nonlinear eigenvalue problems. His work combines rigorous analytical techniques from functional analysis, spectral theory, and dynamical systems to address fundamental questions of existence, uniqueness, regularity, and long-term behavior of solutions.

During his doctoral studies at Tezpur University, Dr. Pal investigated Navier–Stokes equations with slip boundary conditions, establishing well-posedness results and generalized energy inequalities that are relevant in micro- and nano-fluidics. His subsequent independent research extends to time-fractional Navier–Stokes models and systems with fractional dissipation, where he has identified critical dissipation exponents, proven the existence of global attractors, and derived sharp dimension bounds for turbulent flows.

Dr. Pal has published his findings in respected peer-reviewed journals, including Acta Mathematica Scientia, Rocky Mountain Journal of Mathematics, and Journal of Applied Mathematics and Computing. His research bridges abstract mathematical theory with physically motivated models, contributing to both the advancement of mathematical analysis and its applications in fluid mechanics and related fields.

Dr. Subha Pal’s teaching philosophy is rooted in clarity, accessibility, and engagement, shaped by his personal journey and academic experiences. With over 3.5 years of teaching experience, he has taught a broad range of mathematics courses, from foundational subjects like Real Analysis, Linear Algebra, Differential Equations, and Probability & Statistics, to advanced topics such as Functional Analysis and Measure Theory, as well as applied courses including C Programming and MATLAB.