Arnab Roy
Basque Center for Applied Mathematics (BCAM)
Basque Center for Applied Mathematics (BCAM)
Welcome to my homepage. I am an Ikerbasque Researcher and Ramón y Cajal Fellow at the Basque Center for Applied Mathematics (BCAM) in Bilbao, Spain, affiliated with the Applied Analysis group.
My research lies at the interface of fluid mechanics, partial differential equations, and control theory, with a primary focus on fluid–structure interaction (FSI). I am particularly interested in the mathematical analysis of complex coupled systems, addressing fundamental questions of existence, uniqueness, regularity, stability, singular limits, and long-time behavior of solutions. My work combines techniques from nonlinear PDE theory, functional analysis, and mathematical modeling, and is motivated by applications arising in biological flows, geophysical fluid dynamics. My long-term goal is to develop rigorous mathematical frameworks for multiscale and multiphysics models arising in fluid dynamics and continuum mechanics, bridging theoretical analysis with realistic applications. Current directions of interest include FSI with porous and elastic media, collective effects of particle flows, stochastic fluid–structure systems, and time-periodic dynamics.
I am currently the Principal Investigator of the Spanish National Project PID2023-146764NB-I00 (2024–2028) and a recipient of the Ikerbasque Research Fellowship and the Ramón y Cajal Fellowship, funded by the Spanish Ministry of Science.
Before joining BCAM, I held a Humboldt Research Fellowship at TU Darmstadt, Germany, and completed earlier postdoctoral work at the Czech Academy of Sciences and INRIA Nancy. I earned my Ph.D. from the Tata Institute of Fundamental Research-CAM (TIFR-CAM) in Bangalore under the supervision of Prof. Mythily Ramaswamy.
I am always interested in collaborations, interdisciplinary projects, and the supervision of motivated Ph.D. students and postdoctoral researchers in the areas of PDEs, fluid mechanics, and control theory.