Arijit Das
Senior Research Fellow
Department of Mathematics
National Institute of Technology, Tiruchirappalli
Email: arijitdasma@gmail.com
Brief profile: I earned my Bachelor of Science degree in Mathematics (Honors) from Midnapore College, affiliated with Vidyasagar University, between 2011 and 2014. Following this, I continued my academic journey at Vidyasagar University, where I enrolled in the M.Sc. in Applied Mathematics program and successfully completed my master's degree in 2016. After obtaining my M.Sc., I furthered my educational qualifications by earning a Bachelor of Education degree from the same university. My dedication to academic excellence led me to achieve significant milestones, including successfully passing national-level examinations like GATE and NET-JRF in 2019-2020. Subsequently, in 2020, I secured a coveted position as a Junior Research Fellow in the department of Mathematics at the National Institute of Technology Tiruchirappalli. Under the esteemed guidance of Dr. Jitraj Saha, I embarked on my Ph.D. journey. My commitment and contributions to research were recognized, and in 2022, I advanced to the position of Senior Research Fellow, marking another significant step in my academic and research career.
Broad area of my research: I am working in the mathematical and numerical analysis of integrodifferential equations. My research problem is the mathematical representation of the particulate processes like aggregation and fragmentation that are occurring in various natural phenomena, as well as, in different engineering sectors. A well-known application of particulate processes is the formation of instant coffee powder, pharmaceutical tablets/capsules, grinding of minerals from their ores etc. In our study, we try to incorporate the physically realistic kinetic rates of particle aggregation and fragmentation in the standard model and then examine the following mathematical aspects of the solutions.
Existence, Non-existence, and Uniqueness Analysis: I am dedicated to the analysis of solutions to the coagulation fragmentation models exploring existence, non-existence, and uniqueness characteristics.
Asymptotic Analysis: My research also delves into the asymptomatic behavior of these solutions, whether they reach equilibrium or remain in a non-equilibrium state. I am particularly interested in investigating properties such as gelation and shattering.
Numerical Approximation: To complement the theoretical investigations, I am involved in developing numerical schemes utilizing sectional methods, including finite volume, fixed pivot technique, etc. My work also encompasses a thorough convergence analysis of these numerical approximations.
Recent Publications:
Arijit Das, Jitraj Saha. Approximate solutions to the nonlinear hyperbolic population balance equation: Convergence, error estimates and numerical simulations, Accepted for publication in Zeitschrift für angewandte Mathematik und Physik (ZAMP), 2024.
Arijit Das, Jitraj Saha. Trend to equilibrium solution for the discrete Safronov-Dubovskiĭ aggregation equation with forcing, Accepted for publication in Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2023.
Arijit Das, Prakrati Kushwah, Jitraj Saha, Mehakpreet Singh. Improved higher-order finite-volume scheme and its convergence analysis for collisional breakage equation; Volume 196, Pages 118-132, Applied Numerical Mathematics, 2023.
Other Academic Profile: