Arijit Das (অরিজিৎ দাস)

Postdoctoral Research Fellow

Chair for Dynamics, Control, Machine Learning and Numerics - Alexander von Humboldt Professorship

Department of Mathematics

Friedrich-Alexander-Universität-Nürnberg, Germany

Email: arijit.das@fau.de , arijitdasma@gmail.com

Brief profile: I am a postdoctoral researcher at the Chair for Dynamics, Control, Machine Learning, and Numerics - Alexander von Humboldt Professorship in the Department of Mathematics at Friedrich-Alexander Universität, lead by Professor Enrique Zuazua. I defended my PhD thesis in June 2024 at the National Institute of Technology Tiruchirappalli in India under the supervision of Professor Jitraj Saha.

Prior to pursuing my PhD, I earned a Bachelor of Science degree in Mathematics (Honors) from Midnapore College, affiliated with Vidyasagar University, from 2011 to 2014. I then continued at Vidyasagar University, enrolling in the M.Sc. in Applied Mathematics program, and completed my master's degree in 2016. Following my M.Sc., I obtained a Bachelor of Education degree from the same university. My commitment to academic excellence is reflected in my achievements, including passing national-level examinations such as GATE and NET-JRF in 2019-2020.

Broad area of my research: My research focuses on the mathematical and numerical analysis of integrodifferential equations, particularly in the context of particulate processes such as aggregation and fragmentation. These processes occur in a variety of natural phenomena and are also crucial in different engineering sectors. A well-known application of particulate processes includes the production of instant coffee powder, the manufacturing of pharmaceutical tablets and capsules, and the grinding of minerals from their ores. In my study, I aim to incorporate physically realistic kinetic rates for particle aggregation and fragmentation into standard models and then examine various mathematical aspects of the resulting 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.