Postdoctoral Researcher
arijit.das@fau.de
Room 03.362 | Friedrich-Alexander-Universität Erlangen Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67170
I obtained my PhD at the National Institute of Technology Tiruchirappalli. I earned my Bachelor of Science degree in Mathematics from Midnapore College, affiliated with Vidyasagar University, India, from 2011 to 2014. I then pursued my M.Sc. in Applied Mathematics at Vidyasagar University, completing it in 2016. Following my master’s degree, I furthered my education by earning a Bachelor of Education degree from the same university. My commitment to academic excellence enabled me to pass national-level examinations such as GATE and NET-JRF in 2019-2020. In 2020, I was honored to secure a position as a PhD research scholar in the Department of Mathematics at the National Institute of Technology Tiruchirappalli, under the esteemed guidance of Dr. Jitraj Saha.
My research interests are focused on the following areas:
1. Mathematical analysis of ordinary and partial differential equations.
2. Mathematical analysis of particle population balance dynamics.
3. Numerical analysis and simulation of population balance models.
PhD Thesis (synopsis): Mathematical Study of a Discrete Aggregation Model (February 2024)
Events
• FAU DCN-AvH Workshop: Talk Coagulation with collisional fragmentation and applications in wave turbulence kinetics (Mar. 10, 2025) | Slides
My posts on Math & Research
3−wave turbulence kinetics: Numerical approach for energy cascading
Publications
2025
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Numerical schemes for a fully nonlinear coagulation-fragmentation model coming from wave kinetic theory
(2025)
DOI: 10.48550/arXiv.2412.05402
BibTeX: Download
2024
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Improved higher-order finite-volume scheme and its convergence analysis for collisional breakage equation
In: Applied Numerical Mathematics 196 (2024), p. 118-132
ISSN: 0168-9274
DOI: 10.1016/j.apnum.2023.10.010
BibTeX: Download - , :
Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations
In: Zeitschrift für Angewandte Mathematik und Physik 75 (2024), Article No.: 125
ISSN: 0044-2275
DOI: 10.1007/s00033-024-02264-1
BibTeX: Download
2023
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Trend to equilibrium solution for the discrete Safronov-Dubovskiĭ aggregation equation with forcing
In: Proceedings of the Royal Society of Edinburgh Section A-Mathematics (2023)
ISSN: 0308-2105
DOI: 10.1017/prm.2023.116
BibTeX: Download - , , , , :
A note on the volume conserving solution to simultaneous aggregation and collisional breakage equation
In: Axioms (2023)
ISSN: 2075-1680
DOI: 10.3390/axioms12020181
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2022
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Existence and Uniqueness of Mass Conserving Solutions to the Coagulation, Multi-fragmentation Equations with Compactly Supported Kernels
In: Santanu Saha Ray, H. Jafari, T. Raja Sekhar, Suchandan Kayal (ed.): Applied Analysis, Computation and Mathematical Modelling in Engineering, Springer, 2022 (Lecture Notes in Electrical Engineering, Vol.897)
DOI: 10.1007/978-981-19-1824-7_22
BibTeX: Download - , :
On the mass conserving solutions to the singular kernel coagulation with multi fragmentation
In: Japan Journal of Industrial and Applied Mathematics 40 (2022), p. 563-588
ISSN: 0916-7005
DOI: 10.1007/s13160-022-00544-9
BibTeX: Download - , :
The discrete Safronov-Dubovskiı̌ aggregation equation: Instantaneous gelation and nonexistence theorem
In: Journal of Mathematical Analysis and Applications 514 (2022), Article No.: 126310
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2022.126310
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2021
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An application of semigroup theory to the coagulation-fragmentation models
In: Turkish Journal of Mathematics 45 (2021)
ISSN: 1300-0098
DOI: 10.3906/mat-2101-114
BibTeX: Download - , :
On the global solutions of discrete Safronov–Dubovskiǐ aggregation equation
In: Zeitschrift für Angewandte Mathematik und Physik 72 (2021), Article No.: 183
ISSN: 0044-2275
DOI: 10.1007/s00033-021-01612-9
BibTeX: Download
