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Fractional Calculus | Turbulence | Machine Learning | Uncertainty Quantification | Numerical Methods | Parallel Computing
Pavan Pranjivan Mehta
About
Pavan enjoy's working on challenging topics, and is always looking for new ventures and interesting ideas or applications.
Pavan is pursing PhD Mathematical Analysis (numerical methods) at SISSA, Italy. He hold's two Master's - Thermal and Fluid Engineering from University of Manchester, UK and Applied Math form Brown University, USA; with B.Tech in Aeronautical Engineering. He has held research positions in France, USA, UK and India on interdisciplinary topics, but applied to aerodynamics. His recent research topic of developing turbulence models by exploiting Fractional Calculus, led to three awards. He was also invited to the prestigious Math Institute in Cambridge, UK for two scientific programs, turbulence and fractional differential equations.
Fractional Calculus Seminar Series (Online)
Web : https://mathlab.sissa.it/fractional-calculus-seminars
YouTube: https://www.youtube.com/@FractionalCalculusSeminar
To Join : https://lists.sissa.it/mailman/listinfo/fc-seminars
Get in touch
Email : pavan_pranjivan_mehta@alumni.brown.edu
Email : pavan.mehta@sissa.it
Positions held
2022 | PhD Student | SISSA mathLab, Italy |
2022 | Visiting Scholar | Issac Newton Institute of Math, Cambridge, UK |
2020-22 | Research Assistant (MS) | Brown University, USA |
2019-20 | Research Associate in Applied Math | Brown University, USA |
2018 | Research Engineer | M2P2 lab, CNRS UMR 7340, France |
2017 | Intern | Airbus, India |
2015 | Research Associate | IIT Bombay, India |
Education
2022 | PhD Mathematical Analysis, Modelling and Applications | SISSA, International School of Advanced Studies, Italy |
2020 - 2021 | MS Applied Mathematics | Brown University, USA |
2015 - 2016 | MSc Thermal Power and Fluid Mechanics | The University of Manchester, UK |
2010 - 2014 | B. Tech. Aeronautical Engineering | Vel Tech University, India |
2023 | NSF Fellowship Award at the second IACM 2023 Mechanic Machine Learning and Digital Engineering for Computational Science Engineering and Technology Conference, held from September 24-27, 2023 |
2021 | NSF fellowship - Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology conference, USA. |
2021 | USNC/TAM & NSF Presenter Fellowship at the prestigious conference ICTAM 2020+1, organized by IUTAM once in every four years. |
2020 | Congress GRANT for early career researchers for attending ICTAM 2020+1, IUTAM, Milan, Itlay. |
Awards
Peer Reviewer of Scientific Journals
Frontiers in Physiology, section Computational Physiology and Medicine | |
Applied Mathematical Modelling | |
Sādhanā, Indian Academy of Science | |
Mathematical methods in the applied sciences | |
Communications in nonlinear science and numerical simulation | |
Applied mathematics and computation |
Synergistic Activities
2024 | Organised mini-symposium: ”Advances in Turbulence Modeling using Nonlocal Derivatives, Implicit LES and Deep Learning” at ECCOMAS 2024 conference, Lisbon, Portugal. |
2024 | Organiser of "Fractional Calculus Seminar Series" held online at SISSA. Joint organised with Arran Fernandez. |
2023 | Organised mini-symposium: ”Advances over numerical methods and applications of fractional and nonlocal calculus” at MMLDE-CSET conference, El Paso, TX, USA |
2023 | Organised an Invited talk : Cristofaro L. (Sapienza, University of Rome) (2023) " A Class of non-Gaussian Measures and Related Analysis " at SISSA, Italy |
2023 | Organised an Invited talk : Franandez, A. (2023). Fractional differential equations: initialisation, singularity, and dimensions. at SISSA, Italy |
2022 | Moderator for session of workshop 3 of Fractional Differential Equations at Isaac Newton Institute of Math, Cambridge, UK. |
2022 | Organised junior joint seminar series between three programs (Turbulence, Fractional calculus and Kinetic Theory) at Isaac Newton Institute of Math, Cambridge, UK. |
2021 | President of Indian Community of Brown University, USA |
2020 | Talk Organised: D' Elia, Marta (Sandia National Laboratory) (2020). A Unified Theory of Fractional and Non-Local Vector Calculus, Division of Applied Math, Brown University, USA. |
2015 | Mess Committe Head at Tansa House, IIT Bombay, India |
2015 | Math tutor for under-privileged, Abhiyashika, IIT Bombay |
Recent News and Updates
Timeline | News / update |
|---|---|
05/07/2024 | Organised a special focus session on "Stochastic Process / Probability theory for Fractional PDE" within Fractional Calculus Seminar Series. Link : https://mathlab.sissa.it/fractional-calculus-seminars |
21/06/2024 | Speaker at Fractional Calculus Seminar Series. Talk title : "Fractional Reynolds-averaged Naiver-Stokes Equations". |
05/06/2024 | Chaired two MS sessions at ECCOMAS conference, Lisbon; titled, "Advances in Turbulence Modeling using Nonlocal Derivatives, Implicit LES and Deep Learning. Jointly organised with Profs. G. Rozza and M. D'Elia. |
05/06/2024 | Speaker at ECCOMAS. Talk title : "Fractional Reynolds-averaged Naiver-Stokes Equations". |
24/05/2024 | Organised a special focus session on "Turbulence - fractional/nonlocal modeling" within Fractional Calculus Seminar Series. https://mathlab.sissa.it/fractional-calculus-seminars |
03/05/2024 | Kick off lecture/talk by Prof. Yuri Luchko for Fractional Calculus Seminar Series. |
15/04/2024 | Organiser of "Fractional Calculus Seminar Series" held online at SISSA. Jointly organised with Arran Fernandez. Link : https://mathlab.sissa.it/fractional-calculus-seminars |
31/10/2023 | Published in J. Turbulence " Pavan Pranjivan Mehta (2023) Fractional and tempered fractional models for Reynolds-averaged Navier–Stokes equations. DOI: 10.1080/14685248.2023.2274100" |
15/09/2023 | MS accepted, titled, "Advances in Turbulence Modeling using Nonlocal Derivatives, Implicit LES and Deep Learning" held at ECCOMAS 2024, Lisbon, Portugal. Jointly organized with Dr. Marta D'Elia and Prof. Gianluigi Rozza |
12/05/2023 | Pavan deliver's an invited talk, titled, "Nonlocal turbulence modeling by developing a fractional stress-strain relationship for Reynolds-averaged Navier-Stokes Equations." during Workshop on Fractional Calculus, Special Functions and Applications, held at La Sapienza University of Rome. Organised by, Prof. L. Beghin, Prof. A. D. Gregorio, Prof. F. Mainardi, Prof. C. Ricciuti, Prof. E. Scalas. https://sites.google.com/view/fcsf2023/home?pli=1 |
02/05/2023 | Mehta, P.P., 2023. Fractional and tempered fractional models of Reynolds-averaged Navier-Stokes equations for Turbulent flows. arXiv preprint arXiv:2305.00770 |
25/01/2023 | Pavan invite's Prof. Arran Fernandez for a talk at SISSA, titled, "Fractional differential equations: initialisation, singularity, and dimensions" |
18/01/2023 | Editor of SISSA MathLab Blog hosted over medium : https://medium.com/sissa-mathlab |
03/01/2023 | Approval received to organise a mini-symposium on ”Advances over numerical methods and applications of fractional and nonlocal calculus” at the upcoming MMLDE-CSET conference in September 2023 (2nd IACM MMLDE-CSET (utep.edu)). Jointly orgainzed, with Dr. Marta D'Elia and Prof. Gianluigi Rozza. |
20/12/2022 | Pavan is elected as a PhD Student Representative of Student Council at SISSA, Italy. |
01/10/2022 | Pavan joins PhD Mathematical Analysis (mathLab) at SISSA, International School of Advanced Studies, Trieste, Italy |
26/07/2022 | Invited talk at IMEC, Belgium titled "Non-local Turbulence modelling using Fractional Derivatives" |
26/06/2022 | Invited talk at Dept. of Aeronautics, Imperial College London titled "Non-local Turbulence modelling using Fractional Derivatives" |
13/06/2022 | Invited talk at Dept. of Engineering Design, IIT Madras, India titled "Non-local Turbulence modelling using Fractional Derivatives" |
13/04/2022 | Invited talk at Isaac Newton Institute of Mathematical Sciences, Cambridge, UK titled "Addressing anamolous diffusion of turbulent flows using fractional derivatives" |
30/03/2022 | Poster Presentation during workshop 4 of Turbulence program at Isaac Newton Institute of Mathematical Sciences, Cambridge, UK over non-local (fractional) modelling of Boundary Layers (transitional, turbulent and separated) |
28/03/2022 | Invitation to workshop 4 of Turbulence program at Isaac Newton Institute of Mathematical Sciences, Cambridge, UK |
01/03/2022 | Invitation for the scientific program "Mathematical aspects of turbulence: where do we stand?" at Isaac Newton Institute of Mathematical Sciences, Cambridge, UK |
04/01/2022 | Invitation for the scientific program "Fractional Differential Equation" at Isaac Newton Institute of Mathematical Sciences, Cambridge, UK |
22/12/2021 | Pavan finishes MS Applied Math at Brown University, USA |
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