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Fractional Calculus | Turbulence | Machine Learning | Uncertainty Quantification | Numerical Methods | Parallel Computing

Pavan Pranjivan Mehta

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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)

Get in touch

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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