# Vinay Kumar Gupta

## Dr. Vinay Kumar GuptaCommonwealth Rutherford Fellow Room No.: B2.34 |

**Education**

**Dr. rer. nat.,**2015, RWTH Aachen University, Germany (Advisor: Prof. Manuel Torrilhon)**M.S.**(Engg. by research), 2011, Jawaharlal Nehru Centre for Advanced Scientific Research, India (Advisor: Prof. Meheboob Alam)**M.Sc.**(Applied Mathematics), 2007, Indian Institute of Technology Roorkee, India.**B.Sc.**, 2005, University of Lucknow, India.

**Experience**

**Commonwealth Rutherford Fellow**(postdoc), Mathematics Institute, University of Warwick, UK (26 March 2018 - )**Assistant Professor**, Department of Mathematics, SRM Institute of Science and Technology, Chennai, India (01 September 2016 - 19 March 2018)**Post doctoral Fellow**, Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany (14 january 2016 - 31 August 2016)**Research Assistant**, Department of Mathematics (CCES), RWTH Aachen University, Germany (06 June 2011 - 31 December 2015)**Visiting Student**, Department of Mechanical Engineering, University of Victoria, Victoria, B.C., Canada (05 May 2014 - 04 June 2014)**Associate Software Engineer**, Accenture Services Pvt. Ltd., Mumbai, India (16 August 2007 - 16 July 2008)

**Research Interests**

- Kinetic theory of gases
- Granular gases
- Fluid Mechanics
- Hydrodynamic stability
- Numerical methods

**Publications**

**Journals**

- Shukla, P., Biswas, L. and
Gupta, V. K.(2019) Shear-banding instability in arbitrarily inelastic granular shear flows, Physical Review E,100, 032903 [arXiv preprint].- Rana, A. S.
, Gupta, V. K. andStruchtrup, H. (2018) Coupled constitutive relations: A second law based higher order closure for hydrodynamics, Proceedings of the Royal Society A,474: 20180323 [pdf] [arXiv preprint].Gupta, V. K., Shukla, P. and Torrilhon, M. (2018) Higher-order moment theories for dilute granular gases of smooth hard spheres, Journal of Fluid Mechanics,836, 451–501 [arXiv preprint].Gupta, V. K.and Torrilhon, M. (2016) Reprint of: Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres, Computers and Mathematics with Applications,72, 271–287.Gupta, V. K., Struchtrup, H. and Torrilhon, M. (2016) Regularized moment equations for binary gas mixtures: Derivation and linear analysis, Physics of Fluids,28:042003.Gupta, V. K.and Torrilhon, M. (2015) Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres, Computers and Mathematics with Applications,70, 73–88.Gupta, V. K.and Torrilhon, M. (2015) Higher order moment equations for rarefied gas mixtures, Proceedings of the Royal Society A,471:20140754.- Alam, M., Chikkadi, V. and
Gupta, V. K.(2009) Density waves and the effect of wall roughness in granular Poiseuille flow: Simulation and linear stability, European Physical Journal ST,179, 69–90.

Preprints:

Gupta, V. K.(2019) Moment theories for a d-dimensional dilute granular gas of Maxwell molecules [submitted, arXiv preprint].

**Conference Proceedings**

Gupta, V. K.and Torrilhon, M. (2019) Heat flux in binary gas mixtures confined between two parallel plates via moment equations, AIP Conference Proceedings, Vol.2132, 120003, 31st International Symposium on Rarefied Gas Dynamics, University of Strathclyde, Glasgow, UK, July 23–27, 2018.Gupta, V. K.and Shukla, P. (2017) Grad-type fourteen moment theory for dilute granular gases, Indian Academy of Sciences Conference, Vol.1, pp. 133–143, Perspectives in Nonlinear Dynamics (PNLD) 2016, Humboldt-Universität zu Berlin, Germany, July 25–29, 2016 [pdf].Gupta, V. K.and Torrilhon, M. (2015) Heat transfer in binary gas-mixtures confined in a square cavity, Procedia Engineering, Vol.127, pp. 10–17, International Conference on Computational Heat and Mass Transfer (ICCHMT) - 2015, NIT Warangal, India, November 30–December 02, 2015 [pdf].Gupta, V. K.and Torrilhon, M. (2015) Heat transfer in binary gas-mixtures confined in a square cavity, Proceedings of the YIC GACM 2015, 3rd ECCOMAS Young Investigators Conference, RWTH Aachen University, Aachen, July 20–23, 2015 [pdf: go to page 104].Gupta, V. K., Sarna, N. and Torrilhon, M. (2014) Grad's moment equations for binary hard sphere gas-mixtures, MNF2014 Proceedings (ISBN:978-1-908549-16-7), 4th Micro and Nano Flows Conference, UCL, London, UK, September 07–10, 2014 [pdf].Gupta, V. K.and Torrilhon, M. (2012) Automated Boltzmann collision integrals for moment equations, AIP Conference Proceedings, Vol.1501, pp. 67–74, 28th International Symposium on Rarefied Gas Dynamics 2012, Zaragoza, Spain, July 09–13, 2012.

**Conference Proceedings (Abstract only)**

Gupta, V. K.(2019) Grad moment method for dilute granular gases of inelastic Maxwell molecules, 05th Annual Conference of the SIAM-IMA Cambridge Student Chapter, University of Cambridge, UK, May 02, 2019.Gupta, V. K.(2019) Moment-based modelling of dilute granular gases, 11th Annual SIAM-IMA Oxford Student Chapter Conference, University of Oxford, UK, May 01, 2019.- Behera, H., Selvan, S. A. and
Gupta, V. K.(2019) Wave interaction with a floating circular flexible porous membrane in a two-layer fluid, The 34th International Workshop on Water Waves and Floating Bodies, Newcastle, NSW, Australia, April 07–10, 2019.Gupta, V. K. and Torrilhon, M.(2015) Application of Grad’s moment equations for binary gas-mixtures, 4th Symposium of the German SIAM Student Chapters, Universität Trier, Trier, Germany, August 26–28, 2015.Gupta, V. K.and Alam, M. (2011) Constitutive relations for granular fluid of smooth inelastic hard spheres, to Burnett order, Bulletin of the American Physical Society, Vol.56(1), March Meeting of American Physical Society, Dallas, Texas (USA), March 21–25, 2011.

**Book chapters**

- Behera, H., Selvan, S. A. and
Gupta, V. K., Wave interaction with a floating circular porous elastic plate, accepted for publication in Mathematical Modelling and Scientific Computing with Applications, Springer Nature, Singapore.

**Posters**

Gupta. V. K.(2019) Mathematical modelling of dilute granular gases, 2nd Warwick Postdoctoral Science Symposium, University of Warwick, United Kingdom, May 07, 2019.Gupta. V. K.and Torrilhon, M. (2015) Flow of binary gas-mixtures in a lid-driven square cavity, 3rd Aachen conference on computational engineering science, RWTH Aachen University, Germany, July 23–24, 2015.Gupta, V. K.and Torrilhon, M. (2014) Moment equations for rarefied gas-mixtures, Workshop on moment methods in kinetic theory II, The Fields Institute for research in mathematical sciences, University of Toronto, Canada, October 14–17, 2014.

**Theses**

Gupta, V. K., Mathematical modeling of rarefied gas-mixtures, Ph.D. Thesis, RWTH Aachen University (Germany), 2015.Gupta, V. K., Kinetic theory and Burnett order constitutive relations for a smooth granular gas, M.S. Thesis, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore (India), 2011.

**Teaching**

- Full Courses at SRM Institute of Science and Technology (formerly known as SRM University):

- "Advanced Calculus and Complex Analysis" (Even Semester 2018, undergraduate).
- "Ordinary Differential Equations" (Odd Semester 2017, postgraduate).
- "Calculus and Solid Geometry" (Odd Semester 2017, undergraduate).
- "Advanced Calculus and Complex Analysis" (Even Semester 2017, undergraduate).
- "Calculus and Solid Geometry" (Odd Semester 2016, undergraduate).

- Teaching assistant for the following courses at RWTH Aachen University, Germany:

- “Mathematical Models in Science and Engineering (ODEs)” in winter semester 2015.
- “Math-III (Variational Calculus, Numerical Analysis)” in winter semester 2013.
- “Math-IV (Introduction to Partial Differential Equations)” in summer semester 2013.
- “Mathematical Models in Science and Engineering (ODEs)” in winter semester 2012.
- “Mathematical Models in Science and Engineering (ODEs)” in winter semester 2011.