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 (26 March 2018 )
 Assistant Professor, Department of Mathematics, SRM Institute of Science and Technology, Chennai, India (01 September 2016 )
 Post doctoral Fellow, Max Planck Institute for Dynamics and SelfOrganization, 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
 Rana, A. S., Gupta, V. K. and Struchtrup, 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) Higherorder 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 gasmixtures 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 gasmixtures 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.
 Conference Proceedings
 Gupta, V. K. and Shukla, P. (2017) Gradtype fourteen moment theory for dilute granular gases, Indian Academy of Sciences Conference, Vol. 1, pp. 133–143, Perspectives in Nonlinear Dynamics (PNLD) 2016, HumboldtUniversität zu Berlin, Germany, July 25–29, 2016.
 Gupta, V. K. and Torrilhon, M. (2015) Heat transfer in binary gasmixtures 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.
 Gupta, V. K. and Torrilhon, M. (2015) Heat transfer in binary gasmixtures confined in a liddriven square cavity, Proceedings of 3rd ECCOMAS Young Investigators Conference, RWTH Aachen University, Aachen, July 20–23, 2015.
 Gupta, V. K., Sarna, N. and Torrilhon, M. (2014) Grad's moment equations for binary hard sphere gasmixtures, MNF2014 Proceedings (ISBN: 9781908549167), 4th Micro and Nano Flows Conference, UCL, London, UK, September 07–10, 2014.
 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. and Torrilhon, M. (2015) Application of Grad’s moment equations for binary gasmixtures, 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.
 Posters
 Gupta. V. K. and Torrilhon, M. (2015) Flow of binary gasmixtures in a liddriven square cavity, 3rd Aachen conference on computational engineering science, RWTH Aachen University, Aachen (Germany), July 23–24, 2015.
 Gupta, V. K. and Torrilhon, M. (2014) Moment equations for rarefied gasmixtures, Workshop on moment methods in kinetic theory II, The Fields Institute for research in mathematical sciences, University of Toronto, Toronto (Canada), October 14–17, 2014.
 Theses
 Gupta, V. K., Mathematical modeling of rarefied gasmixtures, 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.
 “MathIII (Variational Calculus, Numerical Analysis)” in winter semester 2013.
 “MathIV (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.