Dr. Vinay Kumar Gupta

Dr. rer. nat.

Research Assistant Professor

Dr. Gupta joined SRM Research Institute & Department of Mathematics, SRM University as a Research Assistant Professor in September 2016. Prior to this, he was a postdoc in Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany during January–August 2016, where his work dealt with granular gases under the supervision of Dr. Marco G. Mazza. Dr. Gupta earned his doctoral degree (Dr. rer. nat.) from RWTH Aachen University, Germany in 2015 under the guidance of Prof. Dr. Manuel Torrilhon and M.S. (Engineering) degree from Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru, India in 2011 under the guidance of Prof. Dr. Meheboob Alam. During his doctoral degree, he worked on the mathematical modeling of rarefied gas-mixtures while on the kinetic theory of granular gases during his M.S. degree. He has also earned M.Sc. (Applied Mathematics) degree from Indian Institute of Technology Roorkee, India in 2007.

His current research focuses on mathematical modeling and numerical simulations of rarefied gases, gas mixtures and granular gases.

  • Kinetic theory of gases
  • Granular gases
  • Hydrodynamic stability
  • Numerical methods

Looking for young and motivated students to work in the area of Applied Mathematics

External Links


Conference Proceedings

  • Gupta, V. K. and Shukla, P. (2017) Grad-type fourteen moment theory for dilute granular gases, Indian Academy of Science - Conference Series (accepted), , Perspectives in Nonlinear Dynamics (PNLD) 2016, Humboldt-Universität zu Berlin, Germany, July 25-July 29 2016.
  • 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. 
  • Gupta, V. K. and Torrilhon, M. (2015) Heat transfer in binary gas-mixtures confined in a lid-driven 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 gas-mixtures, 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 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. 


  • 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, Aachen (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, Toronto (Canada), October 14–17, 2014. 


  • 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. 


Full Courses at SRM University:

  • "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.

Interested persons are requested to contact:

Dr. Vinay Kumar Gupta
SRM Research Institute & Department of Mathematics,
SRM Unviersity, 
Room 709, University Building, 
Kattankulathur, Kancheepuram District
603203, India