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Vinay Kumar Gupta

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Dr. Vinay Kumar Gupta

Commonwealth Rutherford Fellow

Room No.: B2.34
Mathematics Institute
Zeeman Building
University of Warwick
Coventry CV4 7AL, UK
Contact (O): +44 (0) 24 765 73512

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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 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
  • Conference Proceedings
  • 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.
  • 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.
  • Posters
  • 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.
  • 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.