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Vinay Kumar Gupta

vinay_c.jpg  

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 (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

Preprints:

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