糖心TV

Dr. Vinay Kumar Gupta Commonwealth Rutherford Fellow Room No.: B2.34 Mathematics Institute Zeeman Building University of 糖心TV 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: )
• M.S. (Engg. by research), 2011, Jawaharlal Nehru Centre for Advanced Scientific Research, India (Advisor: )
• 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 糖心TV, 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, G枚ttingen, 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

• , Biswas, L. and Gupta, V. K. (2019) Shear-banding instability in arbitrarily inelastic granular shear flows, [].
• , Gupta, V. K. and (2018) Coupled constitutive relations: A second law based higher order closure for hydrodynamics, [] [].
• Gupta, V. K., and (2018) Higher-order moment theories for dilute granular gases of smooth hard spheres, [].
• Gupta, V. K. and (2016) Reprint of: Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres, .
• Gupta, V. K., and (2016) Regularized moment equations for binary gas mixtures: Derivation and linear analysis, .
• Gupta, V. K. and (2015) Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres, .
• Gupta, V. K. and (2015) Higher order moment equations for rarefied gas mixtures, .
• , and Gupta, V. K. (2009) Density waves and the effect of wall roughness in granular Poiseuille flow: Simulation and linear stability, .

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Preprints:

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

• Conference Proceedings

• Gupta, V. K. and (2019) Heat flux in binary gas mixtures confined between two parallel plates via moment equations, , 31st International Symposium on Rarefied Gas Dynamics, University of Strathclyde, Glasgow, UK, July 23–27, 2018.
• Gupta, V. K. and (2017) Grad-type fourteen moment theory for dilute granular gases, , Perspectives in Nonlinear Dynamics (PNLD) 2016, Humboldt-Universit盲t zu Berlin, Germany, July 25–29, 2016 [].
• Gupta, V. K. and (2015) Heat transfer in binary gas-mixtures confined in a square cavity, , International Conference on Computational Heat and Mass Transfer (ICCHMT) - 2015, NIT Warangal, India, November 30–December 02, 2015 [].
• Gupta, V. K. and (2015) Heat transfer in binary gas-mixtures confined in a square cavity, , 3rd ECCOMAS Young Investigators Conference, RWTH Aachen University, Aachen, July 20–23, 2015 [: go to page 104].
• Gupta, V. K., Sarna, N. and (2014) Grad's moment equations for binary hard sphere gas-mixtures, , 4th Micro and Nano Flows Conference, UCL, London, UK, September 07–10, 2014 [].
• Gupta, V. K. and (2012) Automated Boltzmann collision integrals for moment equations, , 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, , University of Cambridge, UK, May 02, 2019.
• Gupta, V. K. (2019) Moment-based modelling of dilute granular gases, , University of Oxford, UK, May 01, 2019.
• , Selvan, S. A. and Gupta, V. K. (2019) , The 34th International Workshop on Water Waves and Floating Bodies, Newcastle, NSW, Australia, April 07–10, 2019.
• Gupta, V. K. and (2015) Application of Grad鈥檚 moment equations for binary gas-mixtures, 4th Symposium of the German SIAM Student Chapters, Universit盲t Trier, Trier, Germany, August 26–28, 2015.
• Gupta, V. K. and (2011) Constitutive relations for granular fluid of smooth inelastic hard spheres, to Burnett order, , March Meeting of American Physical Society, Dallas, Texas (USA), March 21–25, 2011.

• Book chapters

• , 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 糖心TV Postdoctoral Science Symposium, University of 糖心TV, United Kingdom, May 07, 2019.
• Gupta. V. K. and (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 (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:

• 鈥淢athematical Models in Science and Engineering (ODEs)鈥� in winter semester 2015.
• 鈥淢ath-III (Variational Calculus, Numerical Analysis)鈥� in winter semester 2013.
• 鈥淢ath-IV (Introduction to Partial Differential Equations)鈥� in summer semester 2013.
• 鈥淢athematical Models in Science and Engineering (ODEs)鈥� in winter semester 2012.
• 鈥淢athematical Models in Science and Engineering (ODEs)鈥� in winter semester 2011.