Ramjee Sharma
Associate Professor
Department of Mathematics
University of North Georgia
Office: Watkins 190, Gainesville Campus

Selected Publications

  1. Shrestha, P & KC, D, & Sharma, R. Generalized KdV and Burger Equations and Various Vanishing Limits, submitted to Journal of Institute of Science and Technology, Tribhuvan University , Dec 2023, 28(2), 91-99 (2023) ISSN: 2467-9062 (print), e-ISSN: 2467-9240 https://doi.org/10.3126/jist.v28i2.54429 (https://www.nepjol.info/index.php/JIST/index)
  2. Shrestha, P & KC, D, & Sharma, R. 2D Surface Quasi Geostrophic Equations and its Regularity, A Numerical Study. The Nepali Mathematical Sciences Report , December 2023, 40(1-2):71-80, DOI: 10.3126/nmsr.v40i1-2.61501
  3. Shrestha, P & KC, D, & Sharma, R. On the Construction of Traveling Water Waves with Constant Vorticity and Infinite Boundary. International Journal of Mathematics and Mathematical Sciences, Volume 2023, Article ID 6317674. 2023
  4. Nepal, K & Ghimire, K & Sharma, R & Thapa, M. Students' Self-Assessment Behavior in Mathematics Courses: A Function of Their Performance on Academic Assignments. Journal of Excellence in College Teaching, Volume 31. Number3. pp 29-50. 2020
  5. Regmi, D & Sharma, R. Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations. Journal of Mathematical Study, Vol 52, No 1. Pp. 60-74, 10.4208/jms.v52n1.19.06. 2019
  6. Nepal, K & Ghimire, K & Sharma, R & Thapa, M. Self-assessment Accuracy of Undergraduate Mathematics Students' on Academic Performance, MathAMATYC Educator, Vol 10, Number 2. 2019
  7. Nepal, K & Sharma, R. & Kafle, R. Why students cannot execute their own global plans, MathAMATYC Educator. The Journal of the American Mathematical Association of Two-Year Colleges, Volume 9, Number 2. 2018
  8. Sharma, R.. Geometric Criteria for Inviscid 2D Surface Geostrophic Equations. Electronic Journal of Differential Equations, Conf. 24, pp. 115-121. 2017
  9. Nepal, K & Ghimire, K & Sharma, R & Thapa, M. Self-assessment Behaviors of Undergraduate Mathematics Students-A Preliminary Report. Proceedings of the 20th Annual Conference on Research in Undergraduate Mathematics Education, pp. 1360-1366. 2017
  10. Sharma, R. On the Numerical Solutions of 2D Boussinesq Equations with Fractional Dissipation. Neural, Parallel, and Scientific Computations, -AMNS-2016, 25, Number 3 and 4. 2016
  11. Constantin, P & Lai, M-C & Sharma, R & Tseng Y-H & Wu, J. New numerical results on the surface quasi-geostrophic equations, Journal of Scientific Computing, 50:1-28. 2012
  12. Khanal, N & Sharma, R & Wu, J & Yuan, J-M. A dual-Petrov-Galerkin method for extended fifth-order Korteweg-de Vries type equations. Discrete Contin. Dyn. Syst., Dynamical Systems and Differential Equations. Proceedings of the 7th AIMS International Conference, Suppl., 442-450. 2009
  13. (In progress) Mathematical Modeling, Analysis and Simulations of Mixed Convection Nanofluid Flow Problems in collaboration with Dipendra Regmi, UNG and Anilkumar Devarapu, UNG
  14. (In progress) Evolutions of active scalars interpolating the 2D SQG and 2D Euler equations, in collaboration Jiahong Wu, University of Notre Dame, IN, and Dipendra Regmi, UNG
  15. (In progress) Numerical computations of 2D Boussinesq equations with fractional dissipation, in collaboration with Jiahong Wu, University of Notre Dame, IN
  16. (In progress) Euler type equations, in collaboration with Jiahong Wu, University of Notre Dame, IN
  17. (In manuscript) Global Regularity or Finite Time Singularity: 2D Surface Quasi-Geostrophic Equations, Ph.D. Dissertation, 2010
  18. (In manuscript) Cauchy transform and Szego projection, Graduate Minor Thesis
  19. (In manuscript) Various limits involving Kortweg-de Vries type equations, MS Creative Component

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