Indian Institute of Information Technology

Dr. Shiv Mohan

Full Time Visiting Faculty
Indian Institute of Technology Kharagpur, India

Office Address:

Cabin/Room No: 213, 2nd Floor,

Academic Qualifications

Education:

Ph.D 

Ph.D (Applied Mathematics): Indian Institute of Technology Kharagpur, 2022.

M.Sc

M.Sc. (Mathematics): Indian Institute of Technology Kharagpur, 2017.

B.Sc

B.Sc. (Hons.): Aligarh Muslim University, Aligarh, 2015.

Experience

  • Postdoctoral Researcher (December, 2022--January, 2025): National Taiwan University, Taipei, 10617, Taiwan.
  • Research Associate (April, 2022—November, 2022): Indian Institute of Technology Roorkee, Roorkee, 247667, Uttarakhand, India.

Research Areas of Interest

  • Stochastic Differential Equations (SDEs) in Turbulence
  • Numerical Schemes for SDEs and Non-linear PDEs
  • Semi-analytical Methods for Non-Linear Differential Equations
  • Multivariate Stochastic Models in Open Channel Flow
  • Particle Tracking Models for Sediment in Turbulence
  • Mechanics of Sediment Transport

Awards / Honours

  • Postdoctoral Fellowship (December, 2022—January, 2025) awarded by National Science and Technology Council (NSTC) Taiwan.
  • MHRD Institute Fellowship (June, 2017–March, 2022) for Ph.D. from IIT Kharagpur.
  • INSPIRE Scholarship (July, 2012–May, 2017) for Higher Education from Department of Science and Technology (DST), India.
  • Qualified GATE (2018) exam in Mathematics.
  • Qualified IIT-JAM (2015) exam in Mathematics.

Publications / Projects

Journals:
  • Rajan Arora and Shiv Mohan* (2025). Semi-analytical solution for two-dimensional coupled nonlinear Burgers' equations using homotopy analysis method. Rockey Mountain Journal of Mathematics, vol 55, no. 2, pp. 299-311.
  • Shi-Wei. Lin, Shiv Mohan, and Christina W. Tsai* (2024). Modified stochastic diffusion particle-tracking model (MSDPTM) incorporating energy cascade theory and eddy intermittency for suspended sediment transport in open channel flow. Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 34, no. 10. Publisher: AIP.
  • Shiv Mohan and Christina W. Tsai* (2024). Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy. Chaos Solitons & Fractals, Vol 178, pp 114313. Publisher: Elsevier.
  • Arun Kumar, Sourav Hossain, Sumit Sen, Shiv Mohan, and Koeli Ghoshal* (2024). Grain-size distribution in suspension under non-equilibrium conditions. International Journal of Sediment Research, vol. 39, no. 5, pp. 774–794. Publisher: Elsevier.
  • Sourav Hossain, Shiv Mohan, Koeli Ghoshal* and Anirban Dhar (2023). Unsteady numerical simulation of suspended load in relation to grain-size distribution. Environmental Earth Sciences, Vol 82(9), pp 1-18. Publisher: Springer.
  • Snehasis Kundu, Sumit Sen, Shiv Mohan, and Koeli Ghoshal* (2022) Two-dimensional distribution of stream-wise mean velocity in turbulent flow with effect of suspended sediment, Environmental Fluid Mechanics, Vol 22(1), pp 133-158. Publisher: Springer.
  • Manotosh Kumbhakar, Shiv Mohan*, Koeli Ghoshal, Jitendra Kumar and Vijay P Singh (2022). Semi-analytical solution for non-equilibrium suspended sediment transport in open channels with concentration-dependent settling velocity, Journal of Hydrologic Engineering, Vol 27(2), Article No 04021048. Publisher: ASCE (American Society of Civil Engineers).
  • Shiv Mohan, Snehasis Kundu, Koeli Ghoshal* and Jitendra Kumar (2021) Numerical study on two-dimensional distribution of streamwise velocity in open channel turbulent flows with secondary current effect, Archives of Mechanics, Vol 73(2), pp 175-200. Publisher: Polish Academy of Sciences.
  • Shiv Mohan, Manotosh Kumbhakar, Koeli Ghoshal* and Jitendra Kumar (2020) Semianalytical solution for one-dimensional unsteady sediment transport model in open channel with concentration-dependent settling velocity, Physica Scripta, Vol 95(5), Article number 055204. Publisher: IOP (Institute of Physics) Publishing.
  • Shiv Mohan, Manotosh Kumbhakar, Koeli Ghoshal* and Jitendra Kumar (2019) SemiAnalytical Solution for Simultaneous Distribution of Fluid Velocity and Sediment Concentration in Open Channel Flow, Journal of Engineering Mechanics, Vol 145(11), Article number 04019090. Publisher: ASCE (American Society of Civil Engineers).

Conferences (Published/Presented):
  • Shiv Mohan, S. Debnath, K. Ghoshal, and J. Kumar (2020). “Distribution of two-dimensional unsteady sediment concentration in an open channel flow,” in Mathematical Modeling and Computational Tools: ICACM 2018, Kharagpur, India, November 23–25, Springer, 2020, p. 83–90.
  • Shiv Mohan and Christina. W. Tsai (2023). “Entropy-based analysis of nonuniform suspended sediment transport,” in 34th KKHTCNN, November 23–25, Pattaya, Thailand., 2023.
Book Chapters
Invited Talks
  • Delivered a talk titled "The Ornstein–Uhlenbeck (OU) Process in a Multivariate Stochastic Model for Suspended Sediment Transport" in October 2024 at the Department of Civil Engineering, National Taiwan University, Taipei, Taiwan.
  • Invited Speaker, National e-Seminar on "Recent Trends of Mathematics", December 18, 2024, organized by the Department of Mathematics, Lalit Narayan Mithila University, Darbhanga, India.
  • Invited Speaker, delivered a series of lectures in the workshop "Physics-Driven Machine Learning for Fluid Dynamics with Special Reference to Weather Prediction (PDMF-WP 2025)", held from May 2 to May 6, 2025, at the Department of Engineering Sciences, ABV-IIITM Gwalior, India.

Patents

Teaching

Contact Information

Address for Communication:

Dr. Shiv Mohan,
Full Time Visiting Faculty,
Cabin/Room No: 213, 2nd Floor,