Dr. Sougata Mandal

Designation: Assistant Professor

Biography:

Dr. Sougata Mandal is a researcher in Applied Mathematics specializing in local and nonlocal symmetry analysis of differential equations. He completed his Ph.D. at the Indian Institute of Technology Jodhpur in 2025, where his thesis focused on symmetry-based analytical methods for complex flow problems. He holds an M.Sc. in Applied Mathematics from Vidyasagar University and a B.Sc. in Mathematics from Midnapore Autonomous College. Dr. Mandal has published several research articles in reputed journals and presented his work at international conferences, supported by multiple travel grants. His ongoing research explores advanced symmetry methods, computational approaches for complex nonlinear mathematical models.

  • Ph.D. in Applied Mathematics, Indian Institute of Technology Jodhpur.
  • M.Sc. in Applied Mathematics, Vidyasagar University, West Bengal.
  • B.Sc. in Mathematics, Midnapore Autonomous College, West Bengal.

  • Assistant Professor, Adani University, (June 2025 till present).

  • Advanced Symmetry Analysis and Computational Approaches to Nonlinear Mathematical Models.

  1. S. Mandal, and S. Ghosh. Lie-group method solutions for a viscous flow in a dilating-squeezing permeable channel with velocity slip. Physics of Fluids 35, no. 4 (2023).
  2. S. Mandal, S. Sil, and S. Ghosh. Lie symmetries and optimal classifications with certain modal approaches for the three-dimensional gas-dynamical equations. Chaos, Solitons & Fractals 181 (2024): 114672.
  3. S. Mandal, S. Sil, and S. Ghosh. On the Lie symmetry analysis of three-dimensional perturbed shear flows. Chaos, Solitons &Fractals 191 (2025): 115875.
  4. S. Mandal, and S. Ghosh. Modelling and nonclassical symmetry analysis of a complex porous media flow in a dilating channel. Physica D: Nonlinear Phenomena 481 (2025): 134834.
  5. S. Mandal, and S. Ghosh. Lie symmetry analysis, optimal classification and some new kind of exact solutions for Darcy Brinkman model. Zeitschrift f¨ur angewandte Mathematik und Physik (ZAMP), 77 (2026): 32.
  6. S. Mandal and S. Ghosh. Symmetries, conservation laws, nonlocally related system and exact solutions for two-dimensional thin viscous sheets. (Under Review)
  7. S. Mandal, S. Ghosh, and A. Shevyakov. The study of a uniform cross-flow induced porous media flow model using approximate and nonclassical symmetry analysis. (Under Review)
  8. S. Mandal and S. Ghosh. Conservation laws, a new class of group invariant solutions, and its applications for the Whitham Broer–Kaup model. (Under Review)

  1. Presented a paper entitled “Application of Lie group method to solve a viscous flow in a dilating-squeezing channel with permeable walls,” Recent advances in Mathematical Analysis and Applications (NCAPM-RAMAA-2022), IIT BHU.
  2. Presented a paper entitled “Linear Perturbation Analysis of Three-Dimensional Shear Flows using Lie Symmetries,” International Conference on Recent Advances in Fluid Mechanics and Nanoelectronics (ICRAFMN-2023), MIT Bangalore.
  3. Presented a paper entitled “Lie Symmetry Analysis of a cross-flow induced porous media flow in a weakly permeable channel,” 76thAnnual Meeting of the Division of Fluid Dynamics (APS DFD-2023), Walter E. Washington Convention Center, USA.
  4. Presented a paper entitled “Nonclassical Symmetry Analysis to Find out Analytical Solution of a Porous Media Flow Model,” International Conference on Scientific Computation and Differential Equations, July 2024, National University of Singapore.

  • 2025: Received the CSIR Travel Grant to attend the conference “APS Global Physics Summit-2025 March Meeting,” Anaheim, CA.
  • 2024: Received the SERB ITS Travel Grant to attend the “International Conference on Scientific Computation and Differential Equations,” July 2024, National University of Singapore 2023.
  • Qualified Joint CSIR-UGC Net with JRF and GATE, in Mathematics.