Dr. Sougata Mandal

Designation: Assistant Professor

Academic Area: Mathematics

Brief Profile:

I completed my Ph.D. in Applied Mathematics from the Department of Mathematics, Indian Institute of Technology (IIT) Jodhpur, under the supervision of Dr. Sukhendu Ghosh. My research primarily focuses on Local and Nonlocal Symmetry Analysis of complex nonlinear differential equations.

During my Ph.D., I applied symmetry analysis techniques to a wide range of nonlinear fluid flow problems, including both general and boundary value problems. The central objective of my research is to reduce the complexity of nonlinear systems by employing similarity transformations derived from the symmetries of the governing equations. The resulting reduced systems are then solved either analytically or numerically, enabling a deeper understanding of the dynamics of the original system.

My research has led to several publications in reputed international journals such as Physics of Fluids and Chaos, Solitons & Fractals. I have also presented my work at various national and international conferences, both in India and abroad.

I received the CSIR Travel Grant (2025) to attend the APS Global Physics Summit – March Meeting 2025 in Anaheim, California, and the SERB International Travel Support (ITS) Grant to attend the SciCADE 2024 conference at the National University of Singapore. Additionally, my abstract was accepted for an oral presentation at the prestigious APS Division of Fluid Dynamics (DFD) 2024 conference, which is renowned in the field of fluid mechanics.

Looking ahead, I aim to extend the scope of nonlocal symmetry analysis to tackle a broader class of mathematical boundary value problems, particularly those that are challenging to solve using conventional analytical or numerical methods.


  • I completed my Ph.D. from the Indian Institute of Technology Jodhpur in the field of Symmetry Analysis on Differential Equations, under the supervision of Dr. Sukhendu Ghosh. The title of my thesis is “Local and Nonlocal Symmetry Analysis on Complex Flow Problems.”
  • In addition to my doctoral studies, I hold an M.Sc. degree in Applied Mathematics from Vidyasagar University, West Bengal, and a B.Sc. degree in Mathematics from Midnapore Autonomous College.

During my Ph.D., I served as a Teaching Assistant, where I had the opportunity to teach and assist in various undergraduate and postgraduate courses. The subjects I was involved with include Introduction to Mathematical Modelling, Scientific Computing, Mathematics-I (Real Analysis, Calculus), Mathematics- II (Linear Algebra, Differential Equations), Dynamical Systems, and Complex Analysis. This experience greatly enhanced my teaching skills and allowed me to engage with students across diverse mathematical topics.

I am currently working as an Assistant Professor in the Department of Mathematics at Adani University, Ahmedabad, Gujarat. Prior to this, I was a Ph.D. scholar in the Department of Mathematics at the Indian Institute of Technology (IIT) Jodhpur.

  • I was awarded the CSIR Travel Grant (2025) to attend the APS Global Physics Summit – March Meeting 2025 held in Anaheim, California, USA.
  • I also received the SERB International Travel Support (ITS) Grant to participate in SciCADE 2024, hosted by the National University of Singapore.
  • I am also honored to have been selected for the KVRSS Research Award for the academic year 2023–2024.
  • I qualified for the GATE examination in Mathematics and the CSIR-UGC NET with a Junior Research Fellowship (JRF) in Mathematical Sciences in 2019.

Symmetry Analysis on Differential Equations

  • 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).
  • 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.
  • S. Mandal, S. Sil, and S. Ghosh. On the Lie symmetry analysis of three-dimensional perturbed shear flows. Chaos, Solitons & Fractals 191 (2025): 115875.
  • S. Mandal and S. Ghosh. Nonclassical symmetry analysis of a flow in a dilating- squeezing permeable channel filled with porous material. (Under Review)
  • S. Mandal, S. Sil, and S. Ghosh. Lie symmetry analysis, two-dimensional optimal classification and exact solutions of Darcy-Brinkman equations. (Communicated)
  • S. Mandal and S. Ghosh. Symmetries, conservation laws, nonlocally related systems, and exact solutions for two-dimensional thin viscous sheets. (Communicated)

  • Nonlocal Symmetry Analysis on Complex Nonlinear Boundary Value Problems
  • Implement numerical methods to solve nonlinear differential equations.