Solute Transporation phenomena in Newtonian and various non-Newtonian fluids, Moving boundary problems, Stabilized Finite Element Methods, Finite difference methods, Stability and convergence analysis, A priori and A posteriori error estimates, Gradient flow based models, Existence and uniqueness of continuous and discrete solutions.

• Manisha Chowdhury, B.V. Rathish Kumar; On subgrid multiscale stabilized finite element method for advection-diffusion-reaction equation with variable coefficients, Applied Numerical Mathematics, 150, 576-586, 2020.
• B.V. Rathish Kumar, Manisha Chowdhury; Variational multiscale stabilized finite element analysis of non-Newtonian Casson fluid flow model fully coupled with Transport equation with variable diffusion coefficients, Computer Methods in Applied Mechanics and Engineering, 388, 114272, 2022.
• Manisha Chowdhury, B.V. Rathish Kumar; Study of unsteady non-Newtonian fluid flow behavior in a two-sided lid-driven cavity at different aspect ratios, Journal of Non-Newtonian Fluid Mechanics, 312, 104975, 2023.
• B.V. Rathish Kumar, Manisha Chowdhury; Multiscale Stabilized Finite Element Computation of the Non-Newtonian Casson Fluid Flowing in Double Lid-driven Rectangular Cavities, Computers and Mathematics with Applications, 143, 57-72, 2023.
• Manisha Chowdhury, B.V. Rathish Kumar; Simplified Subgrid multiscale stabilized finite element method in the transient framework for Stokes equations, Journal of Computational and Applied Mathematics, 423, 114956, 2023.
• B.V. Rathish Kumar, Manisha Chowdhury; Time dependent Subgrid multiscale stabilized finite element analysis of fully coupled transient Navier-Stokes-Transport model, Numerical Methods for Partial Differential Equations, 39, 2163-2201, 2023.

2015-2022, Indian Institute of Technology Kanpur, Mathematics, Ph.D., Adviser: Prof. B.V. Rathish Kumar.

2012-2014, Indian Institute of Technology Kanpur, Mathematics, M.Sc.

2009-2012, Lady Brabourne College, Calcutta University, Mathematics (Hons.), B.Sc.

• INSPIRE (SHE) Scholarship, funded by Department of Science and Technology, Ministry of Science and Technology, Government of India, from 2009 to 2014.
• INSPIRE Fellowship funded by Department of Science and Technology, Ministry of Science and Technology, Government of India, for pursuing Ph.D.
• Indian Mathematical Society (Group-4) Best Paper Award, 2020 at the 86th Annual Conference of the Indian Mathematical Society.
• Position among top 1% in Higher Secondary School leaving examination in the whole state.