Books/ Book Chapters:

     1. A course in Lesbegue Measure and Integration,  S Kumaresan and Dharmatti Sheetal, Techno World Publishers, 2026

Research Articles:

1. Manika Bag,Tania Biswas and Sheetal Dharmatti,   On  Cahn Hilliard Navier Stokes Equations: non homogeneous Boundary,  Journal of Elliptic and Parabolic Equations, Accepted June  2026 
2. Sheetal Dharmatti and P L N Mahendranath,  Viscosity Solutions for local Cahn Hilliard Navier Stokes' equations;  ESAIM: Control, Optimisation and Calculus of Variations, Accepted  June 2026
3. Manika Bag, Sheetal Dharmatti and Manil T Mohan  Energy Equality for Coupled Cahn Hilliard  Forchheimer system in dimension 3, Analysis and Applications,  Accepted December 2025
4. Manika Bag,Tania Biswas and Sheetal Dharmatti   Optimal Boundary Control for  Cahn Hilliard Navier Stokes Equations,  Mathematical Control and Related Fields,  Accepted December 2025
5. Sheetal Dharmatti and Nandkishor K, Optimal Control of Pandemic Dynamics As a Hybrid Systems,  European Journal of Control Paper No. 100942, 10 pp., 2024
6. Tania Biswas and Sheetal Dharmatti, Feedback and H^ infinity stabilization for Sabra Shell Model of Turbulence, Mathematical Methods in the Applied Sciences 46 (2), 1852-1883,  2023
7. Tania Biswas, Sheetal Dharmatti, P L N Mahendranath and Manil T Mohan, On the Stationary Nonlocal Cahn Hilliard Navier Stokes System: Existence,Uniqueness and Exponential Stabilization, Asymptotic Analysis 125, 59–99, 2021

8. Sheetal Dharmatti and P L N Mahendranath, Nonlocal Cahn-Hilliard-Brinkman System with regular potential: Regularity and Optimal Control,  Journal of Control and Dynamical Systems, 21 no 2, 221-246, 2021  

9. Tania Biswas, Sheetal Dharmatti and Manil T Mohan, Second Order Optimality Conditions for Optimal Control Problems Governed by 2D Nonlocal Cahn Hilliard Navier Stokes Equation,   Nonlinear Studies, 28, no 1, 29-43, 2021

10.  Prashant Athavale, Soumyabrata Dey, Sheetal Dharmatti and Aiswarya Sara Mathew, A novel entropy-based texture inpainting algorithm, Signal, Image and Video processing, 2021 

11.  Tania Biswas, Sheetal Dharmatti and Manil T Mohan,  Pontryagin's Maximum principle for Optimal Control of the Nonlocal Cahn Hilliard System in Two Dimesions,  Analysis, 40, no 3,  127- 150, 2020 

12.  Tania Biswas, Sheetal Dharmatti and Manil T Mohan, Maximum Principle for some Optimal Control Problems for 2D non local Cahn Hilliard Equations, Journal of Mathematical Fluid Mechanics, 22 no 3 Paper no 34 2020 

13.  Tania Biswas and Sheetal Dharmatti, Control Problem and Invariant Subspaces for Sabra Shell Model of Turbulence, Evolution Equations and Control Theory, 7 no 3, 2018 pp 417-445 

14. Sheetal Dharmatti, Viscosity solutions of Hybrid Game Problem with unbounded Cost Functionals, International Game Theory Review, Vol 18, issue 1, 2016

15. Sheetal Dharmatti, Mathematics behind image processing, Proceedings of International conference on Mathematics education and mathematics in engineering and technology, 2014 [ Expository article]

16. Sheetal Dharmatti, J. P. Raymond and Latitia Thevenet, H infinity feedback boundary stabilization of two dimensional Navier-Stokes Equations ,  SIAM journal on control and optimization, Vol 39, no 6, 2013, pp 2318-2348

17. G. Barles, Sheetal Dharmatti and Mythily Ramaswamy, Unbounded Viscosity Solutions of Hybrid control Problem , ESAIM: Control, Optimization and Caculus of Variations, Vol 16 no 1, 2010, pp 176-193

18. M. K. Ghosh, K. S. Mallikarjun Rao and Sheetal Dharmatti, Differential Game of Mixed Type with Continuous Control and Stopping Times , Nonlinear Differential Equations and Analysis (NODEA), Vol 16, no 2, 2009, pp 143-158

19. A. J. Shaiju and Sheetal Dharmatti, Infinite Dimensional Differential Games with Hybrid Controls, Journal of Indian Academy of Sciences (Mathematical science), Vol 117, No.2, May 2007, pp 233-257

20. Sheetal Dharmatti and Mythily Ramaswamy, Uniqueness of Unbounded Viscosity Solutions of Impulse Control Problem, Journal of Mathematical Analysis and Application, Vol. 135, issue 2, 2006, pp 686-710

21. Sheetal Dharmatti and Mythily Ramaswamy, Zero Sum Differential Games Involving Hybrid Controls, Journal of Optimization Theory and Application, Vol. 128, No.1, 2006, pp 75-102

22. Sheetal Dharmatti and Mythily Ramaswamy, Hybrid Control System and Viscosity Solutions, SIAM journal of Control and Optimization, Vol. 44, No.4, 2005, pp 1259-1288

23. A. J. Shaiju and Sheetal Dharmatti, Differential Games with Continuous, Switching and Impulse Controls, Nonlinear Analysis, Theory, Methods and Application, Vol. 63, No.1, 2005, pp 23-41