Tania Biswas

 My reserach interest in analysis of pde and control theory. In particular, I am interested in studying well-posedness, regularity of solution, long time behavior and various control problems, such as, optimal control, stabilization, controllability issues related to nonlinear pde's. The models that I have been working on are diffuse interface models, Cahn-Hilliard-Navier-Stokes equations, Tumor growth Models etc. Recently, I have started working on fluid-structure interaction problems. For more details about my research interest and publications, please refer my google scolar, mathscinet websites.

1.  Manika Bag, Tania Biswas, Sheetal Dharmatti, Optimal boundary control for the Cahn Hilliard Navier Stokes Equations, submitted, arXiv:2305.02501

2. Manika Bag, Tania Biswas, Sheetal Dharmatti, On the Cahn-Hilliard-Navier-Stokes Equations with Nonhomogeneous Boundary, submitted, arXiv:2206.15040.

3. Tania Biswas, Sheetal Dharmatti, Interior and H-infinity Feedback Stabilization for Sabra Shell Model of Turbulence, Math Meth Appl Sci., 46(2) (2023), 1852-1883.

4. Tania Biswas, Elisabetta Rocca, Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects, Discrete & Continuous Dynamical Systems - B, 27(5) (2022), 2455-2469.

5. Tania Biswas, Sheetal Dharmatti, Manil T Mohan, Second Order Necessary and Sufficient Condition of Optimality for Optimal Control Problems Governed by 2D Nonlocal Cahn-Hilliard-Navier-Stokes equations, Nonlinear Studies, 28(1) (2021).

6. Tania Biswas, Sheetal Dharmatti, Manil T Mohan, P L N Mahendranath, On the Stationary Nonlocal Cahn-Hilliard-Navier-Stokes System: Existence, Uniqueness and Exponential Stability, Asymptotic Analysis, 125 (2021), 59-99.

7. Tania Biswas, Sheetal Dharmatti, Manil T Mohan, Pontryagin Maximum Principle and Second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn-Hillard-Navier-Stokes equations, Analysis (Berlin), 40(3) (2020), 127-150.

8. Tania Biswas, Sheetal Dharmatti, Manil T Mohan, Maximum Principle and Data Assimilation Problem for the Optimal Control Problems governed by   2D Nonlocal Cahn-Hilliard-Navier-Stokes equations, Journal of Mathematical Fluid Mechanics, 22(34) (2020).

9. Tania Biswas, Sheetal Dharmatti, Control Problems and Invariant Subspaces For Sabra Shell Model of Turbulence, Evolution Equation and Control Theory, 7(3) (2018), 417-445.