Tania Biswas
Welcome to my webpage! I am Tania Biswas, a postdoctoral researcher at Department of Mathematical Sciences, Ulsan National Institute of Science & Technology (UNIST), South Korea since Jan 2023. I am a member of UNIST PDE Group. I have obtained my Ph.D. from Indian Institute of Science Education and Research (IISER), Thiruvananthapuram, India under the supervision of Sheetal Dharmatti in 2020. Later, I spent a year with Elisabetta Rocca at University of Pavia, Italy and a year with Min Gi Lee at Kyungpook National University, South Korea. Please find my cv for more details.
Research Interest
My reserach interest in analysis of partial differential equation and control theory. In particular, I am interested in studying well-posedness, long time behavious and various control problems, such as, optimal control, stabilization, controllability issues related to nonlinear pde's arising in fluid dynamics and biology. The mathematical models that I have been working on are diffuse interface models, Cahn-Hilliard-Navier-Stokes equations, Tumor growth Models etc. For more details about my research interest and publications, please refer my google scolar, mathscinet, researchgate website.
Publications and Preprints
Manika Bag, Tania Biswas, Sheetal Dharmatti, Optimal boundary control for the Cahn Hilliard Navier Stokes Equations, submitted, arXiv:2305.02501
Manika Bag, Tania Biswas, Sheetal Dharmatti, Cahn-Hilliard-Navier-Stokes equations with Nonhomogeneous Boundary: Existence, Uniqueness, Regularity, submitted, arXiv:2206.15040.
Tania Biswas, Sheetal Dharmatti, Interior and H1 Feedback Stabilization for Sabra Shell Model of Turbulence, Math Meth Appl Sci., 46(2) (2023), 1852-1883.
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.
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).
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.
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.
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).
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.
Work in Progress
Manika Bag, Tania Biswas, Sheetal Dharmatti, Long time dynamics of Cahn-Hilliard-Navier-Stokes equations with Nonhomogeneous Boundary.
Tania Biswas, Optimal control of a diffuse interface model of tumor growth with state constraint.