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math.AP2020
Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Tania Biswas, Elisabetta Rocca
We consider a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects which is introduced in [2]. It is comprised of phase-field equation t…
math.AP2018
On the Stationary Nonlocal Cahn-Hilliard-Navier-Stokes System: Existence, Uniqueness and Exponential Stability
Tania Biswas, Sheetal Dharmatti, P L N Mahendranath +1
Cahn-Hilliard-Navier-Stokes system describes the evolution of two isothermal, incompressible, immiscible fluids in a bounded domain. In this work, we consider the stationary nonloc…
math.AP2018
Maximum Principle and Data Assimilation Problem for the Optimal Control Problems Governed by 2D Nonlocal Cahn-Hillard-Navier-Stokes Equations
Tania Biswas, Sheetal Dharmatti, Manil T Mohan
We study some optimal control problems associated to the evolution of two isothermal, incompressible, immisible fluids in a two-dimensional bounded domain. The Cahn- Hilliard-Navie…