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math.AP2025
On Cahn-Hilliard-Navier-Stokes equations with Nonhomogeneous Boundary
Manika Bag, Tania Biswas, Sheetal Dharmatti
The evolution of two isothermal, incompressible, immiscible fluids in a bounded domain is governed by Cahn-Hilliard-Navier-Stokes equations (CHNS System). In this work, we study th…
math.AP2025
Stabilizability of 2D and 3D Navier-Stokes equations with memory around a non-constant steady state
Wasim Akram, Manika Bag, Manil T. Mohan
In this article, we investigate the stabilizability of the two- and three-dimensional Navier-Stokes equations with memory effects around a non-constant steady state using a localiz…
math.AP2024
Well-posedness of three-dimensional Damped Cahn-Hilliard-Navier-Stokes Equations
Manika Bag, Sheetal Dharmatti, Manil T Mohan
This paper presents a mathematical analysis of the evolution of a mixture of two incompressible, isothermal fluids flowing through a porous medium in a three dimensional bounded do…