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math.AP2025
Separation Property for the Nonlocal Cahn Hilliard Brinkman System with Singular Potential and Degenerate Mobility
Sheetal Dharmatti, Greeshma K
This work studies the nonlocal Cahn Hilliard Brinkman system, which models the phase separation of a binary fluid in a bounded domain and porous media. We focus on a system with a…
math.AP2024
Regularity and Optimal Control of Non Local Cahn Hilliard Brinkman system with Singular Potential
Sheetal Dharmatti, Greeshma K
The evolution of two incompressible, immiscible, isothermal fluids in a bounded domain and a porous media is described by the coupled Cahn-Hilliard-Brinkman (CHB) system. The CHB s…
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…