activity
20242026
collaborators

5 papers

math.OC2026

Pointwise Tracking Optimal Control Problem for Cahn Hilliard Navier Stokes system

Sheetal Dharmatti, Greeshma K

We study a pointwise tracking optimal control problem for the two-dimensional local Cahn Hilliard Navier Stokes system, which models the evolution of two immiscible, incompressible…

math.OC2026

Local controllability of the Cahn-Hilliard-Burgers' equation around certain steady states

Manika Bag, Sheetal Dharmatti, Subrata Majumdar +1

In this article we study the local controllability of the one-dimensional Cahn-Hilliard-Navier-Stokes equation, that is Cahn-Hilliard-Burgers' equation, around a certain steady sta…

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…