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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.OC2025

Optimal Control of a Higher-Order Cahn-Hilliard Equation Coupled with Brinkman Equation

Manika Bag

In this work, we investigate optimal control of a Brinkman equation couple with sixth-order Cahn-Hilliard equation. The Cahn-Hilliard equation is endowed with a source term account…

math.OC2025

Boundary Stabilizability of Generalized Burgers-Huxley Equation with Memory

Manika Bag, Wasim Akram, Manil T. Mohan

In this paper, we study a generalized Burgers-Huxley equation with memory, subject to nonhomogeneous Dirichlet boundary conditions. We construct a linear, finite-dimensional Dirich…

math.OC2025

Feedback Stabilizability of a generalized Burgers-Huxley equation with kernel around a non-constant steady state

Wasim Akram, Manika Bag, Manil T. Mohan

In this article, we investigate a generalized Burgers-Huxley equation with a smooth kernel defined in a bounded domain , , focusing on feedbac…

math.OC2024

Optimal boundary control for the Cahn-Hilliard-Navier-Stokes Equations

Manika Bag, Tania Biswas, Sheetal Dharmatti

In this work, we study an optimal boundary control problem for a Cahn - Hilliard -Navier-Stokes (CHNS) system in a two dimensional bounded domain. The CHNS system consists of a Nav…