6 papers
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…
Global controllability of the Cahn-Hilliard equation
VÃctor Hernández-SantamarÃa, Subrata Majumdar, Luz de Teresa
This paper investigates the global controllability properties of the Cahn--Hilliard equation posed on the -dimensional flat torus . We first establish small-time g…
Small-time global controllability of a class of bilinear fourth-order parabolic equations
Subrata Majumdar, Debanjit Mondal
In this work, we address the small-time global controllability properties of a class of fourth-order nonlinear parabolic equations driven by bilinear controls posed on the one-dime…
On the controllability of the Kuramoto-Sivashinsky equation on multi-dimensional cylindrical domains
VÃctor Hernández-SantamarÃa, Subrata Majumdar
In this article, we investigate null controllability of the Kuramoto-Sivashinsky (KS) equation on a cylindrical domain in , where $a…
Boundary null controllability of a class of 2-d degenerate parabolic PDEs
VÃctor Hernández-SantamarÃa, Subrata Majumdar, Luz de Teresa
This article deals with the boundary null controllability of some degenerate parabolic equations posed on a square domain, presenting the first study of boundary controllability fo…
Event-triggered boundary control of the linearized FitzHugh-Nagumo equation
VÃctor Hernández-SantamarÃa, Subrata Majumdar, Luz de Teresa
In this paper, we address the exponential stabilization of the linearized FitzHugh-Nagumo system using an event-triggered boundary control strategy. Employing the backstepping meth…