5 papers
Boundary null controllability of a class of 2-d degenerate parabolic PDEs
Víctor Hernández-Santamaría, 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
Víctor Hernández-Santamaría, 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…
Controllability issues for parabolic-elliptic systems involving nonlocal couplings
Kuntal Bhandari, Víctor Hernández-Santamaría
This work addresses controllability properties for some systems of partial differential equations in which the main feature is the coupling through nonlocal integral terms. In the…
Controllability of some semilinear shadow reaction-diffusion systems
Víctor Hernández-Santamaría, Alberto Peña-García
The shadow limit is a versatile tool used to study the reduction of reaction-diffusion systems into simpler PDE-ODE models by letting one of the diffusion coefficients tend to infi…
Insensitizing control problems for the stabilized Kuramoto-Sivashinsky system
Kuntal Bhandari, Víctor Hernández-Santamaría
In this work, we address the existence of insensitizing controls for a nonlinear coupled system of fourth- and second-order parabolic equations known as the stabilized Kuramoto-Siv…