most citedLocal null controllability of a quasi-linear system and related numerical experiments

8 citations · 8 across the 1 of their papers we have counts for

collaborators

7 papers

math.OC20268 cited

Local null controllability of a quasi-linear system and related numerical experiments

Enrique Fernández-Cara, Juan Límaco, Yuri Thamsten +1

This paper concerns the null control of quasi-linear parabolic systems where the diffusion coefficient depends on the gradient of the state variable. In our main theoretical result…

math.OC2026

Studies on the Rao-Nakra Sandwich Beam: Well-Posedness, Dynamics, and Controllability

George J. Bautista, Roberto de A. Capistrano-Filho, Boumediene Chentouf +2

In this work, we investigate the well-posedness, stabilization, and boundary controllability of a linear Rao-Nakra type sandwich beam. The system consists of three coupled equation…

math.AP2026

Local null controllability of the complete N-dimensional Ladyzhenskaya-Boussinesq model

João Carlos Barreira, Juan Límaco

This work investigates both local null controllability and large time null controllability for a class of complete Ladyzhenskaya Boussinesq systems, where the controls are distribu…

math.AP2025

Existence, Stability and Controllability of the parabolic-parabolic thermistor model

Miguel R. Nuñez-Chávez, Luis P. Yapu, Juan Límaco

In this article we establish the well-posedness, energy estimates, stability, and local null controllability for the thermistor system modeled by a parabolic-parabolic system using…

math.AP2025

Local controllability of free boundary three-dimensional semilinear radial parabolic equations

Juan Límaco, Luis P. Yapu

We prove that a free boundary semilinear heat equation with Stefan boundary condition and radially symmetric data is locally null controllable. The strategy involves reducing the p…

math.OC2025

Hierarchical null controllability of a degenerate parabolic equation with nonlocal coefficient

Juan Límaco, João Carlos Barreira, Suerlan Silva +1

In this paper we use a Stackelberg-Nash strategy to show the local null controllability of a parabolic equation where the diffusion coefficient is the product of a degenerate funct…