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math.AP2026
Local null controllability of the complete N-dimensional Ladyzhenskaya-Boussinesq model
João Carlos Barreira, Juan LÃmaco
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 LÃmaco
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 LÃmaco, 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…