Jon Asier Barcena – cmc.deusto.eus

Control of Hyperbolic and Parabolic Equations on Networks and Singular limits

advection-diffusion equations, Controllability, cost of controllability, network, singular limits, vanishing viscosity

J.A. Bárcena-Petisco, M. Cavalcante, G.M. Coclite, N. de Nitti, E. Zuazua (2025) Control of Hyperbolic and Parabolic Equations on Networks and Singular limits, MCRF, Vol. 15, No. 1, March 2025,…

Tracking controllability for the heat equation

J.A. Barcena-Petisco, E. Zuazua (2025) Tracking controllability for the heat equation, IEEE Trans. Autom. Control Abstract. We study the tracking or sidewise control- lability of the heat equation. More precisely,…

Averaged dynamics and control for heat equations with random diffusion

Bárcena J.A., Zuazua E.. Averaged dynamics and control for heat equations with random diffusion (2021) Syst. Control. Lett. Vol. 158. https://doi.org/10.1016/j.sysconle.2021.105055 Abstract. This paper deals with the averaged dynamics for…

Optimal control for neural ODE in a long time horizon and applications to the classification and simultaneous controllability problems

Jon Asier Bárcena-Petisco. Optimal control for neural ODE in a long time horizon and applications to the classification (2021) Abstract. We study the optimal control in a long time horizon…

Local null controllability of the penalized Boussinesq system with a reduced number of controls

J.A. Bárcena-Petisco, Kevin Le Balc'H. Local null controllability of the penalized Boussinesq system with a reduced number of controls (2021) Abstract. In this paper we consider the Boussinesq system with homogeneous…

Local null controllability of a model system for strong interaction between internal solitary waves

Jon Asier Bárcena-Petisco, Sergio Guerrero and Ademir F. Pazoto. Local null controllability of a model system for strong interaction between internal solitary waves. Commun. Contemp. Math. (2021) https://doi.org/10.1142/S0219199721500036 Abstract. In…

Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term

heat equation, singular limits, spectral decomposition, transport equation, uniform controllability

Bárcena-Petisco J.A., Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term (2020). HAL Id: hal-02455632 Abstract. In this paper we consider the heat equation with…

Control of Hyperbolic and Parabolic Equations on Networks and Singular limits

Tracking controllability for the heat equation

Averaged dynamics and control for heat equations with random diffusion

Optimal control for neural ODE in a long time horizon and applications to the classification and simultaneous controllability problems

Local null controllability of the penalized Boussinesq system with a reduced number of controls

Local null controllability of a model system for strong interaction between internal solitary waves

Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term

Turnpike in optimal control and beyond: a survey

Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach

Pointwise constraints for scalar conservation laws with positive wave velocity

Gaussian Beam ansatz for finite difference wave equations

Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics