Postdoctoral Researcher
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| My primary field of expertise is in the controllability of Partial Differential Equations, mainly in parabolic equations from a theoretical point of view. I am also interested in the numerics of the Control Theory and in understanding Fluid Dynamics. | |||||
Jon Asier Bárcena Petisco holds a Postdoctoral position from Universidad Autónoma de Madrid at the ERC Advanced Grant project DyCon under the supervision of Prof. Enrique Zuazua. He earned his PhD at the Laboratoire Jacques-Louis Lions, Sorbonne Université. He did his master studies in that university, and his undergraduate studies in the University of the Basque Country UPV/EHU.
- PhD in Mathematics (2017-2020). Laboratoire Jacques-Louis Lions, Sorbonne Université
- MSc in Mathematics (2015 - 2017). Université Pierre et Marie Curie, Sorbonne Université
- BSc in Mathematics (2012 - 2016). University of Basque Country UPV/EHU, Spain
Released
Averaged dynamics and control for heat equations with random diffusion
Local null controllability of a model system for strong interaction between internal solitary waves
Submitted
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
Control of Hyperbolic and Parabolic Equations on Networks and Singular limits
Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term
Previous publications
-Bárcena-Petisco J.A., Null controllability of a penalized Stokes problem in dimension two with one scalar control. Asymptot. Anal. Vol. 117, No. 3-4 pp. 161–198 (2020), DOI 10.3233/ASY-191550
-Bárcena-Petisco J.A., Uniform Controllability of a Stokes Problem with a Transport Term in the Zero-Diffusion Limit, SIAM J. Control Optim., Vol. 58, No. 3, pp.1597–1625 (2020) https://doi.org/10.1137/19M1252004
-Bárcena-Petisco J.A., Null controllability of the heat equation in pseudo-cylinders by an internal control, ESAIM: COCV (2020) https://dx.doi.org/10.1051/cocv/2020048
-Bárcena-Petisco J.A., Guerrero S., Pazoto A., Local null controllability of a model system for strong interaction between internal solitary waves (2020)
-Bárcena-Petisco J.A., Le Balc'H, K. Local null controllability of the penalized Boussinesq system with a reduced number of controls (2020)
- 09.02.2021 "Cost of null controllability for parabolic equations with vanishing viscosity and a transport term", Jornada de Primavera en EDPs" (Zoom)
- 10.11.2020 "Averaged dynamics and control for heat equations with random diffusion", Control in times of Crisis seminar (Youtube streaming)
- 09.06.2020 "Some recent results about the controllability of the heat equation", FAU – Friedrich Alexander Universität, Erlangen-Nürnberg (Zoom)
- 19.08.2019 "Null controllability of a penalized Stokes problem in dimension two with one scalar control", VIII Partial Differential Equations, Optimal Design and Numerics”, Benasque (Spain)
- 16.07.2019 "Null controllability of a penalized Stokes problem in dimension two with one scalar control", ICIAM, Valencia (Spain)
- 04.02.2019 "Null controllability of a penalized Stokes problem in dimension two with one scalar control", “Spanish Royal Mathematical Society Biannual Congress”, Santander (Spain)