Postdoctoral Researcher
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

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 ...
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Submitted

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 ...
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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 ...
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Control of Hyperbolic and Parabolic Equations on Networks and Singular limits

J.A. Bárcena-Petisco, M. Cavalcante, G.M. Coclite, N. de Nitti, Enrique Zuazua. Control of Hyperbolic and Parabolic Equations on Networks and Singular ...
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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) Abstract. This paper deals with ...
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Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term

Bárcena-Petisco J.A., Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term (2020). HAL Id: hal-02455632 ...
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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)
2017-2020 Moniteur at Sorbonne University (191h)
 
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