Associated Researcher

My interests are in the control of models coming from biology and social sciences. I worked in Collective behavior and currently my research is focused on in controllability of parabolic equations under constraints coming from the application.
PhD Defense (Feb 23rd, 2022)

Domènec Ruiz-Balet is a Postdoctoral Researcher at Imperial College London. He earned the Bachelor’s Degrees on Mathematics and Physics at Universitat Autònoma de Barcelona (UAB) and the Master’s Degree in Applied Mathematics in an Erasmus Mundus program at University of L’Aquila (UAQ) and University of Hamburg (UH). He got his PhD in Control Theory under the supervision of Prof. Enrique Zuazua (FAUUniversity of Deusto and Universidad Autónoma de Madrid).

PhD thesis -slides (February 23rd, 2022)

  • Master degree in Applied Mathematics (Erasmus Mundus Program) (2015-2017). University of L’Aquila, L’Aquila, Italy
  • Semester in Numerical Analysis (2016). University of Hamburg, Hamburg, Germany.
  • Bachelor’s Degree in Mathematics (2010-2015). Universitat Autònoma de Barcelona, Cerdanyola del Vallès, Barcelona, Spain
  • Bachelor’s Degree in Physics (2010-2015). Universitat Autònoma de Barcelona, Cerdanyola del Vallès, Barcelona, Spain

Master’s Thesis. “Asymptotic Analysis and Control of Kinetic Cucker-Smale Models”

Description. In this Master’s Thesis, some results related to Cucker-Smale models are presented together with the asymptotic analysis for flocking, from the discrete Cucker-Smale model towards the kinetic version of it. The existence and uniqueness of measure valued solutions is also shown. Furthermore, a discussion about the control of the kinetic Cucker-Smale model for reaching flocking and a discussion about a delayed Cucker-Smale model is presented.

Released

Interpolation and approximation via Momentum ResNets and Neural ODEs

Domènec Ruiz-Balet, Elisa Affili , Enrique Zuazua. Interpolation and approximation via Momentum ResNets and Neural ODEs IEEE Control Syst. Lett ...
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Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations

Ruiz-Balet D., Zuazua E.. Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. J. Math. Pures Appl, vol. 143, ...
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A parabolic approach to the control of opinion spreading

D. Ruiz-Balet, E. Zuazua A parabolic approach to the control of opinion spreading. In: Berezovski A., Soomere T. (eds) Applied ...
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Accepted

Control of reaction-diffusion models in biology and social sciences

Domènec Ruiz-Balet, Enrique Zuazua. Control of reaction-diffusion models in biology and social sciences (2022) Math. Control Relat. Fields Abstract. These lecture ...
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Constrained control of gene-flow models

Mazari I., Ruiz-Balet D., Zuazua E.. Constrained control of gene-flow models. (2021) Ann. Inst. Henri Poincare (C) Anal. Non Lineaire ...
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Submitted

Control of certain parabolic models from biology and social sciences

Domènec Ruiz-Balet, , Enrique Zuazua. Control of certain parabolic models from biology and social sciences (2021) Abstract. These lecture notes ...
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Neural ODE Control for Classification, Approximation and Transport

Ruiz-Balet D., Zuazua E. Neural ODE Control for Classification, Approximation and Transport (2021) Abstract. We analyze Neural Ordinary Differential Equations ...
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A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models

I. Mazari, D. Ruiz-Balet. A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in ...
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