PhD Student
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.

Domènec Ruiz-Balet is a PhD Student at Universidad Autónoma de Madrid (UAM). 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). Currently, he is studying for his PhD in Control Theory, under the supervision of Prof. Enrique Zuazua (FAUUniversity of Deusto and Universidad Autónoma de Madrid).

  • 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

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. Journal de Mathématiques pures et appliqué, ...
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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

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Submitted

Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models

Mazari I., Ruiz-Balet D., Zuazua E.. Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models. (2019) ⟨hal-02373668⟩ Abstract ...
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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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Control of certain parabolic models from biology and social sciences

D. Ruiz-Balet, E. Zuazua. Control of certain parabolic models from biology and social sciences (2020) Abstract. These lecture notes address ...
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coming soon!

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