Borjan Geshkovski is a PhD Student at Universidad Autónoma de Madrid (UAM). He earned a MSc in Mathematics at the University of Bordeaux, during which he did an internship on the topic “Obstacle problems: theory and Applications” within the DyCon team.
Currently, he is studying for a PhD in Control Theory under the supervision of Prof. Enrique Zuazua (FAU, University of Deusto and Universidad Autónoma de Madrid).
- MSc in Applied Mathematics (2016 – 2018). Université de Bordeaux, France
- BSc in Applied Mathematics and Computer Science (2012 – 2016). Université de Bordeaux, France
Master’s Thesis. Obstacle Problems: Theory and Applications
Advisor: Prof. Enrique Zuazua
Abstract: In this master thesis, we present a study of the analytical and optimal control properties for the elliptic and parabolic obstacle problems. The obstacle problem is one of the simplest and most physically relevant free boundary problems. From a mathematical perspective, similar questions as for classical partial differential equations (well-posedness, regularity, optimal control) are addressed, as well as the conception of appropriate numerical schemes and computer simulations of the these problems. This work was supported by the Advanced Grant DyCon (Dynamic Control) of the European Research Council Executive Agency (ERC).
Master's Thesis PDF
Awarded the “Best Review and Presentation Prize” at the second ConFlex workshop held in Bilbao, from February 11 to 21, 2019