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BCAMSevero Ochoa Award

basque center for applied mathematics

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Yoldaş, Havva

PhD Student (La Caixa 2014)

Linear and Non-Linear Waves

Mazarredo, 14. 48009 Bilbao Basque Country - Spain


After obtaining my B.Sc. degree in Mathematics from Boğaziçi University (Istanbul, Turkey) in June 2013, I joined MathMods (Mathematical Modeling in Engineering) which is a joint Erasmus Mundus M.Sc. degree program between 5 partner EU universities. I completed my thesis which is entitled as "A study of non-local Hughes's model for pedestrian flow" in September 2015 under the supervision of Assoc. Prof. Debora Amadori as a part of study path "Mathematical Models for Life and Social Sciences". In October 2015, I joined BCAM under the International PhD Fellowship Programme “la Caixa” - Severo Ochoa 2014. Since October 2016 I am a PhD. candidate in Mathematics at the University of Granada under the supervision of José A. Cañizo. My thesis title is "Asymptotic behaviour of some nonlocal equations in mathematical biology and kinetic theory". My research interests include biological applications of PDEs and kinetic theory both in theoretical and numerical aspects. During my Ph.D., I focused on applying probabilistic methods to linear/nonlinear PDEs (neuron population models, growth-fragmentation equations) and some linear kinetic equations (linear BGK, linear Boltzmann equations) in order to determine long time behaviour of solutions, especially rate of convergence to equilibrium in a quantitative way. Since January 2019, I am at Imperial College London, visiting Prof. José A. Carrillo and we are working on numerical approximations for growth-fragmentation equations and asymptotic behaviour of some models for genetic circuits. Previously, during my masters, I worked on developing numerical methods of a nonlocal version of Hughes's model which is a non-linear PDE coupled with an eikonal equation and a first order conservation law and it is used for describing dynamics of pedestrian movement to reach the target as soon as possible while taking into consideration the density around.

Eusko Jaurlaritza - Gobierno Vasco ikerbasque - Basque Foundation for Science Bizkaia xede. Bizkaiko Foru Aldundia innobasque - Agencia vasca de la innovación Universidad del PaÃŒs Vasco (UPV/EHU)