University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
I am interested in the singularity formation in nonlinear elliptic and parabolic PDEs. I am curently working on pinch-off formation on Cahn-Hilliard type equations and thin-film models for my DPhil. in the EPSRC Centre for Doctoral Training in Partial Differential Equations: Analysis and Applications.
Teaching assistant for C4.6 Fixed Point Methods for Nonlinear PDEs (2019-2020)
Teaching Assistant for B4.3 Distribution Theory and Analysis of PDEs (2019-2020)
Prizes, awards, and scholarships:
DPhil. scholarship from Chilean government.
Major / recent publications:
J. Dávila, M. Del Pino, C. Pesce, J. Wei. Blow-up for the 3-dimensional axially symmetric harmonic map flow into $ S^2 $. AIMS Discrete & Continuous Dynamical Systems. (2019) vol 39, 6913-6943.