Member Profile

Membership type: full

Jessica Trespalacios

Country of origin: Colombia Currently in: Chile, Santiago General field of specialization: Mathematical sciences

Academic Background: Degrees

2024 Master Mathematical sciences
Research and Profession: Current Research Activities

I am interested in Nonlinear Analysis, Partial Differential Equations and its relation to Mathematical General Relativity , in specific, mathematical study of Einstein field equations in vacuum, its solutions, their stability, conservations laws, global existence solution, cosmological-type solution, as well as Virial method for the study of asymptotic behavior of the gravitational wave type solitonic solutions.

Publications resulting from Research:

Global existence of suitable small solutions in the Belinksi-Zakharov spacetimes, and applications. C. Muñoz and J. Trespalacios. arXiv preprint https://arxiv.org/abs/2305.01414. Submitted.

Global existence and long time behavior in the 1+1 dimensional Principal Chiral Model with applications to solitons. J. Trespalacios. Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics, Vol 24 Issue 12. https://doi.org/10.1007/s00023-023-01405-y.

Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations. E. Pereira, E. Suazo, J. Trespalacios. Applied Mathematics and Computation (AMC). 329(2018), 278 − 296,
ISSN0096 − 3003.

Current profession

Current professional activities type:

Higher Education Study

PhD Student in Matematical Modelling at the University of Chile