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I am currently a postdoctoral researcher in the group of Prof. Sebastian Herr at Bielefeld University, working within the project Nonlinear Interaction of Rough Waves, part of the Collaborative Research Center 1283 “Taming Uncertainty and Profiting from Randomness and Low Regularity in Analysis, Stochastics and Their Applications.”
I completed my PhD in the Department of Mathematical Engineering (DIM) at the University of Chile, under the supervision of Prof. Claudio Muñoz. Before that, I conducted my master's research under the guidance of Prof. Manuel Pinto at the Faculty of Sciences, also at the University of Chile.
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My Research
My Research
I am interested in Nonlinear Dispersive Equations, Asymptotic Models for Water Waves and Mathematical-biology. The Boussinesq models are among my main motivations. In particular, I study well- and ill-posedness, stability and asymptotic stability of solitary waves. I also study some advanced quantum field models.
Publications
Publications
Decay of small energy solutions in the ABCD Boussinesq model under the influence of an uneven bottom (with C. Muñoz and F. Poblete).
Preprint arXiv:2507.06487 (2025).Decay of solutions of nonlinear Dirac equations (with S. Herr and C. Muñoz).
Preprint arXiv:2503.05410 (2025).On asymptotic stability of stable Good Boussinesq solitary waves (with C. Muñoz).
Preprint arXiv:2501.13649 (2025).Asymptotic stability of the fourth order $\phi^4$ kink for general perturbations in the energy space (with C. Muñoz)
Ann. Inst. H. Poincaré C Anal. Non Linéaire (2024).Asymptotic stability manifolds for solitons in the generalized Good- Boussinesq equation,
published in J. Math. Pures Appl. j.matpur.2023.07.001.
All my papers are here or in ZbMATH.
Christopher Maulé
Teaching
Teaching
2018-2019. Teaching assistant, FCFM, Universidad de Chile.
In the courses: Partial differential equations, Differential equations, Topics in partial differential equations.
2015-2018. Lecture at Universidad de Talca, Campus Santiago.
In the following courses: Calculus, Linear Algebra, Mathematics II, Introduction to Mathematics, Personalized Tutorials of Mathematics II.
2016. Lecture, Universidad Técnica Federico Santa María, Campus Vitacura.
In the courses: Mathematics 021, Mathematics 022.
Fellowships and Visits
Fellowships and Visits
Universidad de Sevilla, Spain, visiting Prof. Miguel Angel Alejo (four months, 2020)
University of Bergen, Norway, visiting Prof. Didier Pilod (one month, 2019).
Universidad de Granada, Spain, visiting Prof. Juan Soler (one month, 2019).
2016-2021. ANID Doctorado Nacional.
2013. CONICYT Magíster Nacional.
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