Welcome to Christopher Maulén's homepage

Education

I am a postdoc in the research group of Prof. Sebastian Herr at Bielefeld University within the Project Nonlinear interaction of rough waves 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 Thesis at the Department of Mathematical Engineering (DIM) of the University of Chile, under the advise of Prof. Claudio Muñoz. Previously, Prof. Manuel Pinto was my master's thesis advisor at the Faculty of Sciences of the University of Chile.

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

Asymptotic stability of the fourth order $\phi^4$ kink for general perturbations in the energy space (with C. Muñoz) accepted in AIHPC.
Asymptotic stability manifolds for solitons in the generalized Good- Boussinesq equation, published in J. Math. Pures Appl. j.matpur.2023.07.001.
Decay properties in the Skyrme and Adkins-Nappi equations (with M. A. Alejo), published in Letters in Mathematical Physics 112 (5), 1-33 (2022).
Ill-posedness issues on the (abcd)-Boussinesq system (with C. Kwak), published in J Dyn Diff Equat (2022). https://doi.org/10.1007/s10884-022-10189-4.
Decay in the one dimensional generalized Improved Boussinesq equation (with C. Muñoz) published in SN Partial Differ. Equ. Appl. 1, 1 (2020).
Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems (with A. Coronel, M. Pinto, D. Sepulveda) published in J. Math. Anal. Appl. 450 (2017) 1434–1458.

Christopher Maulén

All my papers are here.

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

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.