Control Theory, Partial Differential Equations, Inverse Problems

A. FINISHED THESIS

1. Master Thesis in Mathematics
Student: Patricio Guzmán
Títle: Análisis y Control de la ecuación de Kuramoto-Sivashinsky
Institution: Universidad Técnica Federico Santa María
Date: August 24, 2012

2. Master Thesis in Mathematics
Student: Esteban Paduro
Title: Approximate Controllability for the Two Trapped Ions System
Co-direction: Alberto Mercado
Institution: Universidad Técnica Federico Santa María
Date: November 15, 2013

3. Engineering Diploma in Mathematics
Student: Esteban Hernández
Title: Control adaptativo de bioprocesos asociados a modelos de microalgas
Institution: Universidad Técnica Federico Santa María
Date: May, 2015

4. Master Thesis in Mathematics
Student: Nicolás Molina
Title: On some controllability problems for Saint-Venant equations
Co-direction: Axel Osses
Institution: Universidad de Chile
Date: August, 2016

5. Master Thesis in Mathematics
Student: Esteban Hernández
Title: Adaptive control for parameter identification in parabolic model of batteries
Institution: Universidad Técnica Federico Santa María
Date: Marzo, 2017

6. PhD Thesis in Mathematics
Student: Patricio Guzmán
Title: Contribution to the control of high-order partial differential equations
Institution: Universidad Técnica Federico Santa María
Date: August, 2017

7. PhD Thesis in Mathematics
Student: Claudia Moreno
Title: Control of systems of partial differential equations of dispersive type
Institution: Universidad Técnica Federico Santa María and Université Paris Saclay
Date: August, 2020

8. Master Thesis in Mathematics
Student: Hugo Parada
Title: Stabilization of some parabolic-elliptic systems
Institution: Universidad Técnica Federico Santa María
Date: September, 2020

B. THESIS IN PROGRESS.

9. Master Thesis in Mathematics
Student: Nelson Cifuentes
Title: Controllability of some KdV systems
Institution: Universidad Técnica Federico Santa María
Expected: December, 2020

10. PhD Thesis in Mathematics
Student: Esteban Hernández
Title: Control properties of some parabolic systems
Institution: Universidad Técnica Federico Santa María and Université Grenoble-Alpes
Date: August, 2021

C. RESEARCH COURSES

1. Title: Stabilization Methods for the Korteweg-de Vries equation
Workshop/School: Summer School of Automatic Control
Place: Grenoble, France
Date: September 10-14, 2012

2. Title: Control and stabilization for the Korteweg-de Vries equation
Workshop/School: PASI Inverse Problems and PDE Control
Place: Santiago, Chile
Date: January 16-20, 2012

3. Title: Inverse Problems
Workshop/School: Escuela en Control y Optimización
Place: Quito, Ecuador
Date: October 21-31, 2013

4. Title: PDE Control Methods
Workshop/School: Short course in Master at Gipsa-lab,
Place: Grenoble, France.
Date: January 2017

5. Title: Control de EDP
Workshop/School: Short course in Graduate level at Universidad de Buenos Aires,
Place: Buenos Aires, Argentina.
Date: November 2018

6. Title: PDE Control Methods
Workshop/School: Short course in Master at Gipsa-lab,
Place: Grenoble, France.
Date: January 2020

Dissemination talks at highschool level: "Algunas Aplicaciones de la Matemática"
Framework: Local Mathematical Olympiad organized for students at Universidad Técnica Federico Santa María.
Place: Valparaíso and Santiago