email:
axosses*dim.uchile.cl
http://www.dim.uchile.cl/~axosses
Departamento de Ingeniería
Matemática
Facultad de Ciencias Físicas y
Matemáticas
Universidad de Chile, 5th floor, Office 513
Av. Blanco Encalada 2120
Casilla 170/3 correo 3, Santiago, Chile
TEL: (56-2) 978 49 94 (or 44 43),
FAX: (56-2) 688 38 21
Personal
Data
Passport number 11.228.764-7
Birth Date Santiago
de Chile. 01/07/1968
Nationality Chilean
Degrees
- November 1998
- Ph.D.,
Applied Mathematics, Ecole Polytechnique, Paris, France.
Research Area:
Control of Partial Differential Equations.
Thesis: Quelques méthodes théoriques et numériques de contrôlabilité et problèmes d’intéractions fluide-structure.
Advisor:
Professor Jean-Pierre Puel.
- 1994 — 1995
- D.E.A.,
Analyse Numérique, Calcul Scientifique et
Analyse non Linéaire.
U. Pierre et Marie Curie-Paris VI and Ecole Polytechnique de Paris.
Mention:
Très bien (17.53/20).
Rapport stage D.E.A.:
Implémentation d’une méthode numérique pour un problème
de contrôlabilité approchée sur une courbe intérieure, Ecole
Polytechnique, Centre de Mathématiques
Appliquées.
- April 1994
- Ingeniero
Civil Matemático,
Facultad de Ciencias Físicas y Matemáticas,
Universidad de Chile.
Thesis: Análisis
matemático y
numérico de
varios modelos espectrales de vibración sólida
inducida por un fluido, Facultad de Ciencias
Físicas y Matemáticas, Universidad de Chile.
- 1991
- Licenciatura
en Ciencias de la Ingeniería,
Mención Ingeniería Matemática,
Facultad de Ciencias Físicas y Matemáticas, U. de
Chile.
Academic
Positions
- since November 2006
- Full
time Associated Profesor, Departamento de
Ingeniería Matemática, Facultad de Ciencias
Físicas y Matemáticas, Universidad de Chile.
- since March 1999
- Full
time Assistant Profesor, Departamento de
Ingeniería Matemática, Facultad de Ciencias
Físicas y Matemáticas, Universidad de Chile.
- since January 2000
- Member,
Center of Mathematical Modelling, UMR 2071 CNRS-Universidad de Chile.
- may-july 2005
- CNRS
Associated Researcher Laboratoire Jacques Louis-Lions, U.
Paris VI.
Awards
- 1985
- Price
Angel Faivovich decerned to the best graduate student,
Scientific Area, Liceo José Miguel Carrera –
Instituto Nacional.
- 1985
- Best
graduate student Liceo José Miguel Carrera
– Instituto Nacional.
Fellowships
- 1998
- Alpha
Fellowship, Lambda Project of the European Union.
- 1994 – 1997
- President
of the Republic Grant, International Cooperation Agency
(A.G.C.I.), MIDEPLAN, Government of Chile.
- 1993
- Research
Grant, Department of Mathematical Engineering, U. de
Chile, decerned to best pregraduate students.
- 1986
- Merit
Grant, Escuela de Ingeniería, U. de Chile.,
free scholarship first year.
Courses
Taught
- since 1999
- Engineering
courses, Escuela de Ingeniería, Fac. de Cs.
Fís. y Mat., U. de Chile.
- Algebra (MA11A)
- Calculus (MA12A).
Global Coordinator Professor 2002-2003-march 2004
- Calculus in Several
Variables (MA22A)
- Ordinary
Differential Equations (MA26A)
- since 1999
- Mathematical
Engineering courses Departamento de Ingeniería
Matemática, Fac. de Cs. Fís. y Mat. U. de Chile.
- Numerical Analysis
in Partial Differential Equations (MA53L)
- Optimal Control
(MA57C)
- since 2000
- Ph.
D. level Mathematical Modeling courses, Departamento de
Ingeniería Matemática, Fac. de Cs.
Fís. y Mat. U. de Chile.
- Evolution Partial
Differential Equations (MA691)
- Inverse Problems
and Control in Partial Differential Equations (MA691)
- Evolution
Mathematical Models (MA693)
- Numerical Methods
in Engineering Sciences (MA63A)
- Variational Inverse
Problems in Geophysics (MA691)
- Control of Partial
Differential Equations (MA696)
- since 2000
- Summer/Spring
Schools
- Mathematics I,
Scolarship Summer School, Fac. de Cs. Fís. y Mat. U. de
Chile, January since 2000 until 2007.
- Numerical Analysis,
MECESUP Doctoral Summer School, Fac. de Cs. Fís. y Mat. U.
de Chile, December 2002. Organizer.
- Inverse Problems,
DIM/CMM Doctoral Spring School, Fac. de Cs. Fís. y Mat. U.
de Chile, September-October 2006. Main organizer.
Graduate
Students
- October
2005–January 2007
- Alberto
Mercado, Controlabilidad
y problemas inversos en ecuaciones parabólicas
con transporte (Controllability and inverse problems in parabolic
equations with transport), Ph. D. Thesis in Mathematical Modeling
financed with MECESUP/CMM grants, Mathematical Engineering Department,
U. de Chile. Director. Thesis in co-direction with J.-P. Puel at the
Laboratoire des Mathématiques Apliquées, U. de
Versailles Saint-Quentin, France partially supported by ECOS-CONICYT.
Thesis defense, january 23th, 2007.
- October
2001–April 2004
- Galina
García,
Control y adaptividad en modelos
de circulación
oceánica
(Adaptativity and control in
oceanographic models), Ph.
D. Thesis in Applied Mathema- tics
supported by FONDAP-CONICYT grants, Mathematical Engineering
Department, U. de Concepción, Concepción.
Co-director in Santiago. Director in Concepción: Prof.
Rodolfo Rodríguez. Thesis defense: April 1, 2004.
- March
2005–December 2005
- Karina
Malla, Kalman Filter
strategies for data assimilation and application to source estimation, Mathematical Engineering Thesis.
Departamento de Ingeniería Matemática,
Universidad de Concepción. co-Director with Jaime Ortega.
- October
2003–September 2004
- Eduardo
Cerpa, Un modelo de
interacción
fluido-estructura y resolución
de un problema inverso
(A fluid-structure interaction model and resolution of an inverse problem), Mathematical Engineering Thesis,
Mathematical Engineering Department, U. de Chile. Co-director. The
student followed in September 2004 the Master Analyse
Numérique, Analyse non Linéaire, U. Pierre et
Marie Curie-Paris VI and now is a PhD student with Prof. J. M. Coron in
Paris XI, Orsay.
- April 2004–March
2005
- Claudio
Pizarro, Control asintótico de estructuras reforzadas
(Asymptotic control of
reinforced structures), Mathematical
Engineering Thesis in coll. with M. Vanninathan,
Mathematical Engineering Department, U. de Chile. Director, Thesis
defense March 24, 2005.
- Juin
2003–September 2004
- Eduardo
Contreras, Métodos matemáticos para la inversión del tiempo de viaje
a partir de mediciones sísmicas en el Moho de Juan Fernández (Mathematical methods for travel time inversion from
seismic measurements in the Juan Fernández Moho), joint
research at the Center of Mathematical Modeling as Research CMM Student during
and after its Master Thesis in Seismology, Geophysics Department, Fac.
de Cs. Fís. y Mat., U. de Chile.
- March
2004–December 2004
- Eduardo
Godoy, Estudio teórico y numérico del oleaje producido en
Modelos del
Convertidor Teniente debido a la inyección de aire por toberas
(Theoretical and
numerical study of waves produced in Teniente copper converter after
air inyection), Master Thesis in Mechanical Engineering
and Mathematical Engineering Thesis. Director in Department of
Mechanical Engineering: A. Valencia. Co-director in Department of
Mathematical Engineering.
Research Projects
See Projects Page
Conferences
Attended
- September 25 2008
- Asimilación de datos y aplicaciones a ciencias atmosféricas. 1er Encuentro de Radio-Astronomía y Meteorología en Valparaíso.
- Invited talk, Valparaíso, Chile.
- August 11-15 2008
- Inverse Problems in PDE's. 3rd LNCC Meeting, invited talk, Petrópolis, Brazil.
- June 2008
- Variants of Carleman Inequalities applied to Inverse Problems. Nonlinear heat equation, Schrödinger equation,
- transmission problems. Control of Physical Systems and PDEs, Invited Speaker, Institut Henri Poincaré, Paris, France.
- April 2008 Second SAEMC Workshop, Ubatuba, Brazil.
- September 24-28 2007
- Variants of global Carleman weights in one-measurement inverse problems and fluid-structure controllability problems,
- CEDYA 2007, Sevilla, España. Communication.
- January 15–19
2007
- Some
global Carleman weights for inverse and controllability problems.
Conference honoring Alberto Caldern. IMPA, Río de Janeiro,
Brazil. Invited speaker.
- August 2–5 2006
- Tres
problemas de identificación
de parámetros
en EDP’s de la geofísica,
XVI Congreso COMCA 2006, U. de La Serena, La Serena, Chile.
- March 21–24 2006
- An
inverse problem for the wave equation with one time-dependent partial
boundary measurement,
Seminar of Inverse Problems and Applications, in honor of the 1980
seminar of Alberto Caldern, LNCC, Río de Janeiro, Brazil.
Invited speaker.
- December 5–10
2005
- Local
stability for the inverse problem of recovering coefficients in the wave
equation from partial boundary
observations, ANCIF’05, International Workshop
on Numerical Analysis and Control of Fluid-Structure Interactions,
Chilln, Chile, December 5–10, 2005. Member of the
Organization Committee,
http://ancif05.iecn.u-nancy.fr
- August, 3–6 2005
- Desigualdades
de Carleman con pesos rotados y aplicación a un problema inverso
para la ecuación de ondas, COMCA
2005, Antofagasta, Chile.
- March, 29-31 2004
- Control
Optimo y Problemas Inversos, introductory course.
UMESAM-IAI Workshop March 2003 held at CMM, Urban Mobile Emissions in
South America Mega Cities: Bogotá, Buenos Aires, Lima, Rio
de Janeiro, Santiago, Sao Paulo, research grant from the InterAmerican
Institute for Global Change at the Center of Matematical Modeling.
Member of the organizing committee. Available at www.cmm.uchile.cl/~umesam/activities_fir_tut-es.html.
- January 13-16, 2004
- Some
controllability and inverse techniques in geophysics,
First Chilean Workshop on Numerical Analysis of Partial Differential
Equations, Concepción, Chile.
- Juin 2003
- Inegalités d’observabilité et contrôle insensibilisant d’un
modèle océanographique quasi-géostrophique,
Congrès National d’Analyse Numérique,
Minisimposium: Point sur la coopération franco-chilienne,
Montpellier, Languedoc, France.
- September 2001
- Rotated
and multiple multipliers applied to the controllability in PDE,
CEDYA, Salamanca, Spain.
- September 2001
- Sobre
la controlabilidad nula del la EDP del calor semilineal con coeficientes
de difusión discontinuos,
CEDYA 2001, Salamanca, Spain, Co-author.
- Juin 2000
- Approximate
controllability and homogenization of a semilinear elliptic problem.
Non-Linear Analysis Conference 2000. Courant Institute, New York,
U.S.A.
- January 2000
- Controllability
and homogenization of a semilinear elliptic problem in an hypersurface. USA-Chile
Workshop on Non-linear analysis. Viña del Mar, Chile.
- May 1998
- Approximate
controllability of some linear models of fluid-structure interaction.
Minisimposium. SIAM Conference on Control and its Applications,
Jacksonville, U.S.A.
Seminar
Presentations
- May 2006
- An
inverse problem for the wave equation with one time-dependent partial
boundary measurement,
PDE and Inverse Problems Seminar, Department of Mathematics, University
of Washington, Seattle, USA.
- Juin 2005
- Global
Carleman inequalities for the wave equation with rotated multipliers.
Application: recovering a
coefficient in the wave equation from boundary measurements, Sminaire Ecole
Centrale de Lyon, Lyon, France.
- Juin 2005
- Resolution
of an inverse problem for the wave equation with rotated Carleman
inequalities,
Sminaire Institut Elie Cartan, U. Nancy, Nancy, France.
- April 2005
- Finite
Rank Approximation based method for solving the Radiative Transfer
Equation in Stellar Atmosphere
Modelling, seminar at the European Southern Observatory
(ESO) with Olivier Titaud, Vitacura, Santiago,
www.sc.eso.org/santiago/science/seminar2005.html.
- Juin 2004
- Problemas
inversos y de control en transporte-difusión. Seminario de
Fluidodinámica, Facultad de Ciencias Físicas y
Matemáticas, Universidad de Chile, Santiago, Chile.
- Juin 2004
- Un
problema inverso para la ecuación
de ondas. Coloquio del Departamento de
Ingeniería Matemática, U. de
Concepción, Concepción, Chile.
- May 2004
- Aplicaciones
del control exacto a cero en un modelo 2D de circulacion oceanica.
Conferencia en el Coloquio de Matematicas Aplicadas del IIMA (Instituto
de Investigaciones en matematicas Aplicadas y en Sistemas) de la
Universidad Autonoma de Mexico, Ciudad Universitaria, Mexico D.F.
- Juin 2002
- Inegalités de Carleman pour l’équation sémilinéaire de la chaleur avec des
coefficients discontinues,
Laboratoire de Mathématiques Appliquées,
Université de Versailles Saint-Quentin.
- October 2001
- Control
de ondas bajo hipótesis
geométricas,
Conferencia Fundación Cámara, Universidad de
Sevilla, Sevilla, Spain.
- Juin 2001
- Multipliers
and controllability, Journée de
Contrôle et Mathématiques Appliquées
des Universités de la Lorraine, Metz, France.
- December 2000
- Desigualdades
de Carleman, Coloquio del Departamento de
Matemáticas de la Facultad de Ciencias de la U. de Chile.
- November 2000
- Controlabilidad
exacta a cero de la ecuación
del calor con coeficientes discontinuos,
Encuentro CMM/Concepción, FONDAP de Modelamiento
Matemático.
- November 2000
- Controlabilité approchée et continuation unique de
quelques modèles
d’interaction fluide-estructure,
Séminaire U. de Metz, France.
- October 2000
- Un
problème
inverse elliptique sémilinéaire: controllabilité et homogéneisation,
Séminaire du LCPC Laboratoire des Matériaux et
des Structures du Génie Civil UMR CNRS.
- September 1999
- Controlabilidad
aproximada de un sistema membrana-fluido cerca de ángulos rectos. Seminario Departamento
de Matemáticas, Facultad de Ciencias, Universidad del
Bío-bío. Concepción, Chile.
- September 1999
- Aspectos
teóricos y
numéricos
del control de fluidos y fluido-estructura. Seminario
Departamento de Ingeniería Matemática, Facultad
de Ciencias Físicas y Matemáticas, Universidad de
Concepción. Concepción, Chile.
- Juin 1999
- Géometrie et contrôlabilité approchée de sistèmes fluide-structure. Séminaire
Groupe de Recherche Fluide-Structure dirigé par Mme.
Bernardi et Y. Maday. Laboratoire d’Analyse
Numérique (actually Laboratoire Jacques-Louis Lions),
Université Pierre et Marie Curie – Paris VI.
- November 1998
- Multiplicateurs
et contrôle. Réunion
de Recherche. Siège à Paris de Dassault Aviation.
Groupe de Recherche sur le contrôle a future des avions en
collaboration avec l’Ecole Polytechnique.
- October 1998
- Casos
geométricos
de controlabilidad aproximada de sistemas fluido-estructura.
Seminar. Departamento de Matemática Aplicada de la
Universidad Complutense de Madrid.
- November 1997
- Control
of a linear model in solid-fluid interaction. Seminar.
Institut für Mathematik, Karl-Franzens-Universität,
Graz, Austria.
- November 1997
- Boundary
Controllability of the Stationary Stokes System. Seminar.
Institut für Mathematik, Karl-Franzens-Universität,
Graz, Austria.
- May 1997
- Contrôlabilité frontière approchée du système de Stokes stationnaire observé sur une courbe intérieure. Congreso
Nacional de Analisis Numérico, Ardèche, France.
- August 1996
- Controlabilité approchée du système de Stokes sur une courbe.
Seminar. Centre de Matematiques Appliquées, Ecole
Polytechnique, Paris, France.
Scientific
Articles
See Publications Page