Speakers
Confirmed speakers
- Fatiha Alabau
Université de Lorraine, France - Grégoire Allaire
Ecole Polytechnique de Paris, France - Giuseppe Buttazzo
Università di Pisa, Italy - Eduardo Cerpa
Pontificia Universidad Católica de Chile, Chile - Jean-Michel Coron
Université Pierre et Marie Curie, Sorbonne Université, France - Luz de Teresa
Universidad Nacional Autónoma de México, Mexico - Miguel Escobedo
Universidad del País Vasco, Spain - Enrique Fernández-Cara
Universidad de Sevilla, Spain - Günter Leugering
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany - Juan Límaco
Universidad Federal Fluminense, Brazil - Aurora Marica
University Politehnica of Bucharest, Romania
- Yves Meyer
École Normale Supérieure Paris-Saclay, France - Rafael Orive
Universidad Autónoma de Madrid, Spain - Jaime Ortega
Universidad de Chile, Chile - Axel Osses
Universidad de Chile, Chile - Gustavo Perla-Menzala
Federal University of Rio de Janeiro, Brazil - Alessio Porretta
University of Rome Tor Vergata, Italy - Domènec Ruiz-Balet
Universidad de Deusto, Spain - Emmanuel Trélat
Université Pierre et Marie Curie, Sorbonne Université, France - Marius Tucsnak
Université de Bordeaux, France - Mahamadi Warma
George Mason University, USA - Xu Zhang
School of Mathematics, Sichuan University, China
Fatiha Alabau
Université de Lorraine, France
Thursday 4 November
14:20 – 14:55
“On some recent issues on the scalar-input bilinear control of PDE’s”
Fatiha Alabau-Boussouira has been formed and got her PhD at the Université Pierre et Marie Curie in 1987. She was assistant professor at the University of Bordeaux since 1988 until 1997, when she became full professor at the Université Louis Pasteur in Strasbourg, and then moved to the Université de Metz in 1999 (which became the Université de Lorraine in 2012). She carries out her research at the Laboratoire Jacques-Louis Lions at Sorbonne University. She is the author of more than 60 papers in mathematics analysis and applications. Her scientific interests mainly focus on the theory of control and stabilization of partial differential equations and their links to inverse problems. From 2014 to 2017, she was President of the French Society of Applied and Industrial Mathematics (SMAI). From 2010 to 2014, she was the head of the GDR n°3362 in Control of PDE’s, and from 2010 to 2017 the French coordinator for the French-Italian GDRE CONEDP in Control of PDE’s. Since 2018, she is the head for France of the French-German-Italian LIA COPDESC on Applied Analysis.
Grégoire Allaire
Ecole Polytechnique de Paris, France
Wednesday 3 November
“Shape optimization with imperfect interfaces”
Professor Allaire’s research focuses on the mathematical modeling, numerical simulation and optimization of physical and mechanical problems. He is a specialist of multi-scale analysis (homogenization) and of shape and topology optimization of structures.
Giuseppe Buttazzo
Università di Pisa, Italy
Thursday 4 November
“Variations on a theme by Cheeger”
Eduardo Cerpa
Pontificia Universidad Católica de Chile, Chile
Wednesday 3 November
“Stabilization for the KdV equation: from Zuazua’s result to the most recent ones”
Jean-Michel Coron
Université Pierre et Marie Curie, Sorbonne Université, France
Wednesday 3 November
“Obstruction to the small-time local controllability for a KdV control system”
Luz de Teresa
Universidad Nacional Autónoma de México, Mexico
Thursday 4 November
“On hierarchical control of parabolic equation”
My research is on the controllability of partial differential equations.
In 2000, I published a first paper solving, almost completely, the insensitizing problem for the heat equation. This problem was proposed by J.L. Lions in 1989 and was solved on a weakened version by Bodart and Fabre in 1995. In 2019 we published a paper on the subject but treating, for the first time, the numerical aspects.
The way of treating this subject took me to the study on the controllability of coupled parabolic equations. In a series of papers, we showed that this is a difficult and challenging problem and introduced different techniques towards a full understanding of the subject.
Recently, I have been working on hierarchical control problems, which means that we act on one equation by means of two or more controls that have a hierarchy on their objectives. Generally, one of the controls (leader or follower) has an optimization objective and the other (follower or leader) has a controllability objective.
Other contributions are related with thermoelasticity and Schrödinger equations and, in a forthcoming paper, with discrete Carleman equations for an inverse elliptic problem.
Miguel Escobedo
Universidad del País Vasco, Spain
Wednesday 3 November
13:30 – 14:05
“Instability of some equilibria in an homogeneous Boltzmann equation for radiation”
Miguel Escobedo is Professor at the Department of Mathematics of the Universidad del País Vasco (UPV/EHU). His work has mainly focused on the study of nonlinear partial differential equations (existence and uniqueness of solutions and their qualitative behavior), using tools of classical calculus and functional analysis. He has been more involved recently in kinetic equations, strongly motivated by physical phenomena.
Enrique Fernández-Cara
Universidad de Sevilla, Spain
Wednesday 3 November
16:00 – 16:35
“Controlling some PDEs with nonlocal in space terms”
Günter Leugering
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
Friday 5 November
“Space-and time domain decomposition of control problems for PDEs on networks”
Juan Límaco
Universidad Federal Fluminense, Brazil
Thursday 4 November
“Local null controllability of a quasi-linear parabolic equation in dimensions \(2\) and \(3\)”
Aurora Marica
University Politehnica of Bucarest, Romania
Friday 5 November
14:20 – 14:40
“Hardy inequalities for potentials with countable number of singularities”
Yves Meyer
Ecole Normale Supérieure Paris-Saclay, France
Friday 5 November
“Spikes and Waves”
Rafael Orive
Universidad Autónoma de Madrid, Spain
Wednesday 3 November
14:20 – 14:55
“Spectral gaps in planar waveguides”
Jaime Ortega
Universidad de Chile, Chile
Thursday 4 November
15:10 – 15:45
Some results on discrete inverse problems for partial differential equations
Jaime H. Ortega is Bachelor in Mathematics (1989) and Master in Mathematics (1991) from Universidad de Concepción, Chile and Doctor in Mathematics from Universidad Complutense de Madrid (1997) under the supervision of Prof. Enrique Zuazua. He is Full Professor of the Department of Mathematical Engineering and Principal Investigator of the Center for Mathematical Modeling (CMM) of Universidad de Chile, with a long experience in basic sciences and applied projects, directing working groups. He is coordinator of the Copernicus Relay and Copernicus Hub at CMM.
His main areas of interest are control and Inverse Problems in PDE and Image Processing. In the last years he has coordinated several applied projects with applications in mining, in particular the study of mine tailing and the rock mechanics for underground mine. From a couple years he is co-coordinator of the Laboratory of Mathematics Geomatics, developing applications of remote sensing, in particular satellite images, to the study of earth observation, glaciers, water management and climate change, among others, with the use of Artificial Intelligence and High Performance Computing.
Axel Osses
Universidad de Chile, Chile
Friday 5 November
“Some inverse problems in heart valve identification”
His main line of research has been that of control and inverse problems in PDE’s. It has led to the development of important applications in geophysics, medicine and astronomy and has trained young researchers with capacities to innovate in this area and its applications.
Gustavo Perla-Menzala
Federal University of Rio de Janeiro, Brazil
Friday 5 November
Asymptotic behavior of models in elasticity and fluids, some results with E. Zuazua
Alessio Porretta
University of Rome Tor Vergata, Italy
Wednesday 3 November
“Time decay of Fokker-Planck equations with confining drift”
Domènec Ruiz-Balet
Universidad de Deusto, Spain
Friday 5 November
14:45 – 15:05
“Constrained control in reaction-diffusion equations”
Domènec Ruiz-Balet is a PhD Student at Universidad Autónoma de Madrid (UAM). He earned the Bachelor’s Degrees on Mathematics and Physics at Universitat Autònoma de Barcelona (UAB) and the Master’s Degree in Applied Mathematics in an Erasmus Mundus program at University of L’Aquila (UAQ) and University of Hamburg (UH). Currently, he is studying for his PhD in Control Theory, under the supervision of Prof. Enrique Zuazua (FAU, University of Deusto and Universidad Autónoma de Madrid).
Emmanuel Trélat
Université Pierre et Marie Curie, Sorbonne Université, France
Thursday 4 November
“Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions”
Marius Tucsnak
Université de Bordeaux, France
Thursday 4 November
“Reachable spaces for infinite dimensional systems”
Mahamadi Warma
George Mason University, USA
Friday 5 November
10:40 – 11:15
“Controllability properties of fractional PDEs:
What is the state of the art?”
Mahamadi Warma received a Ph.D degree in 2002 at the University of Ulm in Germany. From 2005 to 2019 he was professor at the University of Puerto Rico, Rio Piedras Campus. Since 2020 he is a professor at George Mason University in Fairfax, Virginia. His research interest includes: Calculus of variations, nonlocal and fractional PDEs, optimization, and controllability.
Xu Zhang
School of Mathematics, Sichuan University, China