Organizers:
G. Buttazzo (U. Pisa), O. Glass (U. Paris-Dauphine), G.Leugering (FAU Erlangen-Nürnberg), E. Zuazua (FAU Erlangen-Nürnberg, Deusto Foundation - UAM)
X Partial differential equations, optimal design and numerics
(Benasque Science Center, Aug 18 - Aug 30, 2024)
Download the abstract booklet here.
Monday, August 19
| 09:30-10:15 | On exact controllability, optimal control and domain decomposition for degenerated wave equations on networks. Günter Leugering |
| 10:15-11:00 | Optimal coefficients for elliptic PDEs. Giuseppe Buttazzo |
| 11:30-12:15 | Global L^p Carleman Estimates for the Laplace operator and applications. Sylvain ERVEDOZA |
| 12:15-13:00 | SA-NODEs and the Universal Approximation of Dynamical Systems Lorenzo Liverani |
| 16:30-18:30 | Thematic session on organized by Martin Gugat |
| (Non)-synchronization of boundary observers for wave equations Jan Giesselmann | |
| Topological Derivatives for Control of Gas Networks Jan Sokolowski | |
| Location Problem for Compressor Stations in Pipeline Networks Michael Schuster | |
| Random batch method and emergence of domain decomposition Martín Hernández Salinas | |
| Isothermal flow in gas networks: Synchronization of observer systems Martin Gugat |
Tuesday, August 20
Wednesday, August 21
| 09:30-10:15 | Eigenvalue decay bounds for the Gramian operator of the heat equation. Martin Lazar |
| 10:15-11:00 | Energy consistent schemes for port-Hamiltonian systems. Jan Giesselmann |
| 11:30-12:15 | Representation and Regression Problems in Neural Networks: mean-field relaxation, generalization, and numerics. Kang Liu |
| 12:15-13:00 | Control in Computational Mathematics and Machine Learning. Fariba Fahroo |
| 16:30-18:30 | Thematic session on 'Controllability and stabilization of hyperbolic problems' Organized by Nicola De Nitti (EPFL, Switzerland) and Arick Shao (Queen Mary University of London, UK) |
| How much does it cost to control near a shock? Vincent Laheurte | |
| Control of Waves on Time-Dependent Domains Arick Shao | |
| (Lack of) Local controllability of a water tank controlled by acceleration Armand Koenig |
Thursday, August 22
Friday, August 23
Monday, August 26
| 09:30-10:15 | Control on one side for the 1D compressible Euler equation Olivier Glass |
| 10:15-11:00 | The current state in the field of nonlocal conservation laws. Alexander Keimer |
| 11:30-13:00 | Thematic session on 'Analysis and Control of Some Machine Learning Architectures' Organized by Antonio Álvarez López (U. Autónoma Madrid, Spain), Rafael Orive Illera (ICMAT Madrid, Spain) |
| Clustering in transformer models in machine learning and its role in sentiment analysis Albert Alcalde | |
| Robust training of neural ordinary differential equations Daniel Fernández | |
| Multiclassification and universal approximation of multilayer perceptron Martín Hernández Salinas | |
| Efficient federated learning via the alternating direction method of multipliers Ziqi Wang | |
| 16:30-18:30 | Thematic session on 'Calculus of Variations, Symmetry, and Singularities' Organized by Nicola De Nitti (EPFL, Switzerland) and María del Mar González (U. Autonoma Madrid, Spain) |
| The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality María del Mar González Nogueras | |
| Self-similar solutions, regularity and time asymptotics for a nonlinear nonlocal diffusion equation Marco Antonio Fontelos | |
| Necessary conditions for minimizers of optimal control problems Francesca Angrisani | |
| Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality Nicola De Nitti | |
| 19:00-21:30 | Reception |
Tuesday, August 27
Wednesday, August 28
| 09:30-10:15 | Autonomous Optimal Transport Nicola De Nitti |
| 10:15-11:00 | Group discussion: suggestions for future editions Enrique Zuazua Iriondo |
| 16:30-18:30 | Thematic session on 'Analysis of evolution equations and applications' organized by Arijit Das and Maria Filipkovska |
| Population balance equation for collisional fragmentation ARIJIT DAS | |
| Hypoelliptic Kolmogorov operators Giulio Pecorella | |
| Criterion of the global solvability and attracting sets for singular and abstract differential-algebraic equations and applications Maria Filipkovska | |
| p-Wasserstein metrics for gas networks Ariane Fazeny | |
| The backward problem for time-fractional evolution equations Salah-Eddine Chorfi |
Thursday, August 29
| 09:30-11:00 | Thematic session on 'Stabilization, Control of PDEs and related topic' organized by Salah-Eddine Chorfi and Roberto Alejandro Morales |
| Observability of the heat equation from very small sets Kévin Le Balch | |
| Controllability and Inverse Problems for Parabolic Systems with Dynamic Boundary Conditions Salah-Eddine Chorfi | |
| Observability of Stochastic Evolution Equations in Infinite Dimensions Lahbiri Fatima Zahra | |
| Abstract Damped Wave Equation: the optimal decay rate Lorenzo Liverani | |
| 11:30-12:15 | Final discussion and closing remarks other |
| 16:30-18:30 | Free discussion and joint work time All |
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