Breaking the symmetry with Robin boundary conditions Introduction Establishing symmetry properties of solutions to differential equations is a very important task in mathematical analysis, both from the theoretical point of view and for applications. Indeed, partial differential equations arise in modeling many phenomena in physics, mechanics, and so on. A […]
Breaking the symmetry with Robin boundary conditions
388 posts
Date: Wed. May 03, 2023: Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Inviscid limits of the compressible Navier-stokes equation to small BV solutions to Euler Speaker: Prof. Dr. Alexis Vasseur […]
Date: Thu. April 27, 2023 Time: 09:45H (11:45H GST) Where? On-site On April 27, 2023 our Head Prof. Enrique Zuazua will talk as keynote speaker on “Control and Machine Learning” at the ICMSAO’23, a venue for engineers and scientists from all over the world to share their latest research results […]
On Wednesday April 26, 2023, Prof. Dr. Joachim Hornegger, President of FAU and Prof. Dr. Veronica Grimm, member at FAU MoD will open the #FAUinsights lectures organised by FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg and EnCN, Energie Campus Nürnberg to discuss on hydrogen and its possible applications: • FAU’s hydrogen strategy (“Die Wasserstoffstrategie der FAU”) By […]
Date: Thu. April 20, 2023 at 11:00H Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Error bounds for physics-informed (and) operator learning for PDEs Speaker: Tim De Ryck Affiliation: PhD Student […]
Date: Wed. April 19, 2023 Event: FAU MoD Lecture Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: From Alan Turing to contact geometry: Towards a “Fluid computer” Speaker: Prof. Dr. Eva Miranda Affiliation: UPC, Universitat Politècnica de Catalunya · BarcelonaTech Abstract. Is hydrodynamics […]
Date: Mon. April 17, 2023 Time: 16:00H Where? On-site / Online (zoom link below) On April 17, 2023 our Head Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the Workshop Geometric Aspects of Evolution and Control organized on April 17-21, 2023 at the FernUniversität Hagen, Germany. Abstract. […]
CML: Control, Machine Learning and Numerics Professors: Enrique Zuazua, Yongcun Song Period: Summer Semester 2022/2023 Date: April to July 2023 ECTS: 10 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_5073175
Course: Wave Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 summer semester Date: April – July 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Scalar Conservation Laws Lecturers: Enrique Zuazua, , Nicola De Nitti Period: 2022/2023 summer semester Date: April – July 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Control of multi-particle systems, mean-field limits, and applications to deep learning (Steuerung von Mehrteilchensystemen, Mean-Field Limits und Anwendungen für Deep Learning) Project Nº: 530756074 Affiliated Entities: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU, Germany), Catholic University of Korea (CUK, South Korea) Supported by DFG (Deutsche Forschungsgemeinschaft/ German Research Foundation) and NRF. Südkorea-NRF-DFG-2023 programme Duration: […]
Convolutional autoencoders for very low-dimensional parametrizations of nonlinear fluid flow 1. Introduction The control of large-dimensional nonlinear dynamical systems is a challenging task because of the 1. system’s size that means a high demand in computational resources 2. and the nonlinearity that adds model inherent complexity to be resolved by […]
Date: Wed. March 29, 2023: Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Event-Triggered Control Using a Positive Systems Approach Speaker: Prof. Dr. Michael Malisoff Affiliation: LSU, Louisiana State University (USA) […]
Date: Mon. March 27, 2023: Event: FAU DCN-AvH Mini-workshop: Analysis, Numerics and Control Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) 11:00H Title: Null Controllability for Population Dynamics with age, size Structuring and Diffusion Speaker: Prof. Dr. Yacouba […]
Date: Thursday March 16, 2023 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Shape optimization problems in thermal insulation with thin insulating layers Speaker: Paolo Acampora Affiliation: PhD Student from Università degli Studi di Napoli Federico II […]
Date: Wednesday March 15, 2023 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Parabolic trajectories and the Harnack inequality Speaker: Lukas Niebel Affiliation: Ulm University Abstract. In this talk, we will study the Harnack inequality for weak […]
Torsional Rigidity: Classical and new results Torsional rigidity is a key quantity to characterize how a beam responds to applied forces. The higher the torsional rigidity, the harder it is to deform the beam. A natural question arises: which shape for the beam’s cross section yields the highest torsional rigidity? […]
Date: Thursday March 9, 2023 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: A Deep Learning approach to Reduced Order Modeling of Parameter dependent Partial Differential Equations Speaker: Prof. Dr. Paolo Zunino Affiliation: […]
Date: Thursday March 2, 2023 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU DCN-AvH Seminar “Conservation laws on a star-shaped network” Speaker: Prof. Dr. Carlotta Donadello Affiliation: Université de Franche-Comté (France) Abstract. Hyperbolic conservation laws defined on […]
Date: Tuesday February 14, 2023 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Towards a better description of sea states Speaker: Dr. Susanne Støle-Hentschel Affiliation: École Normale Supérieure Paris-Saclay (France) Abstract. In the light of climate change, […]
Date: Tuesday February 14, 2023: Event: FAU DCN-AvH Mini-workshop: Variational Methods, Functional Inequalities, and Shape Optimization Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) 15:00H Title: Fractional Pohozaev Identities Speaker: Dr. Sidy Moctar Djitte Affiliation: Postdoctoral researcher at […]
Date: Thursday February 9, 2023 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: Towards a better description of sea states Speaker: Dr. Guy Foghem Affiliation: Technische Universität Dresden (Germany) Abstract. Within the framework of Hilbert spaces, we […]
Date: Wed. February 1, 2023 Event: FAU MoD Lecture Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Speaker: Prof. Dr. Nick Trefethen Affiliation: University of Oxford This FAU MoD Lecture will have two sessions: [Session 1] Main lecture (10:30H – 11:30H) (On-site / online) […]
Date: Friday, January 20, 2023: Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Consensus-based High Dimensional Global Non-convex Optimization in Machine Learning” Speaker: Prof. Dr. Shi Jin Affiliation: Shanghai Jiao […]
Date: Wed. January 18, 2023 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Lagrangian controllability of the incompressible Navier-Stokes equations” Speaker: Prof. Dr. Franck Sueur Affiliation: Institute of Mathematics of […]
Control, inversion and numerics for Partial Differential Equations (CIN-PDE) Project Nº: M-0548 Affiliated Entities: Fudan University (FDU, Shanghai), Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU, Germany) Supported by Sino-German Mobility Programme from Chinesisch-Deutsches Zentrum für Wissenschaftsförderung located in NSFC (National Natural Science Foundation of China) and DFG (Deutsche Forschungsgemeinschaft/ German Research Foundation) Duration: 2022 […]
Federated Learning: Protect your data and privacy Code: A basic PyTorch implementation of the FedAvg algorithm (GitHub) Federated Learning is becoming an increasingly popular topic in machine learning. But what is it, and why do we need it? To explain what the excitement is all about, this post outlines the […]
Breaking the curse of dimensionality with Barron spaces 1 Introduction Recent advances in computational hardware have enabled the implementation of the set of algorithmic methods known as Deep Learning, whose development nevertheless dates back several decades. In this way, they have emerged in the latest years as the main tool […]
DTN MoDConFlex. Modelling and control of flexible structures interacting with fluids Project/grant No.: 101073558 Affiliated Entities: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Bergische Universität Wuppertal, Tel Aviv University, Universiteit Twente, Université Bourgogne Franche-comté (UBFC), Université de Bordeaux Supported by HORIZON TMA MSCA. Marie Skłodowska-Curie Doctoral-Training-Network Duration: 2023 – 2027 The network brings together 17 […]
Date: Wed. December 07, 2022: Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Gaussian random interface models and discrete Green’s functions” Speaker: Dr. Florian Schweiger Affiliation: Weizmann Institute of Science […]
Stability results for the KdV equation with time-varying delay Introduction The Korteweg-de Vries equation (KdV), is a third-order nonlinear one-dimensional equation given by . It was introduced in [6] to model the propagation of long water waves in a channel. In the last few years, the controllability and stabilization properties […]
Date: Wed. November 30, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Compensated Integrability and Conservation Laws” Speaker: Prof. Dr. Denis Serre Affiliation: Ecole Normale Supérieure de Lyon (France). […]
BaCaTeC. Control and Machine Learning Enrique Zuazua, Miroslav Krstic Supported by HighTech Research between Bavaria and California (BaCaTeC, Bayerisch-Kalifornische Hochschulzentrum) Duration: 2023 – 2025 Machine Learning (ML) is forging a new era in Applied Mathematics (AM), generating rich, intensive, innovative research, insightful new ideas and powerful methods. However, simultaneously, this is […]
Date: Thu. November 24, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Controlling the spread of invasive biological species” Speaker: Prof. Maria Teresa Chiri Affiliation: Department of Mathematics and […]
Date: Wed. November 16, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Ensemble control of quantum systems by adiabatic evolution” Speaker: Prof. Dr. Mario Sigalotti Affiliation: Centre de Recherche […]
Date: Tue. November 14, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Analysis, Numerics and Control” 11:30H Title: Breaking the curse of dimensionality with Barron Spaces Speaker: Antonio Álvarez López Affiliation: Visiting PhD Student from UAM, […]
Summary poster (2022), Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU – Friedrich Alexander Universität, Erlangen – Nürnberg FAU DCN-AvH (Summary poster 2022) View this poster
Project poster (2022), Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU – Friedrich Alexander Universität, Erlangen – Nürnberg FAU DCN-AvH (Project poster version 2022) View this poster
Date: Fri. November 11, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop “Analysis, Numerics and Control” 11:00H Title: Stabilization results for the KdV equation Speaker: Hugo Parada Affiliation: Visiting PhD Student from the Laboratory Jean Kunztmann, […]
Date: Thu. November 10, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Discovering scaling laws for heat transport with convex optimization” Speaker: Prof. Dr. Giovanni Fantuzzi Affiliation: FAU DCN-AvH, […]
Date: Wed. November 2, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Machine learning for MR image reconstruction: From first results to ongoing challenges” Speaker: Prof. Dr. Florian Knoll […]
Introduction to control and machine learning Professors: Enrique Zuazua, Yongcun Song Period: Winter Semester 2022/2023 Date: November to December 2022 ECTS: 05 This course at FAU StudON: https://www.studon.fau.de/studon/goto.php?target=crs_4724699
Date: Wed. October 26, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Theory of homogeneous dynamical systems and their application” Speaker: Prof. Dr. Denis Efimov Affiliation: Inria, Lille – […]
Date: Thu. October 26, 2022 Event: II Workshop on Control Theory and Partial Differential Equations Universidade Federal Fluminense, Brazil Title: Control and Machine Learning Speaker: Our Head Prof. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Abstract. In this lecture we shall present some recent results on the interplay between control and […]
Date: Tue. October 18, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Natural gradient in evolutionary games” Speaker: Prof. Dr. Vladimir Jaćimović Affiliation: Faculty of Natural Sciences and Mathematics, […]
Course: Mathematical Modeling in the Life Sciences Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 winter semester Date: October 2022 – March 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Course: Transport Phenomena Lecturers: Enrique Zuazua, Nicola De Nitti Period: 2022/2023 winter semester Date: October 2022 – March 2023 Location: FAU. Master’s Degree in Computational and Applied Mathematics ECTS: 10 This course at FAU StudON: –
Date: Wed. October 12, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Remarks on the long-time dynamics of 2D Euler” Speaker: Prof. Dr. Theodore Drivas Affiliation: Mathematics Department, Stony […]
Date: Wed. October 5, 2022 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Title: FAU DCN-AvH Seminar “Large-amplitude modulation of periodic traveling waves” Speaker: Prof. Dr. Kevin Zumbrun Affiliation: Department of Mathematics, Indiana University […]
Date: October 03, 2022 Author: Prof. Dr. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany). Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship Source: SIAM News, Society for Industrial and Applied Mathematics. Pittsburgh, Pennsylvania (USA) Two recurring questions pertain to the origin, history, and present state of mathematics. The […]