On Friday December 1, 2023 our postdoctoral researcher Dr. Maria Filipkovska will talk on “Lagrange and Lyapunov stability of degenerate differential equations” at the Dynamical systems and control seminar organized at Julius-Maximilians-Universität Würzburg. Abstract. The development of modern technologies leads to the appearance of various types of nonlinear mathematical models […]
Lagrange and Lyapunov stability of degenerate differential equations
388 posts
Next Thursday November 30, 2023 our Visiting Scientist Prof. Ahmet Ozkan Ozer will talk on “Advances in Controlling Magnetizable Piezoelectric Systems: PDE Models, Model Reductions, and Interactive Simulations” organized at FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg. Asbtract. Magnetizable piezoelectric materials, pivotal in various engineering applications, exhibit intricate interactions between mechanical and electromagnetic […]
Schöne Mathematik für Künstliche Intelligenz Last month, FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg interviewed our Head Prof. Enrique Zuazua on “Beautiful mathematics for Artificial Intelligence” (Schöne Mathematik für Künstliche Intelligenz) that appeared at the FAU Magazin 2023/2024: This the English version of the original interview (in German) October 30, 2023 Three questions for […]
Date: Wed. November 22, 2023 Event: FAU MoD Lecture Series (Special double session. November 2023) Organized by: FAU MoD, the FAU Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) First session: 13:45H FAU MoD Lecture: Prospects of formalized mathematics Speaker: Prof. Dr. Michael Kohlhase Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg. Carnegie […]
On November 23 – 27, our Head Prof. Enrique Zuazua is giving a historical introduction to Control and Machine Learning and then talking on control of finite dimensional systems and Supervised Learning by Control Methods at the Tutorial lecture series on “Advanced Topics Systems Control” organized (online) from November 23 […]
Next Thursday November 23, 2023 our postdoctoral researcher Dr. Timothée Crin-Barat will talk on “Hyperbolic approximations in fluid mechanics: Hypocoercivity and hybrid Besov spaces” at the Nanjing University of Aeronautics and Astronautics. Abstract. We investigate the relaxation limits associated with partially dissipative systems in the context of fluid mechanics. As […]
Next Monday November 20, 2023 our postdoctoral researcher Dr. Timothée Crin-Barat will talk on “A survey on partially dissipative systems: global well-posedness and strong relaxation limit in the critical regularity setting” at the Nanjing University of Aeronautics and Astronautics, China. Abstract. In this talk, we review recent results on so-called […]
On November 17, 2023 our Head Prof. Enrique Zuazua will talk on Control and Machine Learning at the ICMAM Latin America Satellite Conference on Data Science, AI, and Machine Learning organized by ICMAM Latin America. Abstract. In this lecture we shall present some recent results on the interplay between control […]
Next Thursday November 9, 2023 our postdoctoral researcher Dr. Timothée Crin-Barat will talk on “Hyperbolic Approximation of the Navier-Stokes-Fourier system: hypocoercivity and hybrid Besov spaces” at the conference “Critical phenomena in nonlinear partial differential equations, harmonic analysis and functional inequalities” in honour of Prof. Takayoshi Ogawa on his 60th birthday. […]
On November 7, 2023 our Head Prof. Enrique Zuazua will talk on “Optimal placement of sensors and actuators” at the “Control of Partial Differential Equations in Hauts-de-France” (CPDEs2023) organized by UPHF, Ulille, ULCO on November 6-8, 2023 in France. Asbtract. In this lecture we shall discuss the problem of sensor […]
On Mon. November 6, 2023 our Visiting Scientist Prof. Ahmet Ozkan Ozer will talk on “Recent progresses and open problems in controlling magnetizable piezoelectric systems” at the “Control of Partial Differential Equations in Hauts-de-France” (CPDEs2023) organized by UPHF, Ulille, ULCO on November 6-8, 2023 in France. Asbtract. Magnetizable piezoelectric materials […]
Limits of the stabilization of a networked hyperbolic system with a circle 1 Introduction In this post, we discuss the exponential stability of a networked hyperbolic system with a circle. In many applications, the graphs of these networks contain cycles, such as pipeline networks for gas transportation (see, for example, […]
Date: Thu. November 02, 2023 Event: FAU DCN-AvH Jr. Seminar Organized by: FAU DCN-AvH at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Hybrid parabolic-hyperbolic property for heat equations with memory Speaker: Prof. Dr. Yubiao Zhang Affiliation: Postdoctoral Researcher at FAU DCN-AvH. Humboldt Research Fellowship for Experienced Researcher Abstract. This talk aims to introduce the hybrid […]
Join us this Saturday October 21, 2023 at the #NdW23! Our FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship will be at the “Lange Nacht der Wissenschaften” (Long Night of Sciences) in Erlangen, Fürth and Nürnberg with: Optimale Steuerung einer Schafherde By our […]
Next Thursday October 19, 2023 our Senior scientist Prof. Dr. Giovanni Fantuzzi will talk on “Data-driven system analysis: Polynomial optimization meets Koopman” at the Aerodynamics & Control Seminars, hosted by the Department of Aeronautics at Imperial College London. Abstract. Questions about stability, long-time behaviour, and the effect of uncertainty are […]
On October 13th, 2023 the Bavarian University Center for Latin America (BAYLAT, Bayerische Hochschulzentrum für Lateinamerika) and our Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship (FAU DCN-AvH) at Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) are hosting a joint virtual-meeting to present potential Bavaria-Latinamerican collaborations in the area […]
Date: Wed. October 11, 2023 Event: FAU MoD Lecture Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Free boundary regularity for the obstacle problem Speaker: Prof. Dr. Alessio Figalli Affiliation: ETH Zürich, Switzerland Abstract. The classical obstacle problem consists of finding […]
Stability of hyperbolic systems with non-symmetric partial dissipation Introduction In this post, we report new results for -components linear hyperbolic systems in of the type The unknown () depends on the time variable and on the space variable , is a symmetric matrix and is a semidefinite positive matrix […]
Date: Tue. September 19, 2023 Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks Speaker: Prof. Xue-Cheng Tai Affiliation: Norwegian Research Centre Abstract. For problems in image processing and many other fields, a large class of effective neural networks […]
Date: Thursday September 14, 2023 at 16:00H 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: Global existence for the 2D Kuramoto-Sivashinsky equation Speaker: Prof. Dr. Anna Mazzucato Affiliation: Penn State University […]
Next Friday September 15, 2023 (at 10:00H local time) our Head Prof. Enrique Zuazua will talk on “Control, Cybernetics and Artificial Intelligence” organized by the Science and Technology Association at Jilin University (China). Abstract. Systems control, or cybernetics, according to the term first coined by Ampère and later popularized by […]
Neural ODEs for interpolation and transport: From tight to shallow Introduction We consider in our work residual neural networks (ResNets) which take the form for some initial input . The states are the output after each layers, with being the final output. The depth of the neural network is the […]
Next Friday August 25, 2023 our postdoctoral researcher Michael Schuster, will talk on “Optimal Boundary Control for the semilinear Transport Equation under Uncertainty: A Turnpike Result” at ICIAM 2023 TOKYO, the 10th International Congress on Industrial and Applied Mathematics on August 20-25th, 2023. Abstract. We show an integral turnpike result […]
Date: Tue. August 1 – Fri. August 4, 2023 Event: CIN-PDE 2023 Erlangen-Shanghai. Workshop on Control, Inversion and Numerics for PDEs. Organized by: FAU MoD, Research Center for Mathematics of Data and the FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) and the […]
Combined convection and diffusion in a network. A numerical analysis. The problem: a contaminant in a network of water pipes Imagine that there is a network of pipes full of water. The water is flowing from some source nodes (say, some water plants) to some destination nodes (say, people’s homes). […]
Analysis, control, and singular limits for hyperbolic conservation laws Author: Nicola de Nitti Date: Monday July 24, 2023 PhD Thesis: Analysis, control, and singular limits for hyperbolic conservation laws (July 24, 2023) Abstract. The main focus of this thesis is on the study of singular limits related to scalar conservation […]
Next July 27, 2023 our postdoctoral researcher Michael Schuster, will talk on “Probabilistic Constrained Optimization on Gas Networks” at ICSP 2023, the XVI International Conference Stochastic Programming on July 24-28th, 2023. Abstract. Uncertainty often plays an important role in gas transport and probabilistic constraints are an excellent modeling tool to […]
Next Monday, July 17, 2023: Event: FAU DCN-AvH Mini-workshop: Analysis, Numerics and Control 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) 11:00H Title: Stability and genericity in affine optimal control Abstract. For some applications is better […]
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach Motivation This post shows the source code from the paper “The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach”. (See reference below) We study the combination of the alternating direction method of multipliers (ADMM) with […]
Master Thesis: “Machine Learning: Publisher Recommendation Model” Author: Mohammed Quaidjohar Husain Supervisor: Prof. Dr. DhC. Enrique Zuazua Date: July 7, 2023 The exponential rise of digital content in recent years, along with the spread of inter- net platforms, has led to an excessive influx of data from all sources, which […]
Date: Mon. July 10, 2023 at 14:00H 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: Large Data Solutions to 1-D Hyperbolic Systems, Ill-Posedness, and Convex Integration Speaker: Dr. Sam Krupa Affiliation: Max Planck Institute for […]
Date: Thu. July 6, 2023 Event: FAU MoD Lecture Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: Physics-Based and Data-Driven-Based Algorithms for the Simulation of the Heart Function Speaker: Prof. Dr. Alfio Quarteroni Affiliation: Politecnico di Milano, Milan, Italy and Ecole […]
Reinforcement learning as a new perspective into controlling physical systems Introduction Optimal control addresses the problem of bringing a system from an initial state to a target state, like a satellite that we want to send into orbit using the least possible amount of fuel. Since the last century, mathematics […]
Date: Fri. June 30, 2023: Event: FAU DCN-AvH Mini-workshop: Analysis, Numerics and Control 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) 11:35H Title: Stability of Elastic Systems with Local Damping Speaker: Prof. Dr. Qiong Zhang Affiliation: […]
Null controllability for population dynamics with age, size structuring and diffusion 1. Motivation and description of age, size structured model 1.1. Motivation Knowing the mechanisms of tumor growth can be useful for developing treatments. To mathematically describe its evolution from a global point of view, we can use a so-called […]
Date: Wed. June 21, 2023 at 16:00H 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: Differentiable Physics Simulations for Deep Learning Speaker: Prof. Dr. Nils Thürey Affiliation: TUM, Technical University of Munich Abstract.This talk focuses […]
Date: Wed. June 14, 2023 at 15:45H 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: Understanding the Role of Network Structure in Controlling Complex Networks Speaker: Prof. Dr. Jorge Cortes Affiliation: UC San Diego Abstract. […]
Date: Mon. June 5, 2023 at 11:00H 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: Learning of Dynamic Processes Speaker: Prof. Dr. Juan-Pablo Ortega Affiliation: Nanyang Technological University (Singapore) Abstract. The last decade has seen […]
The FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) is looking for several PhD and PostDocs on the topics: -Machine Learning and Control Theory -Long-time asymptotics of partial differential equations (PDE) -Numerical analysis of PDE -Control and Optimal Design -PDEs in networks Join […]
Math Crash Course FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: 2023 _ The math final exams are coming up and you’re still unsure? Don’t worry, with our Math Abi Crash Course, we can support you in mastering the Math Abi! In this course, we will work together on past year’s […]
Next May 31, 2023 our Head Prof. Enrique Zuazua will talk on “Control, Cibernética e Inteligencia Artificial” at the Coloquio Virtual Latinoamericano: Control, Cibernética e Inteligencia Artificial organized by CRC, Computational Science Research at San Diego State University (USA). Abstract. El control de sistemas, o la cibernética, según el término […]
Date: Tue. May 30, 2023 Event: FAU MoD Lecture Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) FAU MoD Lecture: From Physics-Informed Machine Learning to Physics-Informed Machine Intelligence: Quo Vadimus? Speaker: Prof. Dr. George Em Karniadakis (GS h-index 129) The Charles Pitts Robinson and […]
Date: Fri. May 26, 2023: Event: FAU DCN-AvH Mini-workshop: Analysis, Numerics and Control 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) 14:00H Title: Convex functions and its applications Speaker: Prof. Dr. Çetin Yildiz Affiliation: Visiting Scientist […]
On May 22, 2023 our Head Prof. Enrique Zuazua will talk on “Controllability of Neural Differential Equations” at the 4th AFOSR Monterey Training Workshop on Computational Issues in Nonlinear Control-Topics organized on May 22-24, 2023 in California thanks to Air Force Office of Scientific Research (AFOSR) and University of California, […]
Master Thesis: “Gradient Descent on Wide Neural Networks and Federated Learning” Author: Gisele Stephanie Otiobo Supervisor: Prof. Dr. DhC. Enrique Zuazua Date: May 20, 2023 Deep neural networks are very complex and difficult to understand due to their intricate structure and a vast number of parameters. The relationship between parameters […]
Next Wed. May 17, 2023 at 19:00H our Head Prof. Enrique Zuazua will talk on “Numerics, Dynamics, Control and Machine Learning” at the Seminario de EDP e Matematica Aplicada organized by UFF, UFRJ, LNCC, U. Sevilla, UdeC and UEM (Brazil, Portugal, Spain, Peru, Chile). Abstract. In this lecture we shall […]
Inria International Chairs holder In May 2023, Prof. Enrique Zuazua has been awarded as a Holder of Inria International Chair to set up/reinforce an existing collaboration with the Inria teams. Topic: Control and Scientific Machine Learning Years: 2023-2027 • Check the the holders (2023) of Inria International Chairs. _ Don’t […]
Date: Thursday, May 11, 2023: Event: FAU DCN-AvH mini-workshop: Analysis, Numerics and Control 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) 14:00H Title: Optimal control for suppression of singularity in chemotaxis Speaker: Prof. Dr. Weiwei Hu […]
Next May 11, 2023 at 10:10H our Head Prof. Enrique Zuazua will talk on “Control and Machine Learning” at the conference Optimization and Control in Burgundy that aims to gather mathematicians from the two fields Optimization and Control to promote new exchanges and collaborations organized from May 9th-11st, 2023 at […]
On Tuesday May 9, 2023 our postdoctoral researcher Michael Schuster, will talk on “Nodal Control and Probabilistic Constrained Optimization using the Example of Gas Networks” at Kolloqium Mathematik organized by the Department Mathematik at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany). Abstract. Uncertainty often plays an important role in gas transport and probabilistic […]