Seminar by Martin Gugat: An introduction to the turnpike phenomenon 18. November 202419. November 2024 On November 28, Martin Gugat will give a lecture in Aachen for the graduate school EDDy (Energy, Entropy, and Dissipative Dynamics). The lecture with the title ‚An introduction to the turnpike phenomenon with examples and links to recent results‘ will take place from 10:45 to 11:45 am, at Pontdriesch 14, room 008 SeMath (host: Michael Herty). Click here for the announcement!
MOG 2024 Mathematics of Gas Transport and Energy 11. Oktober 202430. Oktober 2024 On October 10th and 11th, 2024, we organized the fourth edition of the international conference „Mathematics of Gas Transport and Energy (MOG)“ in the historic city of Regensburg, Germany.The two-day conference focused on connecting leading experts in applied mathematics with leading stakeholders from the industry and the public sector concerned with the energy system’s transition. We had fruitful discussions between academic partners and representatives from other sectors on today´s broad challenges in the energy sector, taking into account the transition from natural gas to hydrogen networks, its coupling with electricity, and related topics.Invited speakers: 🔹 Miguel Anjos (University of Edinburgh) 🔹 Merve Bodur (University of Edinburgh) 🔹 Ronaldo M. Colombo (University of Brescia) 🔹 Jochen Deuerlein (3S Consult) 🔹 Timm Faulwasser (TU Hamburg) 🔹 Simone Göttlich (University of Mannheim) 🔹 Holger Heitsch (WIAS Berlin) 🔹 Erich Maurer (Energieagentur Nordbayern) 🔹 Jaap Pedersen (Zuse Institute Berlin) 🔹 Lena Salm (TenneT TSO) 🔹 Johannes Schiffer (BTU Cottbus) 🔹 Tom Streubel (PSI Software) 🔹 Martin Styblo (PSIG) 🔹 Tabea Tscherpel (TU Darmstadt) 🔹 Ann-Kathrin Wiertz (FAU Erlangen-Nürnberg)Thanks to all speakers, attendees, and the organizing team from the CRC TRR 154, funded by the German Science Foundation, for making this event possible!
Poster Presentation at 2024 Conference on Control, Inversion and Numerics for PDEs, Fudan University, Shanghai, China 10. Oktober 202411. November 2024 From October 8–10, 2024, Michael Schuster presented a poster on the topic „Nodal Control and the Turnpike Phenomenon“ during the 2024 Conference on Control, Inversion, and Numerics for PDEs, held at Fudan University in Shanghai, China About the project: The goal of this project is to prove turnpike results for optimal control problems in gas networks. We will consider nodal control since the control action takes place at compressors that are located at a small number of points in the networks. Probabilistic constraints are included since they allow to take into account the uncertainty of e.g. the customer demand. We will also scrutinize switching conditions that arise e.g in the decision to to open or close a gas valve. Since the turnpike phenomenon relates the dynamic optimal states to steady states, we will also study steady gas flows on networks with intertwined cycles (view the poster here).
Invited Talk at Seoul National University (SNU), Seoul, South Korea 2. Oktober 20243. November 2024 The talk about „Optimal Control for ODEs and PDEs: The Turnpike Phenomenon“ was invited by Prof. Seung-Yeal Ha and Prof. Dongnam Ko.The turnpike phenomenon for dynamic optimal control problems provide insights about the relation between the dynamic optimal control and the solution of the corresponding static optimal control problem. In this talk we give an overview about different turnpike structures for optimal control problems with ordinary differential equations (ODEs) and partial differential equations (PDEs).For optimal control problems with ODEs an exponential turnpike inequality can be shown by basic control theory. These results can be extended to an integral turnpike inequality for optimal control problems with linear hyperbolic systems. For an optimal control problem with non differential tracking term in the objective function, that is exactly controllable, we can show under certain assumptions that the optimal system state is steered exactly to the desired state after finite time. Further we consider an optimal control problem for a hyperbolic system with random boundary data and we show the existence of optimal controls. A turnpike property for hyperbolic systems with random boundary data can be shown numerically.
Christine Bernadi Lecture 29. September 2024 The TRR 154 and the department of mathematics of TU Darmstadt organize jointly a series of annual lectures in honor of Christine Bernadi, an inspiring female applied mathematician. 23 October 2024, 5:15 pm: „Mathematics of Nonlinear Acoustics: Modeling – Analysis – Numerics – Inverse Problems“ by Barbara Kaltenbacher. Link: https://www.mathematik.tu-darmstadt.de/fb/aktuelles/christine_bernardi_lectures/christine_bernardi_lectures.de.jsp
Doctoral Days 2024 27. September 202422. Oktober 2024 The Doctoral Days, organized by our Young Researcher Council, took place in Nuremberg at the end of September 2024. Our doctoral researchers had a fantastic time engaging in insightful discussions, networking with peers, taking soft skill courses, and visiting leading companies like Siemens Energy and Uniper.
Thematic session on „Control of gas networks“organized by Martin Gugat (FAU Erlangen, Germany) 29. August 2024 Martin Gugat organized a thematic session on „Control of gas networks“ at the conference X Partial differential equations, optimal design and numerics (Benasque Science Center, Aug 18 – Aug 30, 2024). Speakers: Jan Giesselmann: (Non)-synchronization of boundary observers for wave equations Jan Sokolowski: Topological Derivatives for Control of Gas Networks Michael Schuster: Location Problem for Compressor Stations in Pipeline Networks Martín Hernández: Random Batch method and emergence of domain decomposition Martin Gugat: Isothermal flow in gas networks: Synchronization of observer systems Link: https://www.benasque.org/2024pde/cgi-bin/talks/allprint.pl
Summer School on Optimization, Uncertainty, and AI 12. August 2024 We just wrapped up the TRR 154 Summer School on Optimization, Uncertainty, and AI in Hamburg, held from August 7th to 9th, 2024.https://lnkd.in/dYf_ZZpVOur sessions included insightful lectures from leading experts in the field, complemented by engaging discussions in a collaborative atmosphere.A big thank you to our exceptional speakers, Caroline Geiersbach, Martin Gugat, René Henrion, Michael Stingl, and Hans Georg Zimmermann.Special thanks to the organizers Caroline Geiersbach and Winfried Wollner, and to the Research Training Group GRK 258 for their support.
Session „Optimization of Gas Networks“ at ISMP 2024 26. Juli 202426. Juli 2024 Lars Schewe organized the session „Optimization of Gas Networks“ at the 25th International Symposium on Mathematical Programming (ISMP 2024) on 25 July 2024 with the following talks: „Adjustable Robust Nonlinear Network Design under Demand Uncertainties“ by Julia Grübel „Mixture of Gases on Networks“ by Pascal Börner „A tailored interior point method for fast optimization on gas networks“ by Rowan Turner „Optimization methods for the analysis of gas markets“ by Lars Schewe