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X-WR-CALDESC:FAU DCN-AvH. Chair for Dynamics, Control, Machine Learning and Numerics -Alexander von Humboldt Professorship
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DTSTART;TZID=Europe/Berlin:20210908T111500
DTEND;TZID=Europe/Berlin:20210908T112000
DTSTAMP:20211020T083103Z
CREATED:20211020
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SUMMARY:3 days on Evolution PDEs 2021
DESCRIPTION:On fall September 08th. to September 10th., our Head Enrique Zuazua ( https://dcn.nat.fau.eu/enrique-zuazua/ ) will give a course on “Dissipativity, hypocoercivity, decay, memory and control” at the “3 days on Evolution PDEs 2021” at Italy, Aula Magna of Collegio Raffaello (Urbino).\nWHEN?\nOur Head will talk on September 08th, 2021 at 11:20 and September 09, 2021 at 09:10\nATTENDING THIS EVENT\nRegistration is required, sending an email to evolutionpdes@gmail.com\n\nAbstract.\nOften, even when evolution PDEs are of dissipative nature, disclosing its sharp decay properties\nis a complex issue. The problem becomes even more intricate when dealing with numerical approximation schemes aiming to guarantee that the numerical solutions are well-behaved asymptotically, in the sense that they preserve the large time properties of the PDE solutions.\nIn this series of lectures, we will first discuss two paradigmatic examples: partially dissipative\nsystems and Kolmogorov equations, in which we worked in collaboration with K. Beauchard and\nA. Porretta, respectively.\nBoth models present some analogies, related with the need of disclosing the actual impact of partial diffusion on the decay of solutions and its numerical approximations on systems that are,\napparently, of a hyperbolic nature.\nWe shall show how to combine Fourier analysis, control theoretical tools and hypocoercivity techniques to address these issues.\nWe shall also discuss control problems for viscoelastic models, involving memory terms, that induce hidden hyperbolic phenomena.\nFollowing joint work with F. Chaves, Q. Lü, L. Rosier and X. Zhang, we shall show that the model\ncan be written as a coupled parabolic-ODE system. This will allow us to show the relevance of\nemploying moving actuation mechanisms to efficiently control the dynamics of the system.\nWe shall conclude describing a number of open problems and directions of future research.\nPurpose of this Conference\nThe purpose of this conference is to highlight recent developments in the analysis of time-dependent equations, and more generally of evolution problems. The aim is to bring together leading experts working in different fields, whose research interests intersect the scientific topics of the workshop, and to stimulate new interactions and collaborations.\nThe conference will take place in the beautiful renaissance town of Urbino and will consist in 2 mini-courses and several seminars by invited speakers. We plan to discuss various topics concerning partial differential equations, semigroup theory, geometric analysis and control theory.\n \nSCHEDULE\n\nWed. September 8\n9:00 – 9:15. Opening\n11:00 –coffee break\n11:00. E. Zuazua “Dissipativity, hypocoercivity, decay, memory and control” (Part 1)\n11:30 – 13.15. D. Pallara “An introduction to infinite-dimensional analysis” (Part 1)\nLunch\n14:30 – 18:00. Seminars\nThu. September 9\n9:15 –E. Zuazua “Dissipativity, hypocoercivity, decay, memory and control” (Part 2)\n11:00. D. Pallara “An introduction to infinite-dimensional analysis” (Part 2)\n11:00 – 11: 30. Coffee break\nLunch\n14:30 – 18:00. Seminars\nFri. September 10\n9:15 – 13:15. Seminars and closing session\n\n \nMore details at the Official Event page\n\n
URL:https://dcn.nat.fau.eu/events/3-days-on-evolution-pdes-2021/
CATEGORIES:Course,EZuazua,Seminar/Talk,Workshop
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