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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:20230710T140000
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SUMMARY:Large Data Solutions to 1-D Hyperbolic Systems, Ill-Posedness, and Convex Integration
DESCRIPTION:Next Monday July 10, 2023:\nOrganized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)\nTitle: Large Data Solutions to 1-D Hyperbolic Systems, Ill-Posedness, and Convex Integration\nSpeaker: Dr. Sam Krupa\nAffiliation: Max Planck Institute for Mathematics in the Sciences (Leipzig)\nAbstract. For hyperbolic systems of conservation laws in one space dimension endowed with a single convex entropy, it is an open question if it is possible to construct solutions via convex integration. Such solutions, if they exist, would be highly non-unique and exhibit little regularity. In particular, they would not have the strong traces necessary for the nonperturbative L^2 stability theory of Vasseur. Whether convex integration is possible is a question about large data, and the global geometric structure of genuine nonlinearity for the underlying PDE. In this talk, I will discuss recent work which shows the impossibility, for a large class of 2×2 systems, of doing convex integration via the use of T_4 configurations. Our work applies to every well-known 2×2 hyperbolic system of conservation laws which verifies the Liu entropy condition. This talk is based on joint work with László Székelyhidi.\nWHERE?\nOn-site / Online\n[On-site]\nRoom 01.382.Department Mathematik.\nFAU, Friedrich-Alexander-Universität Erlangen-Nürnberg.\nCauerstraße 11, 91058 Erlangen.\nGPS-Koord. Raum: 49.574043N, 11.030950E\n[Online]\nZoom meeting link\nMeeting ID: 614 4658 1599 | PIN code: 914397\n  \nThis event on LinkedIn\n \nDon’t miss out our last news and connect with us!\nFAU DCN-AvH: LinkedIn | Twitter | Instagram\n \n
URL:https://dcn.nat.fau.eu/events/large-data-solutions-to-1-d-hyperbolic-systems-ill-posedness-and-convex-integration/
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CATEGORIES:FAU DCN-AvH Seminar,Seminar/Talk
LOCATION:FAU - Faculty of Sciences
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