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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:20210308T080000
DTEND;TZID=Europe/Berlin:20210308T180000
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SUMMARY:Unilateral bounds for nonlinear semigroups and time-inversion
DESCRIPTION:On March 8th, our Head Enrique Zuazua ( https://dcn.nat.fau.eu/zuazua/ ) will be talking on the ‘Geometric and functional inequalities and applications’ Seminar Series about: Unilateral bounds for nonlinear semigroups and time-inversion\nAbstract. Some classical nonlinear semigroups arising in mechanics induce unilateral bounds on solutions. Hamilton–Jacobi equations and 1-d scalar conservation laws are classical examples of such nonlinear effects: solutions spontaneously develop one-sided Lipschitz or semi-concavity conditions. When this occurs the range of the semigroup is unilaterally bounded by a threshold. On the other hand, in practical applications, one is led to consider the problem of time-inversion, so to identify the initial sources that have led to the observed dynamics at the final time.\nIn this lecture we shall discuss this problem answering to the following two questions: On one hand, to identify the range of the semigroup and, given a target, to characterize and reconstruct the ensemble of initial data leading to it. Illustrative numerical simulations will be presented, and a complete geometric interpretation will also be provided. We shall also present a number of open problems arising in this area and the possible link with reinforcement learning.\nTO ATTEND TO THIS TALK Missed this? Find the recording below!\nWHEN?\nMarch 8th, 2021 at 15:00H (UTC / 09:00H EST)\nWHERE?\nRequest the Zoom link to geometricinequalitiesandpdes@gmail.com\n\nSee more at this Weekly Seminar series page\n
URL:https://dcn.nat.fau.eu/events/unilateral-bounds-for-nonlinear-semigroups-and-time-inversion/
CATEGORIES:EZuazua,Seminar/Talk
LOCATION:Worldwide
ATTACH;FMTTYPE=image/png:https://dcn.nat.fau.eu/wp-content/uploads/talk-EZuazua-08mar2021.png
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