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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:20231102T110000
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SUMMARY:Hybrid parabolic-hyperbolic property for heat equations with memory
DESCRIPTION:Next Thursday November 2, 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: Hybrid parabolic-hyperbolic property for heat equations with memory\nSpeaker: Prof. Dr. Yubiao Zhang\nAffiliation: Postdoctoral Researcher at FAU DCN-AvH. Humboldt Research Fellowship for Experienced Researcher \nAbstract. This talk aims to introduce the hybrid parabolic-hyperbolic property for the heat equation with a real analytic memory kernel in lower order term. More precisely, we develop a decomposition for the flow of the equation with three parts: the heat-like component, the wave-like component, and a good remainder. Moreover, the heat-like component has the smoothing effect of infinite order, while the wave-like one owns the propagation of singularities along the time direction. From this decomposition, we can see that the flow has strong heat-like effect around the initial time, and strong wave-like effect at positive time. This talk is based on joint works with Gengsheng Wang and Enrique Zuazua. \nWHEN\nThu. November 2, 2023 at 11:00H (Berlin time)\nWHERE\nFAU. Friedrich-Alexander-Universität Erlangen-Nürnberg.\nRoom 01.019\nElektrotechnik building | GPS-Koord.: 49.573008N, 11.028336E\nCauerstraße 7 – Turm B, 91058 Erlangen. Germany\n
URL:https://dcn.nat.fau.eu/events/fau-dcn-avh-jr-seminar-hybrid-parabolic-hyperbolic-property-for-heat-equations-with-memory/
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CATEGORIES:FAU DCN-AvH Seminar,Seminar/Talk
LOCATION:FAU - Faculty of Sciences
ATTACH;FMTTYPE=image/png:https://dcn.nat.fau.eu/wp-content/uploads/FAUDCNAvHJrSeminar-yZhang-02nov2023.png
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