BEGIN:VCALENDAR VERSION:2.0 X-WR-CALNAME:EventsCalendar PRODID:-//hacksw/handcal//NONSGML v1.0//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:America/New_York LAST-MODIFIED:20240422T053451Z TZURL:https://www.tzurl.org/zoneinfo-outlook/America/New_York X-LIC-LOCATION:America/New_York BEGIN:DAYLIGHT TZNAME:EDT TZOFFSETFROM:-0500 TZOFFSETTO:-0400 DTSTART:19700308T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU END:DAYLIGHT BEGIN:STANDARD TZNAME:EST TZOFFSETFROM:-0400 TZOFFSETTO:-0500 DTSTART:19701101T020000 RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT CATEGORIES:College of Arts and Sciences,Lectures and Seminars DESCRIPTION:On the Mathematical Properties of Some Multi-Scale Traffic Mode ls by Xiaoqian Gong (Amherst College)聽 Abstract: In this talk, we examine the mathematical properties of traffic flow models across microscopic, me soscopic, and macroscopic scales. At the microscopic level, we analyze the well-posedness of the classical Bando Follow-the-Leader (Bando-FtL) model , as well as its time-delayed and nonlocal extensions. As an application o f the microscopic car-following models, we also discuss optimal cruise con trol strategies for traffic smoothing. From a mesoscopic viewpoint, we rig orously derive the mean-field limit of a finite-dimensional hybrid system that captures multi-lane, multi-class traffic dynamics involving both huma n-driven and autonomous vehicles. At the macroscopic scale, we briefly add ress the well-posedness of a nonlocal GARZ model. Numerical simulations an d field experiment results will also be presented.\nEvent page: https://ww w.umassd.edu/events/cms/cscdr-seminar-on-the-mathematical-properties-of-so me-multi-scale-traffic-models-.php\nEvent link: https://www.cscdr.umassd.e du/seminars X-ALT-DESC;FMTTYPE=text/html:

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On the Mathematical Properties of Some Multi-Scale Traffic Models
by Xiaoqian Gong (Amherst College )聽

Abstract: In this talk\, we examine the mathematical propertie s of traffic flow models across microscopic\, mesoscopic\, and macroscopic scales. At the microscopic level\, we analyze the well-posedness of the c lassical Bando Follow-the-Leader (Bando-FtL) model\, as well as its time-d elayed and nonlocal extensions. As an application of the microscopic car-f ollowing models\, we also discuss optimal cruise control strategies for tr affic smoothing. From a mesoscopic viewpoint\, we rigorously derive the me an-field limit of a finite-dimensional hybrid system that captures multi-l ane\, multi-class traffic dynamics involving both human-driven and autonom ous vehicles. At the macroscopic scale\, we briefly address the well-posed ness of a nonlocal GARZ model. Numerical simulations and field experiment results will also be presented.

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DTSTAMP:20260425T015924 DTSTART;TZID=America/New_York:20260422T130000 DTEND;TZID=America/New_York:20260422T140000 LOCATION:TXT 105 SUMMARY;LANGUAGE=en-us:CSCDR seminar: On the Mathematical Properties of Som e Multi-Scale Traffic Models UID:a93f13e2f513d9a125a987f4f12f2934@www.umassd.edu END:VEVENT END:VCALENDAR