BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//UM//UM*Events//EN
CALSCALE:GREGORIAN
BEGIN:VTIMEZONE
TZID:America/Detroit
TZURL:http://tzurl.org/zoneinfo/America/Detroit
X-LIC-LOCATION:America/Detroit
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20070311T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20071104T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260929T150501
DTSTART;TZID=America/Detroit:20261026T160000
DTEND;TZID=America/Detroit:20261026T170000
SUMMARY:Livestream / Virtual:Long time asymptotics of the generalized soliton gas for the mKdV equation
DESCRIPTION:We analyze a new class of solutions of the modified KdV equation introduced by Dyachenko\, Zakharov\, and Zakharov\, and which can be interpreted as a soliton gas.  These solutions are characterized by a Riemann-Hilbert problem which arises as the limit $N\to \infty$ of a sequence of $2N$-soliton RH problems\, where the solitons display two different triangularity in the jumps. The limiting RH problem belongs to a novel class of problems\, where the jump matrices do not have any zero entry (as opposed to the classical upper/lower triangular setting).\n We show that the initial profile of such a gas solution is approaching a cnoidal wave solution for $x\to \pm \infty$ with different phase shifts\, and we establish an asymptotic description of the gas of solitons for large times that is valid over the entire spatial domain\, in terms of Jacobi elliptic functions\, with slowly modulated phase shifts as time varies from $-\infty$ to $+\infty$.\nThis is a joint work with Ken McLaughlin (Tulane U.) and Robert Jenkins (UCF).\n\n*To request access to the Zoom room\, please contact Nathan Hayford at nhayford [ at ] umich.edu.*
UID:153062-21915026@events.umich.edu
URL:https://events.umich.edu/event/153062
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location
CONTACT:
END:VEVENT
END:VCALENDAR