BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Singularities of Burgers’ equation in the complex plane - Scott 
 McCue (Queensland University of Technology)
DTSTART:20221101T112000Z
DTEND:20221101T121000Z
UID:TALK185192@talks.cam.ac.uk
DESCRIPTION:Following on from previous work\, we analyse solutions to Burg
 ers&rsquo\; equation in the complex plane\, concentrating on the dynamics 
 of the complex singularities and their relationship to the solution on the
  real line. We use a variety of tools\, including matched asymptotic expan
 sions\, exponential asymptotics\, exact solutions\, steepest descents and 
 rational approximations. The small-time limit highlights how infinitely ma
 ny singularities are born at $t = 0$ and how they orientate themselves to 
 lie increasingly close to anti-Stokes lines in the far-field of the inner 
 problem. This inner problem also reveals whether or not the closest singul
 arity to the real axis moves toward the axis or away. Further analysis cha
 racterises the motion of the singularities for intermediate and late times
 . While Burgers&rsquo\; equation has an exact solution\, we deliberately a
 pply a mix of techniques in our analysis in an attempt to develop methodol
 ogy that can be applied to other nonlinear partial differential equations 
 that do not.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR