BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Dispersive wave behavior in first-order hyperbolic systems - David
  Ketcheson (King Abdullah University of Science and Technology (KAUST))
DTSTART:20220928T143000Z
DTEND:20220928T153000Z
UID:TALK180380@talks.cam.ac.uk
DESCRIPTION:First-order hyperbolic PDEs are generally conceived as the van
 ishing-viscosity limit of a dissipative system\; their solutions generical
 ly exhibit shock singularities and entropy decay.&nbsp\; In contrast\, dis
 persive wave equations often exhibit solitary waves and dispersive shock w
 aves.&nbsp\; Strikingly\, first-order systems with periodically-varying co
 efficients can exhibit solitary wave formation as well as shock formation.
 &nbsp\; I will review what is known about such systems\, including our und
 erstanding of the effective dispersive mechanisms and criteria for dispers
 ive- or shock-like behavior of solutions.&nbsp\; I will show examples of s
 olitary wave formation and shock suppression in applications including ela
 sticity\, non-dispersive water wave models\, and compressible gas dynamics
 .&nbsp\; We will see that\, in an appropriate regime\, these systems seem 
 to behave like near-integrable dispersive wave models.&nbsp\; Many interes
 ting questions about them remain to be explored.
LOCATION:Seminar Room 2\, Newton Institute
END:VEVENT
END:VCALENDAR