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SUMMARY:Alexey Samokhin
DTSTART:20210210T162000Z
DTEND:20210210T180000Z
DTSTAMP:20260423T010337Z
UID:GDEq/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/26/">On
  monotonic pattern in periodic boundary solutions of cylindrical and spher
 ical Kortweg-de Vries-Burgers equations</a>\nby Alexey Samokhin as part of
  Geometry of differential equations seminar\n\n\nAbstract\nWe studied\, fo
 r the Kortweg-de Vries Burgers equations on cylindrical and spherical wave
 s\, the development of a regular profile starting from an equilibrium unde
 r a periodic perturbation at the boundary.\n\nThe regular profile at the v
 icinity of perturbation looks like a periodical chain of shock fronts with
  decreasing amplitudes. Further on\, shock fronts become decaying smooth q
 uasi periodic oscillations. After the oscillations cease\, the wave develo
 ps as a monotonic convex wave\, terminated by a head shock of a constant h
 eight and equal velocity. This velocity depends on integral characteristic
 s of a boundary condition and on spatial dimensions.\n\nThe explicit asymp
 totic formulas for the monotonic part\, the head shock and a median of the
  oscillating part are found.\n
LOCATION:https://researchseminars.org/talk/GDEq/26/
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