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VERSION:2.0
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SUMMARY:Frozen patterns in a bearing field: applications to meteorological
  problems
DTSTART:20131113T171500
DTEND:20131113T180000
DTSTAMP:20260512T015614Z
UID:3de95681c393b624e7f12e727985504731d32fbb9435236e627b4d65
CATEGORIES:Conferences - Seminars
DESCRIPTION:Olga Rozanova (Moscow State University)\nHamiltonian Dynamics 
 SeminarAbstract: We study possible trajectories of a long time existing vo
 rtex in a model of the atmosphere dynamics\, where the vortex can be inter
 preted as a tropical cyclone. The model can be obtained from the system of
  primitive equations governing the motion of air over the Earth’s surfac
 e after averaging over the height. We associate with a cyclone a special c
 lass of smooth solutions having a form of a localized steady non-singular 
 vortex moving with a bearing field. We show that the solutions satisfy the
  equations of the model either exactly or with a discrepancy which is smal
 l in a neighborhood of the trajectory of the center of vortex. We show bot
 h analytically and numerically that the trajectory of a localized vortex k
 eeps the features of trajectory of vortex with a linear profile of velocit
 y\, where the exact solution can be obtained. We discuss a possibility of 
 existence of another structures (steady or unsteady) moving with a bearing
  field for different modifications of the model.
LOCATION:MA A3 31
STATUS:CONFIRMED
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