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SUMMARY:S.M.Churilov (Institute of Solar-Terrestrial Physics\, Irkutsk)
DTSTART:20230302T110000Z
DTEND:20230302T120000Z
DTSTAMP:20260423T005825Z
UID:mmandim/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/52/"
 >Weakly-nonlinear stage of instability development in shear flows with an 
 inflection-free velocity profile and thin pycnocline</a>\nby S.M.Churilov 
 (Institute of Solar-Terrestrial Physics\, Irkutsk) as part of Mathematical
  models and integration methods\n\n\nAbstract\nWeakly stratified flows of 
 the class under study have a wide 3D spectrum of unstable waves with very 
 close growth rates. What is more\, their phase velocities differ little an
 d therefore their individual critical layers merge into a common one. On t
 his basis\, nonlinear evolution equations describing the perturbation deve
 lopment are derived and analyzed. Their solutions demonstrate that\, throu
 ghout a weakly nonlinear stage of development\, wave amplitudes grow explo
 sively. During the first (three-wave) phase\, the most rapidly growing are
  low-frequency waves whereas at the next phase\, when numerous and diverse
  higher-order wave interactions come into play\, the growth of high-freque
 ncy waves is accelerated and they overtake low-frequency waves. The result
 s obtained are illustrated by numerical calculations for some ensembles of
  waves.\n
LOCATION:https://researchseminars.org/talk/mmandim/52/
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