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SUMMARY:Asymmetric Travelling Capillary-Gravity Waves
DTSTART:20251121T141500
DTSTAMP:20260506T180756Z
UID:622ca26718009842e2a09c92f3c91511941bac932b74b99a899530ce
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Karl Johan Douglas Svensson Seth (NTNU\, Trondheim – No
 rway)\nAbstract\nPeriodic travelling waves that solve the capillary-gravit
 y Whitham equation have been fully characterised in the case of small and 
 even waves. This characterisation is complemented by the work presented in
  this talk dealing with small asymmetric periodic travelling waves. Such a
 symmetric waves are far more scarce than the even ones and can only be con
 structed in certain cases for weak surface tension. The method also genera
 lises in a straightforward way to a class of similar equations for which w
 e either can prove the existence of or non-existence of asymmetric solutio
 ns. However\, the proof relies on some technical calculations that are dif
 ferent for each equation. We discuss how this can be done for the Babenko 
 equation\, which is equivalent to the full water wave problem\, to determi
 ne the existence of small amplitude Capillary-Gravity Waves.
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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