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SUMMARY:Rectifying a deep water model for water waves.
DTSTART:20220429T141500
DTEND:20220429T151500
DTSTAMP:20260407T051418Z
UID:0690e2745889b60aee7900008da57ff57431382d8e36e388c68b96ec
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Vincent Duchêne\, Universiy of Rennes (France).\nIn thi
 s talk we will discuss the "WW2" model obtained when retaining only quadra
 tic nonlinearities to the water waves system under the Zakharov/Craig-Sule
 m formulation. We will first argue that the initial-value problem is (most
  certainly) ill-posed in finite-regularity functional spaces\, and precise
 ly point out the underlying instability mechanism. Based on this analysis\
 , we will propose a non-invasive regularization procedure which allows to 
 recover all desired properties from the modelling point of view.\nThe disc
 ussion will be based on a joint work with Benjamin Melinand.\n 
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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