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SUMMARY:On the ill-posedness of the 2D Boussinesq equations in the class o
 f bounded initial data
DTSTART:20231215T141500
DTSTAMP:20260919T215430Z
UID:1315ff935b419232a2f2100cae070d2a065d180a254c1fac906db408
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Lars Eric Hientzsch (Univ. Bielefeld)\nAbstract:\nThe Bous
 sinesq equations describe the evolution of a stratified fluid under the in
 fluence of gravity. We investigate the system in vorticity form and with a
  stable continuous background stratification increasing with depth (spectr
 ally stable density profile).\nWe prove that the system is strongly ill-po
 sed in the class of data with bounded initial vorticity and density gradie
 nt.\nThe mechanism that allows us to exhibit the norm-inflation in infinit
 esimal time is purely nonlinear - in contrast to previous results on mild 
 ill-posedness of the system.\nTime permitting\, applications to the 3D axi
 symmetric Euler equations with small bounded initial vorticity are discuss
 ed.\n\nBased on joint work with R. Bianchini (IAC Rome) and F. Iandoli (Un
 iversità della Calabria).
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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