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SUMMARY:Topological properties of rough fluids and plasmas
DTSTART:20260424T141500
DTSTAMP:20260404T051308Z
UID:8d6516342a444e70c7268c2fb518c6dd3befd749e9b2740d5bea1f4d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Javier Peñafiel-Tomás (ICMAT)\nAbstract:\nAs anticipated
  by Onsager's conjecture\, low-regularity solutions of the Euler equations
  exhibit greater flexibility than classical solutions. In the first part o
 f this talk we focus on steady solutions\, showing that in the low-regular
 ity regime their streamlines can realize any prescribed topology\, a pheno
 menon that cannot occur for classical solutions. The key tool is a novel i
 mplementation of convex integration that preserves the topology of the str
 eamlines throughout the iteration. In the second part we extend these idea
 s to the MHD equations\, constructing continuous weak solutions with const
 ant nonzero helicity that nevertheless fail to conserve energy and cross h
 elicity.
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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