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UID:news1121@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20201111T091948
DTSTART;TZID=Europe/Zurich:20201126T160000
SUMMARY:Perlen-Kolloquium: Prof. Dr. Emil Wiedemann (Universität Ulm)
DESCRIPTION:Convex integration is a technique\, or rather a broad range of 
 techniques\, that originated in Nash's work on isometric embeddings of man
 ifolds in the 1950s. It serves to produce 'unexpected' solutions to variou
 s geometric or analytic problems with peculiar behaviour. Convex integrati
 on has become very trendy again in the past ten years or so\, when it turn
 ed out that it surprisingly applies to the fundamental equations of fluid 
 mechanics\, including the Euler and Navier-Stokes systems. Since contempor
 ary applications\, however\, have become increasingly technical\, it is of
 ten not easy to grasp the fundamental mechanism. I will attempt to present
  this convex integration mechanism in a simple way\, and to discuss some a
 pplications to isometric embedding\, fluid dynamics\, and breakdown of the
  chain rule for functions of low regularity.
X-ALT-DESC:<p> Convex integration is a technique\, or rather a broad range 
 of techniques\, that originated in Nash's work on isometric embeddings of 
 manifolds in the 1950s. It serves to produce 'unexpected' solutions to var
 ious geometric or analytic problems with peculiar behaviour. Convex integr
 ation has become very trendy again in the past ten years or so\, when it t
 urned out that it surprisingly applies to the fundamental equations of flu
 id mechanics\, including the Euler and Navier-Stokes systems. Since contem
 porary applications\, however\, have become increasingly technical\, it is
  often not easy to grasp the fundamental mechanism. I will attempt to pres
 ent this convex integration mechanism in a simple way\, and to discuss som
 e applications to isometric embedding\, fluid dynamics\, and breakdown of 
 the chain rule for functions of low regularity.</p>
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