BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:On incompressible flows in discrete networks and Shnirelman’s in
 equality [Lecture]
DTSTART:20251112T120000Z
DTEND:20251112T124500Z
DTSTAMP:20260314T224400Z
UID:indico-event-893@math-events.uni-bonn.de
DESCRIPTION:Speakers: Martina Zizza\n\nIn this talk we will show that\, gi
 ven $f$ and $g$ two volume-preserving diffeomorphisms on the cube $Q=[0\,
 1]^\\nu$\, $\\nu\\geq 3$\, there exists a divergence-free vector field $v
 \\in L^1((0\,1)\;L^p(Q))$ such that $v$ connects $f$ and $g$  through th
 e corresponding flow and $\\|v\\|_{L^1_tL^p_x\\|\\leq C\\|f-g\\|_{L^p_x}$.
  In particular we show Shnirelman's inequality\, cf. [Shnirelman\, General
 ized fluid flows\, their approximation and applications (1994)]\, for the 
 optimal Hölder exponent $\\alpha=1$\, thus proving that the metric on the
  group of volume-preserving diffeomorphisms of $Q$ is equivalent to the $
 L^2$ distance. To achieve this\, we discretize our problem\, use some res
 ults on flows in discrete networks and then construct a flowin non-discret
 e space-time out of the discrete solution. \n\nhttps://math-events.uni-bon
 n.de/event/893/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/893/
END:VEVENT
END:VCALENDAR