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SUMMARY:A back door to blow-up: Inviscid regularization for the 3D Euler a
 nd Navier-Stokes equations - Adam Larios (None / Other)
DTSTART:20220222T160000Z
DTEND:20220222T170000Z
UID:TALK170303@talks.cam.ac.uk
DESCRIPTION:The 3D Euler-Voigt equations can be thought of as a regulariza
 tion of the 3D Euler equations in the sense that they are globally well-po
 sed\, and the solutions approximate the solutions to the 3D Euler equation
 s. &nbsp\;We describe a blow-up criterion for the 3D incompressible Euler 
 equations based on inviscid Voigt regularization. &nbsp\;Therefore\, the b
 low-up criterion allows one to gain information about possible singularity
  formation in the 3D Euler equations indirectly\; namely\, by simulating t
 he "better-behaved" 3D Euler-Voigt equations. &nbsp\;Analytical and comput
 ational results will be discussed. &nbsp\;We will also discuss a applicati
 ons to Navier-Stokes and a recent Voigt-type regularization and blow-up cr
 iterion based on the Velocity-Vorticity formulation of the 3D Navier-Stoke
 s equations.
LOCATION:Seminar Room 2\, Newton Institute
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