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UID:d4b5ff31bba7617abc01ab88feed5e7a
CATEGORIES:Nonlinear Analysis
CREATED:20220925T144530
SUMMARY:The insulated conductivity problem and the maximum principle
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract: Harmonic functions in narrow regions with Neumann boundary condit
 ions are used to model the electric potential in the presence of insulating
  inclusions a short distance apart. The gradient of the harmonic function -
  the electric field - may blow up as the inclusions approach each other. Op
 timal estimates for the electric field were recently obtained by Dong-Li-Ya
 ng. I will discuss a maximum principle approach to this problem, known as t
 he insulated conductivity problem.\n
X-ALT-DESC;FMTTYPE=text/html:<p><strong>Abstract:&nbsp;</strong>Harmonic functions in narrow regions wit
 h Neumann boundary conditions are used to model the electric potential in t
 he presence of insulating inclusions a short distance apart. The gradient o
 f the harmonic function - the electric field - may blow up as the inclusion
 s approach each other. Optimal estimates for the electric field were recent
 ly obtained by Dong-Li-Yang. I will discuss a maximum principle approach to
  this problem, known as the insulated conductivity problem.</p>
CONTACT:Ben Weinkove, Northwestern University
DTSTAMP:20260828T185345
DTSTART;TZID=America/New_York:20221011T134000
DTEND;TZID=America/New_York:20221011T144000
SEQUENCE:0
TRANSP:OPAQUE
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