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SUMMARY:Earnshaw's Theorem in Electrostatics - Jeffrey Rauch\, Michigan
DTSTART:20150316T160000Z
DTEND:20150316T170000Z
UID:TALK58461@talks.cam.ac.uk
CONTACT:Harsha Hutridurga
DESCRIPTION:Earshaw's Theorem (1842) is the subject of\nSection 116  of Ma
 xwell's Treatise.  It asserts\nthat charged bodies in an electrostatic fie
 ld\ncannot be in a position of stable equilibrium.\nHis and modern physics
  texts proofs\nare interesting but not proofs.\nFor point charges the resu
 lt was proved\nby Kozlov in 1986. The case of dielectric and\nperfectly co
 nducting bodies is current work with\nGregoire Allaire.  The interesting\n
 cases are when the linearization is degenerate.\nFor dielectric and perfec
 tly conduction bodies\nwe prove that this can occur only when the\nelectri
 c field is constant on a neighborhood\nof the body.
LOCATION:CMS\, MR13
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