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SUMMARY:Riemann-Hilbert Approach to the  Elastodynamic Equation. Quarter P
 lane. Connection formulae between the Rayleigh waves along vertical and ho
 rizontal  parts of the border. - Elizabeth Its (Indiana University-Purdue 
 University Indianapolis)
DTSTART:20240703T104500Z
DTEND:20240703T111500Z
UID:TALK214906@talks.cam.ac.uk
DESCRIPTION:Following the general ideas &nbsp\;of &nbsp\;Fokas's Unified T
 ransform Method\, we are presenting&nbsp\;an approach\, based on the Riema
 nn-Hilbert apparatus\, &nbsp\;to the elastodynamic equations on the quarte
 r plane. &nbsp\;The original boundary problem is reduced to amatrix Rieman
 n-Hilbert problem with a shift posed on a tours. We shall also present the
  recent developments concerningthe exact calculation of the connection for
 mulae between the Rayleigh waves propagatingalong vertical and horizontal 
 boundaries. The talk is based on the earlier work of the speaker&nbsp\;wit
 h A. Its and Yu. &nbsp\;Kaplunov and on the ongoing research &nbsp\;projec
 t with A. Its.
LOCATION:Seminar Room 1\, Newton Institute
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