BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Functional-integral equations and diffraction  by a truncated wedg
 e - Mikhail Lyalinov  (Saint Petersburg State University)
DTSTART:20190816T140000Z
DTEND:20190816T143000Z
UID:TALK128854@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>In this work we study diffraction of a plane incident wa
 ve in a complex 2D domain composed by two&nbsp\;shifted angular domains ha
 ving a part of their common boundary. The perfect (Dirichlet or Neumann)&n
 bsp\;boundary conditions are postulated on the polygonal boundary of such 
 compound domain. By means of the&nbsp\;Sommerfeld-Malyuzhinets technique t
 he boundary-value problem at hand is reduced to a&nbsp\;non-standard syste
 ms of&nbsp\;Malyuzhinets-type&nbsp\;functional-integral equations and then
  to a Fredholm integral equation of the second kind. Existence and uniquen
 ess&nbsp\;of the solution for the diffraction problem is studied and is ba
 sed on the Fredholm alternative for the&nbsp\;integral equation. The far f
 ield asymptotics of the wave field is also addressed.<br> <br> </span>
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR