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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Functional-integral equations and diffraction by
a truncated wedge - Mikhail Lyalinov (Saint Peter
sburg State University)
DTSTART;TZID=Europe/London:20190816T150000
DTEND;TZID=Europe/London:20190816T153000
UID:TALK128851AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/128851
DESCRIPTION:In this work we study diffraction of a plane
incident wave in a complex 2D domain composed by
two \;shifted angular domains having a part of
their common boundary. The perfect (Dirichlet or
Neumann) \;boundary conditions are postulated
on the polygonal boundary of such compound domain.
By means of the \;Sommerfeld-Malyuzhinets tec
hnique the boundary-value problem at hand is reduc
ed to a \;non-standard systems of \;Malyuz
hinets-type \;functional-integral equations an
d then to a Fredholm integral equation of the seco
nd kind. Existence and uniqueness \;of the sol
ution for the diffraction problem is studied and i
s based on the Fredholm alternative for the \;
integral equation. The far field asymptotics of th
e wave field is also addressed.

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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