Presented by:
Mikhail Lyalinov
Date:
Friday 16th August 2019 - 15:00 to 15:30
Venue:
INI Seminar Room 1
Abstract:
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 technique the boundary-value problem at hand is reduced
to a non-standard systems of Malyuzhinets-type functional-integral equations and then to a Fredholm integral equation of the
second kind. Existence and uniqueness of the solution for the diffraction problem is studied and is based on the
Fredholm alternative for the integral equation. The far field asymptotics of the wave field is also
addressed.
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