TY - JOUR
AU - Bouche, Daniel
AU - Hong, Youngjoon
AU - Jung, Chang-Yeol
DA - 2017/03
UR - https://scholarworks.unist.ac.kr/handle/201301/18135
AB - We study the asymptotic behavior of the two dimensional Helmholtz scattering problem with high wave numbers in an exterior domain, the exterior of a circle. We impose the Dirichlet boundary condition on the obstacle, which corresponds to an incidental wave. For the outer boundary, we consider the Sommerfeld conditions. Using a polar coordinates expansion, the problem is reduced to a sequence of Bessel equations. Investigating the Bessel equations mode by mode, we find that the solution of the scattering problem converges to its limit solution at a specific rate depending on k.
LA - 영어
PB - AMER INST MATHEMATICAL SCIENCES
TI - ASYMPTOTIC ANALYSIS OF THE SCATTERING PROBLEM FOR THE HELMHOLTZ EQUATIONS WITH HIGH WAVE NUMBERS
DO - 10.3934/dcds.2017048
ER -