Time-Harmonic Acoustic Scattering from Locally Perturbed Periodic Curves
DOI10.1137/19M1301679zbMath1479.78013OpenAlexW4205817443MaRDI QIDQ5018876
Wangtao Lu, Guanghui Hu, Andreas Rathsfeld
Publication date: 24 December 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1301679
scattering problemtwo-dimensional Helmholtz equationhalf-plane Sommerfeld radiation conditionlocally perturbed periodic boundary curvesound-soft boundary condition
Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Variational methods for elliptic systems (35J50) Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Green's functions for elliptic equations (35J08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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