On scattering by a cylinder with a narrow slit and walls of finite thickness

DOI10.1007/BF02070760zbMath0889.35073MaRDI QIDQ1379213

Rustem R. Gadyl'shin

Publication date: 1 March 1998

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Green's functionHelmholtz resonatormatching asymptotic expansions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic expansions of solutions to PDEs (35C20) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition
• Non-homogeneous media and vibration theory
• The essential spectrum of Neumann Laplacians on some bounded singular domains
• Perturbation formula of eigenvalues in singularly perturbed domain
• Eigenvalues and resonances for domains with tubes: Neumann boundary conditions
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• On acoustic Helmholtz resonator and on its electromagnetic analog

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