The method of matched asymptotic expansions in the problem of the Helmholtz acoustic resonator

DOI10.1016/0021-8928(92)90024-3zbMath0786.76075OpenAlexW1963661734MaRDI QIDQ1314170

Rustem R. Gadyl'shin

Publication date: 3 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(92)90024-3

zbMATH Keywords

small parameterSommerfeld radiation conditionscattered fieldMeixner condition

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Hydro- and aero-acoustics (76Q05)

Related Items

Unnamed Item ⋮ Systems of acoustic resonators in the quasistationary mode ⋮ Unnamed Item ⋮ Singular perturbations of curved boundaries in three dimensions. The spectrum of the Neumann Laplacian ⋮ Asymptotics of scattering frequencies with small imaginary parts for an acoustic resonator ⋮ The quasi-stationary mode of a Helmholtz resonator

Cites Work

• The analytic extension of the resolvent of outer three-dimensional problems for Laplace operators in the second sheet
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item