Uniform asymptotic theory of creeping waves

DOI10.1002/cpa.3160200205zbMath0154.12103OpenAlexW1989787306MaRDI QIDQ5533531

Donald Ludwig, Robert Michael Lewis, Norman Bleistein

Publication date: 1967

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160200205

zbMATH Keywords

partial differential equations

Related Items (max. 100)

RIEMANNIAN GEOMETRICAL OPTICS: SURFACE WAVES IN DIFFRACTIVE SCATTERING ⋮ Short-wave asymptotic behavior of space-time creeping waves in elasticity theory ⋮ Applicability of the Rayleigh hypothesis to real materials ⋮ Asymptotic solutions of the Helmholtz equation: Generalised Friedlander–Keller ray expansions of fractional order ⋮ Reflection of a plane step compression wave from a convex axisymmetric cavity ⋮ Reflection of a stepped plane pressure wave from a convex cylindrical cavity ⋮ Geometrical theory of diffracted rays, orbiting and complex rays ⋮ Explicit complex-valued solutions of the 2D eikonal equation ⋮ Inflection reflection: images in mirrors whose curvature changes sign ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ A boundary layer approach to creeping waves ⋮ Diffraction by a smooth interface between two inhomogeneous media ⋮ D. Ludwig's method and the boundary-layer method in the problem of diffraction by a smooth body ⋮ Scalar wave diffraction by tangent rays. ⋮ On complex-valued solutions to a 2D Eikonal equation. Part three: analysis of a Bäcklund transformation ⋮ Rigorous justification of the shortwave asymptotic theory of diffraction in the shadow zone ⋮ Shortwave diffraction by an oblate spheroid ⋮ An integral representation approach to diffraction by a smooth object ⋮ A geometric optics solution for the thin shell equation ⋮ An asymptotic theory of guided waves ⋮ An asymptotic theory of guided waves. II ⋮ Propagation of high-frequency harmonic elastic waves from an axially symmetric cavity ⋮ Remarks on effective curvature

Cites Work

• An integral representation approach to diffraction by a smooth object
• DIFFRACTION BY A SPHEROID
• The Inverse Problem in the Quantum Theory of Scattering
• Uniform asymptotic expansions at a caustic
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