Asymptotic Evaluation of Integrals Related to Time-Dependent Fields Near Caustics

DOI10.1137/S0036139993269242zbMath0820.35088OpenAlexW2035812931MaRDI QIDQ4698701

Robert Burridge

Publication date: 30 May 1995

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139993269242

zbMATH Keywords

cusped causticnondispersive wave problemstime-dependent wave fields near caustics

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (5)

Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies ⋮ Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime ⋮ Wave arrival singularities at cuspidal points in the acoustic wave surfaces of anisotropic solids and their unfolding under weak spatial dispersion ⋮ Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media ⋮ Unnamed Item

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