Scattering of plane waves by a moving obstacle

DOI10.1007/BF00248724zbMath0412.35074OpenAlexW2026631228MaRDI QIDQ1260290

Jeffery Cooper

Publication date: 1979

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00248724

zbMATH Keywords

boundary value problemfinite energy solutionsmoving obstacleoutgoing solutionHuyghens' principlecharacteristic raysDuhamel integralexponential decay of the local energyscattering of plane waves

Mathematics Subject Classification ID

Related Items (8)

Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials ⋮ Dynamics for the damped wave equations on time-dependent domains ⋮ Imaging a Moving Point Source from Multifrequency Data Measured at One and Sparse Observation Directions (Part I): Far-Field Case ⋮ The existence of the scattering operator for moving obstacles ⋮ Inverse scattering problem for the wave equation with time-dependent potential ⋮ Scattering of waves by periodically moving bodies ⋮ Inverse scattering problem for moving obstacles ⋮ Scattering by moving bodies: The quasi stationary approximation

Cites Work

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• Spherical means and radiation conditions
• Local decay of solutions of the wave equation in the exterior of a moving body
• Scattering theory for the d'Alembert equation in exterior domains
• A Generalization of Theorems of Rellich and Atkinson
• An Inverse Problem for Radiation Fields
• Exponential decay of solutions of the wave equation
• The limiting amplitude principle

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