On the wave propagation in unbounded random media

DOI10.1016/0378-4754(87)90138-8zbMath0628.73003OpenAlexW1971620346MaRDI QIDQ1093395

Ester Gabetta

Publication date: 1987

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(87)90138-8

zbMATH Keywords

contraction mapping principleexistenceHelmholtz equationisotropicBorn approximationintegral equation formulationunbounded mediumbounded by a random layerharmonic point sourcelosslssradiation of scalar wavestime-independent random medium

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Random materials and composite materials (74A40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

• Random integral equations with applications to life sciences and engineering
• From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence
• On the theory of optical images affected by artificial influences in the focal plane

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