Fourth-moment analysis for wave propagation in the white-noise paraxial regime

DOI10.1007/s00205-015-0926-2zbMath1339.35289arXiv1410.6907OpenAlexW3106321920MaRDI QIDQ261283

Knut Sølna, Josselin Garnier

Publication date: 23 March 2016

Published in: Archive for Rational Mechanics and Analysis, Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6907

zbMATH Keywords

parabolic approximationwaves in random mediaItô-Schrödinger modelWigner transformscintillationwhite-noise paraxial wave model

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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