Self-averaging scaling limits for random parabolic waves

DOI10.1007/s00205-004-0343-4zbMath1066.60095arXivmath-ph/0306001OpenAlexW2149268316MaRDI QIDQ1770245

Albert C. Fannjiang

Publication date: 14 April 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0306001

zbMATH Keywords

Fokker-Planck equationscaling limittransport equationparabolic wave equationWigner-Moyal equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Other physical applications of random processes (60K40) Processes in random environments (60K37) Generalized solutions to partial differential equations (35D99)

Related Items (10)

Wave decoherence for the random Schrödinger equation with long-range correlations ⋮ White-Noise Paraxial Approximation for a General Random Hyperbolic System ⋮ High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat ⋮ Classical limit for a system of non-linear random Schrödinger equations ⋮ Random backscattering in the parabolic scaling ⋮ Radiative transport limit of Dirac equations with random electromagnetic field ⋮ Parabolic and white-noise approximations for elastic waves in random media ⋮ Long time energy transfer in the random Schrödinger equation ⋮ Nonlinear Schrödinger equation with a white-noise potential: phase-space approach to spread and singularity ⋮ Self-averaging radiative transfer for parabolic waves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• La convergence en loi pour les processus à valeurs dans un espace nucléaire
• Semigroups of conditioned shifts and approximation of Markov processes
• Classical and quantum transport in random media.
• White-noise and geometrical optics limits of Wigner-Moyal equation for wave beams in turbulent media
• Decoherence, einselection, and the quantum origins of the classical
• Homogenization limits and Wigner transforms
• Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
• Radiative transport limit for the random Schrödinger equation
• SELF-AVERAGING IN TIME REVERSAL FOR THE PARABOLIC WAVE EQUATION
• Statistical Stability in Time Reversal
• Propagation and Time Reversal of Wave Beams in Atmospheric Turbulence
• Derivation of the transport equation for electrons moving through random impurities

This page was built for publication: Self-averaging scaling limits for random parabolic waves