The anomalous diffusion of wave disturbances in hydrodynamic-type systems

DOI10.1016/S0021-8928(03)90059-1zbMath1089.76010OpenAlexW1998390374MaRDI QIDQ5318123

Valentin A. Gorodtsov

Publication date: 21 September 2005

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8928(03)90059-1

zbMATH Keywords

Davey-Stewartson equationGaussian force

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic analysis applied to problems in fluid mechanics (76M35)

Cites Work

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• Diffusion spreading of localized hydrodynamic disturbances under the action of random forces
• Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• Dynamic Scaling of Growing Interfaces
• The inverse scattering transform: Semi-infinite interval
• Variational methods and applications to water waves
• A non-linear equation incorporating damping and dispersion

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