Relaxation of a small local perturbation of the surface of a viscous fluid in the Stokes approximation

DOI10.1007/BF01050001zbMath0589.76039MaRDI QIDQ1074427

Sergey A. Chivilikhin

Publication date: 1985

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

Stokes approximationgeometric interpretationinertialess approximationplane surfaceaperiodic regime of local relaxationcharacteristic time of damping of the perturbationdamping of the individual Fourier harmonicsfluid of infinite depthinfluence of gravity and surface tensionprocess of self-orderingrelaxation of harmonic perturbationsself-similar partly ordered shapeshort wave limitsmall local perturbationthree-dimensional spectrumvolume of the perturbation

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Cites Work

• On the spatial problem of waves on the surface of a viscous fluid of infinite depth
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