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The Evolution of Large‐Horizontal‐Scale Disturbances in Marginally Stable, Inviscid, Shear Flows. I. Derivation of the Amplitude Evolution Equations
Author(s) -
Hickernell Fred J.
Publication year - 1983
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm19836911
Subject(s) - inviscid flow , amplitude , shear flow , scale (ratio) , mechanics , shear (geology) , flow (mathematics) , mathematics , stratified flow , stratification (seeds) , mathematical analysis , geology , classical mechanics , physics , turbulence , petrology , quantum mechanics , seed dormancy , germination , botany , dormancy , biology
Two inviscid, stratified, shear flow models are studied. The amplitude evolution equations for large‐horizontal‐scale disturbances are derived. Particular attention is given to the case where the flows are marginally stable. In this case the amplitude evolution equations are second order in time. A typical example is the Boussinesq equation.