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On the Initial Value Problem for Rotating Stratified Flow
Author(s) -
Howard Louis N.,
Siegmann William L.
Publication year - 1969
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/sapm1969482153
Subject(s) - dissipative system , flow (mathematics) , gravitational field , disturbance (geology) , mechanics , classical mechanics , compressibility , physics , field (mathematics) , initial value problem , compressible flow , mathematics , mathematical analysis , geology , thermodynamics , paleontology , pure mathematics
The time‐dependent properties of the flow generated by a small disturbance of a rigidly rotating, compressible, non‐dissipative fluid in a gravitational field are derived, without restricting the spacial dependence of the gravitational field or the shape of the rigid container. The conserved quantities are used to characterize in a new way the time‐independent portion of the flow in terms of data from the initial disturbance.