The linear shallow water theory: a mathematical justification

The linear shallow water theory: a mathematical justification

The authors provide in the space of square integrable measurable functions a mathematical justification for the "shallow water" theory for time-dependent two-dimensional flows of an inviscid, irrotational, incompressible fluid moving under the influence of gravity. A by-product of this inv...

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Veröffentlicht in:SIAM journal on mathematical analysis 1993-07, Vol.24 (4), p.892-910
Hauptverfasser: DONALDSON, J. A, WILLIAMS, D. A
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Cauchy problems
Exact sciences and technology
Fluid dynamics
Fourier transforms
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
Partial differential equations
Physics
Water
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Zusammenfassung:The authors provide in the space of square integrable measurable functions a mathematical justification for the "shallow water" theory for time-dependent two-dimensional flows of an inviscid, irrotational, incompressible fluid moving under the influence of gravity. A by-product of this investigation is a new derivation of the "shallow water" equations.
ISSN:0036-1410
1095-7154
DOI:10.1137/0524055