TY - JOUR
T1 - Resonant Interactions between Vortical Flows and Water Waves. Part II
T2 - Shallow Water
AU - Milewski, P. A.
N1 - Publisher Copyright:
© 2015 Wiley Periodicals, Inc., A Wiley Company.
PY - 1995/4/1
Y1 - 1995/4/1
N2 - Any weak, steady vortical flow is a solution, to leading order, of the inviscid fluid equations with a free surface, so long as this flow has horizontal streamlines coinciding with the undisturbed free surface. This work considers the propagation of long irrotational surface gravity waves when such a vortical flow is present. In particular, when the vortical flow and the irrotational surface waves are both periodic and have comparable length scales, resonant interactions can occur between the various components of the flow. The interaction is described by two coupled Korteweg-de Vries equations and a two-dimensional streamfunction equation.
AB - Any weak, steady vortical flow is a solution, to leading order, of the inviscid fluid equations with a free surface, so long as this flow has horizontal streamlines coinciding with the undisturbed free surface. This work considers the propagation of long irrotational surface gravity waves when such a vortical flow is present. In particular, when the vortical flow and the irrotational surface waves are both periodic and have comparable length scales, resonant interactions can occur between the various components of the flow. The interaction is described by two coupled Korteweg-de Vries equations and a two-dimensional streamfunction equation.
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U2 - 10.1002/sapm1995943225
DO - 10.1002/sapm1995943225
M3 - Article
AN - SCOPUS:21844526259
SN - 0022-2526
VL - 94
SP - 225
EP - 256
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
IS - 3
ER -