N-modal steady water waves with vorticity
classification
🧮 math.AP
math-phmath.MP
keywords
steadywavesbifurcationvorticitywaterarbitraryargumentcrests
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The problem for two-dimensional steady gravity driven water waves with vorticity is investigated. Using a multidimensional bifurcation argument, we prove the existence of small-amplitude periodic steady waves with an arbitrary number of crests per period. The role of bifurcation parameters is played by the roots of the dispersion equation.
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