Kinetic, potential and surface tension energies of solitary waves in deep water
classification
🧮 math.AP
math-phmath.MPphysics.flu-dyn
keywords
surfacetensiondeepenergieskineticpotentialsolitarywater
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We present an exact relation among the kinetic, potential and surface tension energies of a solitary wave in deep water in all dimensions. We deduce its non-existence in the absence of the effects of surface tension, provided that gravity acts in a direction opposite to what is physically realistic.
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