Nonlinear Water Waves by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9783030335366
Publisher: Springer International Publishing

(2.2)

Here V j are the tangential components of the velocity of the interface in the parameterized coordinates, not to be confused with , the velocity of fluid particles on the interface. The parameter g is gravity and τ is surface tension coefficient. The parameter is the Atwood ratio, comparing the densities of the upper and lower fluids with densities of ρ 2, ρ 1, respectively; the water wave problem is the limit At → 1. The vector W = (W 1, W 2, W 3) is the velocity of the fluid evaluated at the interface, whose closure for doubly 2π-periodic interfaces is

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