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Mechanical balance laws for fully nonlinear and weakly dispersive water waves

Kalisch, Henrik ; Khorsand, Zahra ; Mitsotakis, Dimitrios

Physica D: Nonlinear Phenomena, 15 October 2016, Vol.333, pp.243-253 [Tạp chí có phản biện]

ISSN: 0167-2789 ; E-ISSN: 1872-8022 ; DOI: 10.1016/j.physd.2016.03.001

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  • Nhan đề:
    Mechanical balance laws for fully nonlinear and weakly dispersive water waves
  • Tác giả: Kalisch, Henrik ; Khorsand, Zahra ; Mitsotakis, Dimitrios
  • Chủ đề: Conservation Laws ; Serre System ; Dispersive Shock Waves ; Solitary Waves ; Conservation Laws ; Serre System ; Dispersive Shock Waves ; Solitary Waves ; Engineering ; Physics
  • Là 1 phần của: Physica D: Nonlinear Phenomena, 15 October 2016, Vol.333, pp.243-253
  • Mô tả: The Serre–Green–Naghdi system is a coupled, fully nonlinear system of dispersive evolution equations which approximates the full water wave problem. The system is known to describe accurately the wave motion at the surface of an incompressible inviscid fluid in the case when the fluid flow is irrotational and two-dimensional. The system is an extension of the well known shallow-water system to the situation where the waves are long, but not so long that dispersive effects can be neglected. In the current work, the focus is on deriving mass, momentum and energy densities and fluxes associated with the Serre–Green–Naghdi system. These quantities arise from imposing balance equations of the same asymptotic order as the evolution equations. In the case of an even bed, the conservation equations are satisfied exactly by the solutions of the Serre–Green–Naghdi system. The case of variable bathymetry is more complicated, with mass and momentum conservation satisfied exactly, and energy...
  • Ngôn ngữ: English
  • Số nhận dạng: ISSN: 0167-2789 ; E-ISSN: 1872-8022 ; DOI: 10.1016/j.physd.2016.03.001

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