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Finite-amplitude internal wavepacket dispersion and breaking. (English) Zbl 1007.76024

From the summary: The evolution and stability of two-dimensional, large-amplitude, non-hydrostatic internal wavepackets are examined analytically and by numerical simulations. We derive a weakly nonlinear dispersion relation for horizontally periodic, vertically compact internal waves, and apply the results to assess the stability of weakly nonlinear wavepackets to vertical modulations.

MSC:

76E17 Interfacial stability and instability in hydrodynamic stability
76B55 Internal waves for incompressible inviscid fluids
76B70 Stratification effects in inviscid fluids
76E30 Nonlinear effects in hydrodynamic stability
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