Non-existence of Global Energy-Minimisers in Stokes Wave Problems

نویسنده

  • J. F. Toland
چکیده

Recently it was shown that a wave profile which minimises total energy, elastic plus hydrodynamic, subject to the vorticity distribution being prescribed, gives rise to a steady hydroelastic wave. Using this formulation, the existence of non-trivial minimisers leading to such waves was established for certain non-zero values of the elastic constants. Here we show that when these constants are zero, global minimisers do not exist except in a unique set of circumstances.

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تاریخ انتشار 2013