The bifurcation of interfacial capillary-gravity waves under O(2) symmetry
作者： Mark Jones
DOI: 10.3934/CPAA.2011.10.1183
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摘要: The evolution of an interface between two fluids of different densities is considered. particular case under examination when the motion due to interaction the Mth and Nth harmonics fundamental mode. By means a hodograph transformation problem cast as operator equation between suitable function spaces. Classical techniques are used to reduce a finite system algebraic equations. Solutions found which exhibit rich variety behaviour including primary, secondary multiple bifurcation.
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