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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Oblique-Angled Periodicity Lattice in Capillary-Gravity Waves Problems
verfasst von : Irina Konopleva, Boris Loginov
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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For the problems of capillary-gravity surface waves the cases with rectangular periodicity lattices were detaily studied in [1, 2, 3, 4], where the most interesting cases of the higher degeneracies were investigated. However the fluid flows with oblique-angled periodicity lattice remain unstudied. Here it is proved that solutions with elementary cells in the form of any parallelograms in oblique lattice are absent. Bifurcation theory methods under group invariance conditions are used [1, 2].