Numerical solutions of the bifurcation problem of interfacial progressive water waves

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概要

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• We consider progressive water-waves on the interface between two fluids of different densities. Such interfacial waves problem is a generalization of surface waves problem, which we have studied extensively in [2,3]. By this generalization, our numerical results on the bifurcation problem of the surface waves can be explained mathematically. We showed in [2] the ratio of the propagation speeds between the upper and lower fluids plays an important role in governing bifurcation structures. And it is meaningful to see changes in bifurcation structures as the key parameter varies. We show here our numerical results.

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著者

• Shoji Mayumi

  Department Of Mathematical And Physical Sciences Faculty Of Science Japan Women's University

• Shoji Mayumi

  Department Of General Education College Of Sci. And Tech. Nihon University

関連論文

• Remarks on the Bifurcation of Two Dimensional Capillary-Gravity Waves of Finite Depth
• Numerical solutions of the bifurcation problem of interfacial progressive water waves
• Particle trajectories around a running cylinder or a sphere

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