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Three-dimensional travelling gravity-capillary water waves

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preprint
posted on 16.08.2005, 10:08 by Mark D. Groves
The travelling water-wave problem is one of the classical problems in applied mathematics, and there is a huge and growing literature in this area. However virtually all the published results on three-dimensional travelling water waves concentrate on numerical studies or approximations by simper model equations, and there has been far less rigorous mathematical study of the complete hydrodynamic problem. Functional-analytic techniques for partial differential equations are required to make progress with the exact equations, and in this paper we survey the currently available mathematical results.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

1584515 bytes

Publication date

2005

Notes

This is a pre-print.

Language

en