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Download fileThree-dimensional travelling gravity-capillary water waves
preprint
posted on 2005-08-16, 10:08 authored by Mark D. GrovesThe 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.
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School
- Science
Department
- Mathematical Sciences
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1584515 bytesPublication date
2005Notes
This is a pre-print.Language
- en