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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/388

Title: Three-dimensional travelling gravity-capillary water waves
Authors: Groves, Mark D.
Keywords: water waves
spatial dynamics
Hamiltonian systems
calculus variations
Issue Date: 2005
Abstract: 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.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/388
Appears in Collections:Pre-prints (Maths)

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