Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity
In this work we prove the equivalence between three different weak formulations of the steady periodic water wave problem where the vorticity is discontinuous. In particular, we prove that generalised versions of the standard Euler and stream function formulation of the governing equations are equiv...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/138511 |
| Acceso en línea: | https://hdl.handle.net/11441/138511 https://doi.org/10.3934/dcds.2017114 |
| Access Level: | acceso abierto |
| Palabra clave: | Water waves discontinuous vorticity fixed-depth flows Hölder spaces weak solution |
| Sumario: | In this work we prove the equivalence between three different weak formulations of the steady periodic water wave problem where the vorticity is discontinuous. In particular, we prove that generalised versions of the standard Euler and stream function formulation of the governing equations are equivalent to a weak version of the recently introduced modified-height formulation. The weak solutions of these formulations are considered in Hölder spaces. |
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