Article
Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity
Author/s | Sastre Gómez, Silvia |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2017-05-05 |
Deposit Date | 2022-10-31 |
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Abstract | 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 ... 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. |
Citation | Sastre Gómez, S. (2017). Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity. Discrete and continuous dynamical systems. Series A, 37 (5), 2669-2680. https://doi.org/10.3934/dcds.2017114. |
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