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arXiv · 1105.1653

Equivalence of weak formulations of the steady water waves equations

Eugen Varvaruca·Arghir Zarnescu
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Abstract

We prove the equivalence of three weak formulations of the steady water waves equations, namely the velocity formulation, the stream function formulation, and the Dubreil-Jacotin formulation, under weak Holder regularity assumptions on their solutions.

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Eugen Varvaruca, Arghir Zarnescu. 2011-05-09. Equivalence of weak formulations of the steady water waves equations. https://doi.org/10.1098/rsta.2011.0455

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