Equivalence of weak formulations of the steady water waves equations

Details Equivalence of weak formulations of the steady water waves equations Equivalence of weak formulations of the steady water waves equations

2011-05-09

arxiv.org/abs/1105.1653v1

Mathematics

Analysis of PDEs

Scientific paper

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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