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Equivalence of weak formulations of the steady water waves equations

By Eugen Varvaruca and Arghir Zarnescu


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

Topics: Mathematics - Analysis of PDEs
Year: 2011
DOI identifier: 10.1098/rsta.2011.0455
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