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Equivalence of weak formulations of the steady water waves equations

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Varvaruca, E. and Zarnescu, A. (2012) Equivalence of weak formulations of the steady water waves equations. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 370 (1964). pp. 1703-1719. ISSN 1364-503X

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To link to this item DOI: 10.1098/rsta.2011.0455

Abstract/Summary

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 Hölder regularity assumptions on their solutions.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:26344
Uncontrolled Keywords:water waves,vorticity, weak solutions
Publisher:Royal Society Publishing
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