Equivalence of weak formulations of the steady water waves equations

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 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
URI	https://reading-clone.eprints-hosting.org/id/eprint/26344
Identification Number/DOI	10.1098/rsta.2011.0455
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Uncontrolled Keywords	water waves,vorticity, weak solutions
Publisher	Royal Society Publishing
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