Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth

Varvaruca, E. (2008) Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 138 (6). 1345 -1362. ISSN 0308-2105 doi: 10.1017/S0308210507000522

Abstract/Summary

We study weak solutions for a class of free-boundary problems which includes as a special case the classical problem of travelling gravity waves on water of finite depth. We show that such problems are equivalent to problems in fixed domains and study the regularity of their solutions. We also prove that in very general situations the free boundary is necessarily the graph of a function.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/17524
Identification Number/DOI	10.1017/S0308210507000522
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	University of Cambridge
Publisher Statement	© 2008 The Royal Society of Edinburgh
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