Accessibility navigation


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

Downloads

Downloads per month over past year

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

[img] Text - Published Version
· Please see our End User Agreement before downloading.

197Kb

To link to this article 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
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:17524
Publisher:University of Cambridge
Publisher Statement:© 2008 The Royal Society of Edinburgh

Download Statistics for this item.

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation