Large-amplitude solitary water waves with vorticity

Miles H. Wheeler

doi:10.1137/120891460

Large-amplitude solitary water waves with vorticity

Miles H. Wheeler

Department of Mathematical Sciences

Brown University

Research output: Contribution to journal › Article › peer-review

27 Citations (SciVal)

Abstract

We provide the first construction of exact solitary waves of large amplitude with an arbitrary distribution of vorticity. We use continuation to construct a global connected set of symmetric solitary waves of elevation, whose profiles decrease monotonically on either side of a central crest. This generalizes the classical result of Amick and Toland.

Original language	English
Pages (from-to)	2937-2994
Number of pages	58
Journal	Siam Journal on Mathematical Analysis
Volume	45
Issue number	5
DOIs	https://doi.org/10.1137/120891460
Publication status	Published - 1 Dec 2013

Keywords

Solitary waves
Vorticity
Water waves

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/120891460

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title = "Large-amplitude solitary water waves with vorticity",

abstract = "We provide the first construction of exact solitary waves of large amplitude with an arbitrary distribution of vorticity. We use continuation to construct a global connected set of symmetric solitary waves of elevation, whose profiles decrease monotonically on either side of a central crest. This generalizes the classical result of Amick and Toland.",

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AB - We provide the first construction of exact solitary waves of large amplitude with an arbitrary distribution of vorticity. We use continuation to construct a global connected set of symmetric solitary waves of elevation, whose profiles decrease monotonically on either side of a central crest. This generalizes the classical result of Amick and Toland.

KW - Solitary waves

KW - Vorticity

KW - Water waves

UR - https://www.scopus.com/pages/publications/84891341028

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DO - 10.1137/120891460

M3 - Article

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VL - 45

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EP - 2994

JO - Siam Journal on Mathematical Analysis

JF - Siam Journal on Mathematical Analysis

IS - 5

ER -

Large-amplitude solitary water waves with vorticity

Abstract

Keywords

ASJC Scopus subject areas

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