Limiting form of internal waves

C. J. Amick; J. F. Toland

Limiting form of internal waves

Department of Mathematical Sciences

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

Abstract

The bifurcation of two-dimensional internal solitary waves in a perfect density stratified fluid between horizontal walls under gravity is studied near to a point of incipient eddy formation. It is shown that eddies do not attach to the walls. Moreover, along the bifurcating branch there is always a flow with a singular cusped streamline before the formation of eddies. Two examples are given where the primary density stratification ensures the existence of a limiting wave of depression in one case, and of elevation in the other.

Original language	English
Pages (from-to)	329-344
Number of pages	16
Journal	Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
Volume	394
Issue number	1807
Publication status	Published - 1 Jan 1984

ASJC Scopus subject areas

General Mathematics
General Engineering
General Physics and Astronomy

Cite this

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title = "Limiting form of internal waves",

abstract = "The bifurcation of two-dimensional internal solitary waves in a perfect density stratified fluid between horizontal walls under gravity is studied near to a point of incipient eddy formation. It is shown that eddies do not attach to the walls. Moreover, along the bifurcating branch there is always a flow with a singular cusped streamline before the formation of eddies. Two examples are given where the primary density stratification ensures the existence of a limiting wave of depression in one case, and of elevation in the other.",

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AU - Amick, C. J.

AU - Toland, J. F.

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N2 - The bifurcation of two-dimensional internal solitary waves in a perfect density stratified fluid between horizontal walls under gravity is studied near to a point of incipient eddy formation. It is shown that eddies do not attach to the walls. Moreover, along the bifurcating branch there is always a flow with a singular cusped streamline before the formation of eddies. Two examples are given where the primary density stratification ensures the existence of a limiting wave of depression in one case, and of elevation in the other.

AB - The bifurcation of two-dimensional internal solitary waves in a perfect density stratified fluid between horizontal walls under gravity is studied near to a point of incipient eddy formation. It is shown that eddies do not attach to the walls. Moreover, along the bifurcating branch there is always a flow with a singular cusped streamline before the formation of eddies. Two examples are given where the primary density stratification ensures the existence of a limiting wave of depression in one case, and of elevation in the other.

UR - https://www.scopus.com/pages/publications/0021757957

M3 - Article

AN - SCOPUS:0021757957

SN - 0080-4630

VL - 394

SP - 329

EP - 344

JO - Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences

JF - Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences

IS - 1807

ER -

Limiting form of internal waves

Abstract

ASJC Scopus subject areas

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