Symmetric surface waves over a bump

J. W. Choi; Daniel An; Chaeho Lim; Sangro Park

doi:10.4134/JKMS.2003.40.6.1051

Symmetric surface waves over a bump

J. W. Choi, Daniel An, Chaeho Lim, Sangro Park

Department of Mathematics

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

3 Citations (Scopus)

Abstract

We study the surface waves of an incompressible fluid passing over a small bump. A forced KdV equation for surface wave is derived without assuming that flow is uniform at far upstream. New types of steady solutions are discovered numerically. Two new cut off values of Froude number are found, above the larger of which two symmetric solutions exist and under the smaller of which two different symmetric solutions exist.

Original language	English
Pages (from-to)	1051-1060
Number of pages	10
Journal	Journal of the Korean Mathematical Society
Volume	40
Issue number	6
DOIs	https://doi.org/10.4134/JKMS.2003.40.6.1051
Publication status	Published - 2003

Keywords

FKdV equation
Periodic wave

ASJC Scopus subject areas

Mathematics(all)

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10.4134/JKMS.2003.40.6.1051

Cite this

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title = "Symmetric surface waves over a bump",

abstract = "We study the surface waves of an incompressible fluid passing over a small bump. A forced KdV equation for surface wave is derived without assuming that flow is uniform at far upstream. New types of steady solutions are discovered numerically. Two new cut off values of Froude number are found, above the larger of which two symmetric solutions exist and under the smaller of which two different symmetric solutions exist.",

keywords = "FKdV equation, Periodic wave",

author = "Choi, {J. W.} and Daniel An and Chaeho Lim and Sangro Park",

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AU - Choi, J. W.

AU - An, Daniel

AU - Lim, Chaeho

AU - Park, Sangro

PY - 2003

Y1 - 2003

N2 - We study the surface waves of an incompressible fluid passing over a small bump. A forced KdV equation for surface wave is derived without assuming that flow is uniform at far upstream. New types of steady solutions are discovered numerically. Two new cut off values of Froude number are found, above the larger of which two symmetric solutions exist and under the smaller of which two different symmetric solutions exist.

AB - We study the surface waves of an incompressible fluid passing over a small bump. A forced KdV equation for surface wave is derived without assuming that flow is uniform at far upstream. New types of steady solutions are discovered numerically. Two new cut off values of Froude number are found, above the larger of which two symmetric solutions exist and under the smaller of which two different symmetric solutions exist.

KW - FKdV equation

KW - Periodic wave

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U2 - 10.4134/JKMS.2003.40.6.1051

DO - 10.4134/JKMS.2003.40.6.1051

M3 - Article

AN - SCOPUS:18344381827

SN - 0304-9914

VL - 40

SP - 1051

EP - 1060

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 6

ER -

Symmetric surface waves over a bump

Abstract

Keywords

ASJC Scopus subject areas

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