Equations for bi-directional waves over an uneven bottom

被引：26

作者：

Chen, M ^{[1
]}

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2003年 / 62卷 / 1-2期

关键词：

water waves; Boussinesq systems; bottom topography;

D O I：

10.1016/S0378-4754(02)00193-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is centered at deriving and studying systems modeling bi-directional surface waves over an uneven or a moving bottom. Compared with the huge amount of work on model equations describing one-way propagation of water waves, much less attention has been given to Boussinesq systems describing two-way propagation of water waves, especially to the systems which are externally forced. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：3 / 9

页数：7

共 10 条

[1] REGULARITY AND UNIQUENESS OF SOLUTIONS TO THE BOUSSINESQ SYSTEM OF EQUATIONS
AMICK, CJ
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 54 (02) : 231 - 247
[2] A Boussinesq system for two-way propagation of nonlinear dispersive waves
Bona, JL
Chen, M
[J]. PHYSICA D, 1998, 116 (1-2): : 191 - 224
[3] BONA JL, 2000, BOUSSINESQ EQUATIONS
[4] CHEN M, IN PRESS APPL ANAL
[5] JOHNSON RS, 1973, P CAMB PHILOS SOC, V73, P183
[6] TRANSFORMATION OF A SOLITARY WAVE OVER AN UNEVEN BOTTOM
MADSEN, OS
MEI, CC
[J]. JOURNAL OF FLUID MECHANICS, 1969, 39 : 781 - +
[7] Peregrine D.H., 1972, WAVES BEACHES RESULT, P95
[8] LONG WAVES ON A BEACH
PEREGRINE, DH
[J]. JOURNAL OF FLUID MECHANICS, 1967, 27 : 815 - +
[9] EXISTENCE OF SOLUTIONS FOR THE BOUSSINESQ SYSTEM OF EQUATIONS
SCHONBEK, ME
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 42 (03) : 325 - 352
[10] GENERATION OF UPSTREAM ADVANCING SOLITONS BY MOVING DISTURBANCES
WU, TYT
[J]. JOURNAL OF FLUID MECHANICS, 1987, 184 : 75 - 99

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