APPROXIMATING INITIAL-VALUE PROBLEMS WITH TWO-POINT BOUNDARY-VALUE PROBLEMS: BBM-EQUATION

被引：0

作者：

Bona, J. L. ^{[2
]}

Chen, H. ^{[1
]}

Sun, S. -M. ^{[3
]}

Zhang, B. -Y. ^{[4
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[3] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

[4] Univ Cincinnati, Dept Math, Cincinnati, OH 45221 USA

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2010年 / 36卷 / 01期

关键词：

KdV-equation; BBM-equation; regularized long wave equation; AMPLITUDE LONG WAVES; NONLINEAR DISPERSIVE SYSTEMS; MODEL-EQUATIONS; QUARTER-PLANE; BOUSSINESQ EQUATIONS; VRIES EQUATION; WATER-WAVES; PROPAGATION; KORTEWEG; MEDIA;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The focus of the present study is the BBM equation which models unidirectional propagation of small amplitude, long waves in dispersive media. This evolution equation has been used in both laboratory and field studies of water waves. The principal new result is an exact theory of convergence of the two-point boundary-value problem to the initial-value problem posed on an infinite stretch of the medium of propagation. In addition to their intrinsic interest, our results provide justification for the use of the two-point boundary-value problem in numerical studies of the initial-value problem posed on the entire line.

引用

页码：1 / 25

页数：25

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