Well-posedness of Korteweg-de Vries-Benjamin Bona Mahony equation on a finite domain

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:452

Article

Li, Jie¹  Liu, Kangsheng¹ 

[1] Zhejiang Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China

关键词: Korteweg-de Vries-Benjamin Bona;    Mahony equation;    Finite domain;    Well-posedness;    Nonhomogeneous boundary;    Semigroup;    Nonlinear interpolation;   

DOI  :  10.1016/j.jmaa.2017.02.038

来源: Elsevier

【 摘 要 】

In this paper, we consider the Korteweg-de Vries-Benjamin Bona Mahony equation on a finite domain with initial value and nonhomogeneous boundary conditions. This particular problem arises from the phenomenon of long wave with small amplitude in fluid. We get the global well-posedness of this system. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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