On a shallow-water model with the Coriolis effect

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Luo, Ting¹  Liu, Yue²  Mi, Yongsheng³  Moon, Byungsoo⁴ 

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

[3] Yangtze Normal Univ, Coll Math & Stat, Chongqing 408100, Peoples R China

[4] Incheon Natl Univ, Res Inst Basic Sci, Dept Math, Incheon 22012, South Korea

关键词: Shallow water;    Asymptotic model;    Coriolis force;    Green-Naghdi equations;    Wave breaking;    Traveling wave;   

DOI  :  10.1016/j.jde.2019.04.005

来源: Elsevier

【 摘 要 】

In the present study an asymptotic model for wave propagation in shallow water with the effect of the Coriolis force is derived from the governing equation in two dimensional flows. The transport equation theory is then applied to investigate the local well-posedness and wave breaking phenomena for this model. The nonexistence of the Camassa-Holm-type peaked solution and classification of various traveling-wave solutions to the new system are also established. Moreover it is shown that all the symmetric waves to this model are traveling waves. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free