On a shallow-water model with the Coriolis effect

Ting Luo,Yue Liu,Yongsheng Mi,Byungsoo Moon

doi:10.1016/j.jde.2019.04.005

On a shallow-water model with the Coriolis effect

Ting Luo, Yue Liu + Show 2 more

https://doi.org/10.1016/j.jde.2019.04.005

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Journal: Journal of Differential Equations	Publication Date: Apr 17, 2019
Citations: 3

Affiliation: Incheon National University, The University of Texas at Arlington, Institute of Applied Physics and Computational Mathematics, Yangtze Normal University

#Wave Propagation In Shallow Water #Propagation In Shallow Water + Show 8 more

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Abstract

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.

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