Global existence and wave breaking for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term

Jiaxing Li

doi:10.1117/12.2679043

14 June 2023 Global existence and wave breaking for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term

Jiaxing Li

Author Affiliations +

Proceedings Volume 12725, International Conference on Pure, Applied, and Computational Mathematics (PACM 2023); 127250X (2023) https://doi.org/10.1117/12.2679043
Event: International Conference on Pure, Applied, and Computational Mathematics (PACM 2023), 2023, Suzhou, China

Abstract

In this paper, we focus on the Cauchy problem for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term. We will investigate 3 aspects. First, we present some key facts about local well-posedness and blow-up criteria. Second, the wave-breaking phenomenon will be ensured by displaying some conditions related to the initial data. Then we present some results about the wave breaking criteria. We finally explore the global existence problem.

Citation Download Citation

Jiaxing Li "Global existence and wave breaking for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term", Proc. SPIE 12725, International Conference on Pure, Applied, and Computational Mathematics (PACM 2023), 127250X (14 June 2023); https://doi.org/10.1117/12.2679043

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