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Global Existence and Blow‐Up for a Weakly Dissipative Modified Two‐Component Camassa‐Holm System

Xuanxuan Han, Tingting Wang and Yibin Lu

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

Abstract: In this paper, we consider a weakly dissipative modified two‐component Camassa‐Holm system. We demonstrate a simple sufficient condition on initial data to guarantee blow‐up of solutions in finite time, and the solutions exist globally in time.

Date: 2022
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https://doi.org/10.1155/2022/6422155

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