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arXiv · 2601.21295

Blow-up phemomenon for the Geng-Xue system and related models

Song Liu·Zhaoyang Yin
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Abstract

In this paper, we consider the Cauchy problem of the Geng-Xue system with cubic nonlinearity. Firstly, we prove a blow-up criteria in the low besov space. Secondly, we prove the blow-up phenomenon by using the method which does not require any conservation law. Finally, we extend our results to the b-family of two-component system with cubic nonlinearity.

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Song Liu, Zhaoyang Yin. 2026-01-29. Blow-up phemomenon for the Geng-Xue system and related models. https://arxiv.org/abs/2601.21295

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