Blow-up phemomenon for the Geng-Xue system and related models
Analysis of PDEs
2026-01-30 v1
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.
Cite
@article{arxiv.2601.21295,
title = {Blow-up phemomenon for the Geng-Xue system and related models},
author = {Song Liu and Zhaoyang Yin},
journal= {arXiv preprint arXiv:2601.21295},
year = {2026}
}