Blow-up phenomena and the local well-posedness of a Two-Component b-Family Equations in Besov spaces

Lingli Hu; Zhaoyang Yin

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arXiv · 2405.11813

Blow-up phenomena and the local well-posedness of a Two-Component b-Family Equations in Besov spaces

Lingli Hu·Zhaoyang Yin

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Abstract

In this paper, we first establish the local well-posednesss of a Two-Component b-Family equations in nonhomogeneous Besov spaces $B^{1+\frac 1 p}_{p,1}$ with $1\leq p<+\infty.$ Then we present a new blow-up result for the Two-Component b-Family equations.

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Lingli Hu, Zhaoyang Yin. 2024-05-20. Blow-up phenomena and the local well-posedness of a Two-Component b-Family Equations in Besov spaces. https://arxiv.org/abs/2405.11813

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