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

2024/05/20 by Lingli Hu, Zhaoyang Yin, Hu, Lingli +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2405.11813

openalex publication_date 2024/05/20 · openalex created_date 2024/05/22 · openalex updated_date 2026/07/28

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≤ p<+∞. Then we present a new blow-up result for the Two-Component b-Family equations.

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