2010/12/24 by Jingjing Liu, Zhaoyang Yin, Liu, Jingjing +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP
paper · pdf · doi:10.48550/arxiv.1012.5349
openalex publication_date 2010/12/24 · arxiv created 2011/03/25 · arxiv updated 2011/03/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we study the Cauchy problem of a periodic 2-component μ-Hunter-Saxton system. We first establish the local well-posedness for the periodic 2-component μ-Hunter-Saxton system by Kato's semigroup theory. Then, we derive precise blow-up scenarios for strong solutions to the system. Moreover, we present a blow-up result for strong solutions to the system. Finally, we give a global existence result to the system.