The Cauchy problem of a periodic 2-component μ-Hunter-Saxton system in Besov spaces

2012/06/16 by Jingjing Liu, Liu, Jingjing
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algorithm #Analysis of PDEs (math.AP) #Applied mathematics #Besov space #Cauchy distribution #Component (thermodynamics) #FOS: Mathematics #Functional analysis #Interpolation space #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #State (computer science) #math.AP

paper · pdf · doi:10.48550/arxiv.1206.3659

arxiv created 2012/06/16 · openalex publication_date 2012/06/16 · arxiv updated 2012/06/19 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with the local well-posedness and the precise blow-up scenario for a periodic 2-component μ-Hunter-Saxton system in Besov spaces. Moreover, we state a new global existence result to the system. Our obtained results for the system improve considerably earlier results.

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