Local well-posedness of the Hall-MHD system in H^s(\mathbb Rⁿ) with s>\frac n2

2017/09/07 by Mimi Dai, Dai, Mimi
Mathematics · Physics and Astronomy · #35D35 #35Q35 #76D03 #76W05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1709.02347

openalex publication_date 2017/09/07 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We establish local well-posedness of the Hall-magneto-hydrodynamics (Hall-MHD) system in the Sobolev space (H^s(ℝⁿ))² with s>\frac n2. The previously known local well-posedness space was (H^s(ℝⁿ))² with s>\frac n2+1. Thus the result presented here is an improvement.

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