On the temporal decay for the Hall-magnetohydrodynamic equations

2013/02/19 by Dongho Chae, Chae, Dongho, María E. Schonbek +1 · 2 citations
Mathematics · #35Q35 #35Q85 #76W05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1302.4601

openalex publication_date 2013/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish temporal decay estimates for weak solutions to the Hall-magnetohydrodynamic equations. With these estimates in hand we obtain algebraic time decay for higher order Sobolev norms of small initial data solutions.

Citations

• Well-posedness for Hall-magnetohydrodynamics

Cited by

• Lifespan of the Non-resistive Hall-MHD System with Small Magnetic Gradient
• Non-uniqueness of weak solutions to the 3D Hall-MHD equations on the plane

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