A class large solution of the 3D Hall-magnetohydrodynamic equations

2019/03/06 by Jinlu Li, Li, Jinlu, Yanghai Yu +3
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1903.02299

openalex publication_date 2019/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish the global existence to the three-dimensional incompressible Hall-MHD equations for a class of large initial data, whose L^∞ norms can be arbitrarily large.

Related

• Global smooth solutions of the 3D Hall-magnetohydrodynamic equations\n with large data
• Existence and stability of global large strong solutions for the\n Hall-MHD system
• Global well-posedness to the 3D incompressible MHD equations with a new class of large initial data
• Global existence of solutions for the Hall-MHD equations
• Well-posedness for Hall-magnetohydrodynamics