Global smooth solutions of the 3D Hall-magnetohydrodynamic equations\n with large data

2019/06/10 by Jinlu Li, Xing Wu, Li, Jinlu +2
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1906.03953

openalex publication_date 2019/06/10 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish the global existence to the three-dimensional\nincompressible Hall-MHD equations for a class of large initial data, whose\nL^\∞ norms can be arbitrarily large. In addition , we give an example\nto show that such a large initial value does exist. Our idea is splitting the\ngeneralized heat equations from Hall-MHD system to generate a small quantity\nfor large time t.\n

Related

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