Work

Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations

Year: 2026

Type: article

Abstract: ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast rotation, and show that the velocity and magnetic field converge to the zero vector and the solution to the linear heat equation, respectively. We also derive the rates of these convergences in some space‐time norm.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.70152

Author: Hiroki Ohyama

Institution: Kyoto University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,460

Funder: Japan Society for the Promotion of Science