Work

Stabilization and Large‐Time Behavior for 2D Magnetic BéNard System With Partial Dissipation

Year: 2025

Type: article

Abstract: ABSTRACT This paper establishes the stability and large‐time behavior for 2D magnetic Bénard system with partial dissipation on perturbation near the hydrostatic equilibrium state . Neglecting the effect of the temperature and the magnetic field, the fluid velocity is governed by 2D incompressible Euler equation with partial velocity damping, whose stability is a challenging problem in whole space . The stability result here provides a significant example for the stabilizing effects of the magnetic field on electrically conducting fluids.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10756

Authors: Ying Dai, Suhua Lai, Jianwen Zhang

Institutions: Xiamen University, Jiangxi Normal University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Natural Science Foundation of Jiangxi Province, Education Department of Jiangxi Province