Work

The effect of viscous coefficients on the lifespan of 3-D anisotropic magnetohydrodynamic system

Year: 2025

Type: article

Abstract: In this paper, the authors investigate some lower bound estimates of the lifespan of magnetohydrodynamic equations with full dissipation and that of anisotropic magnetohydrodynamic equations. They first obtain the lower bound of the lifespan to magnetohydrodynamic equations when the viscosity coefficients $ \nu_1,\nu_2,\nu_3 $ and the magnetic diffusion coefficients $ \mu_1,\mu_2,\mu_3 $ are all positive. Then, they also establish the lower bound of the lifespan when some of them vanish. The lower bounds of the lifespan show that the effect of the influence on these lower bound estimates associated with these weights of $ \mu_1,\mu_2,\mu_3 $ and $ \nu_1,\nu_2,\nu_3 $ are different. These results help to understand the nonlinear structure of the magnetohydrodynamic system more comprehensively.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025161

Authors: Dongxiang Chen, Yaqi Wan, Xiaoli Chen

Institution: Jiangxi Normal University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Jiangxi Province, Jiangxi Normal University

Awards: G2056746692, G411041247, G7035867383, G8664488367