Work

Global solution of 3D MHD-Boussinesq system with mixed partial dissipation and thermal damping

Year: 2024

Type: article

Abstract: In this paper, we consider the initial value problem for the three-dimensional MHD-Boussinesq system with mixed partial dissipation and thermal damping. This system characterizes the dynamics of velocity, magnetic field and temperature perturbations near hydrostatic equilibrium. By exploiting the special structure of this system, we use 'double energy' to establish two desired energy inequalities. Then, we employ the bootstrapping argument to obtain the global stability and the large time behavior of the classical solution.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2024118

Authors: Zhengyan Luo, Linglong Du, Chunyou Sun

Institution: Donghua University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402416427

FWCI: 1.562

Cites: 30

Cited by: 2

Related to: 10