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Stability and Large‐Time Behavior for 2D Magnetic Bénard System With Fractional Partial Dissipation in 𝕋×ℝ∗

Year: 2025

Type: article

Abstract: ABSTRACT In this paper, we focus on the incompressible two‐dimensional magnetic Bénard system with fractional magnetic diffusion and thermal diffusivity in the horizontal direction in the domain . Global stability in and explicit exponential large‐time decay rate of the solution are obtained. Our analysis proceeds by decomposing quantities into a horizontal average and an oscillation component. A pivotal aspect of our analysis is to maximize the hidden dissipation within the equations.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70392

Author: Yuanyuan Zhang

Institution: Nanjing University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4417105067

FWCI:

Cites: 36

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