Work

Eigenvalue regularity criterion for the MHD equations with fractional magnetic diffusion

Year: 2025

Type: article

Abstract: In this paper, we discuss the eigenvalue regularity criterion of the MHD equations with fractional magnetic diffusion in the three-dimensional whole space. We show that the results established by Neustupa-Penel[8,9,10] and Miller[7] can be extended to MHD equations with fractional magnetic diffusion. The proof involves combining the evolution equation for the strain tensor with the delicate structure of the nonlinear terms. As a by-product, we also obtain some new regularity criterion for the generalized MHD equations

Source: Evolution equations and control theory

DOI: 10.3934/eect.2025061

Author: Fan Wu

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413290303

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Cites: 17

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Related to: 10