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Ill-posedness of incompressible Kelvin–Helmholtz problem with transverse magnetic field

Year: 2025

Type: article

Abstract: In this paper, we prove the linear and nonlinear ill-posedness of the well-known Kelvin–Helmholtz problem of the incompressible ideal magnetohydrodynamics (MHD) equations with transverse magnetic field. Our analysis rigorously verifies that “the development of the Kelvin–Helmholtz instability, in the direction of the streaming, is uninfluenced by the presence of the magnetic field in the transverse direction” which was proposed by Chandrasekhar [Hydrodynamic and Hydromagnetic stability (Oxford University Press, New York, 1961)].

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0268159

Authors: Binqiang Xie, Boling Guo, Bin Zhao

Institutions: Guangdong University of Technology, Institute of Applied Physics and Computational Mathematics

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China, Guangzhou Municipal Science and Technology Project

OpenAlex ID: W4417322949

FWCI: 3.741

Cites: 18

Cited by: 2

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