Chenhua Wang, Fuyi Xu, Global well-posedness for the 2D incompressible Cahn-Hilliard-MHD equations with mixed partial viscosity, magnetic diffusion, and mobility, Vol. 2026 (2026), No. 11, pp. 1-20

Full Text: PDF
DOI: 10.23952/jnfa.2026.11

Received October 13, 2025; Accepted February 22, 2026; Published April 20, 2026

Abstract. This paper focuses on the Cauchy problem of the 2D incompressible Cahn-Hilliard-MHD equations. We construct the global well-posedness of strong solutions to the model without full viscosity, magnetic diffusion, and mobility.

How to Cite this Article:
C. Wang, F. Xu, Global well-posedness for the 2D incompressible Cahn-Hilliard-MHD equations with mixed partial viscosity, magnetic diffusion, and mobility, J. Nonlinear Funct. Anal. 2026 (2026) 11.