Convergence from two-fluid incompressible Navier-Stokes-Maxwell system with Ohm's law to solenoidal Ohm's law: classical solutions

DOI10.1016/j.jde.2019.12.006zbMath1437.35538OpenAlexW2995176452WikidataQ126535632 ScholiaQ126535632MaRDI QIDQ1986509

Ning Jiang, Shaojun Tang, Yi-Long Luo

Publication date: 8 April 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.12.006

zbMATH Keywords

singular limitsuniform estimateNavier-Stokes-Maxwell system(solenoidal) Ohm's law

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Viscous-inviscid interaction (76D09) Classical solutions to PDEs (35A09)

Related Items (3)

Global well-posedness and optimal decay rate of the quasi-static incompressible Navier-Stokes-Fourier-Maxwell-Poisson system ⋮ The two-fluid incompressible Navier–Stokes–Maxwell system: Green’s function and optimal decay rate ⋮ Optimal decay rate and convergence of the incompressible viscous resistive MHD system

Cites Work

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• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• A derivation of the magnetohydrodynamic system from Navier-Stokes-Maxwell systems
• An Introduction to Magnetohydrodynamics
• Global Small Solutions for the Navier–Stokes–Maxwell System
• Well-posedness of the Navier—Stokes—Maxwell equations

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