Singular limits of the equations of magnetohydrodynamics

DOI10.1007/s00021-009-0007-0zbMath1270.35367OpenAlexW2098920498MaRDI QIDQ361114

Peter Kukučka

Publication date: 28 August 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-009-0007-0

zbMATH Keywords

Maxwell equationsOberbeck-Boussinesq approximationNavier-Stokes-Fourier system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (12)

Low Mach number limit for the full compressible magnetohydrodynamic equations without thermal conductivity ⋮ Incompressible limit for the full magnetohydrodynamics flows under strong stratification on unbounded domains ⋮ Low Mach number limit for a model of accretion disk ⋮ Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains ⋮ Incompressible Limit of Ideal Magnetohydrodynamic Equations with a Perfectly Conducting Wall Condition ⋮ On the incompressible limits for the full magnetohydrodynamics flows ⋮ Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data ⋮ Small Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundaries ⋮ Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations ⋮ Global strong solutions to the 1-D compressible magnetohydrodynamic equations with zero resistivity ⋮ Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations ⋮ Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations

Cites Work

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• The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
• The low Mach number limit for the full Navier-Stokes-Fourier system
• Incompressible limit for a viscous compressible fluid
• Singular limits in the data space for the equations of magneto-fluid dynamics
• Low Mach number limit of the full Navier-Stokes equations
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Nearly incompressible fluids. II: Magnetohydrodynamics, turbulence, and waves
• Singular limits in thermodynamics of viscous fluids

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