Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations

DOI10.1007/s00021-021-00595-xzbMath1480.76157OpenAlexW3169919930WikidataQ112879306 ScholiaQ112879306MaRDI QIDQ2050574

Shuxing Zhang, Fu-Cai Li

Publication date: 31 August 2021

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

Full work available at URL: https://doi.org/10.1007/s00021-021-00595-x

zbMATH Keywords

classical solutionlow Mach number limituniform existencelarge entropy variationnon-isentropic ideal MHD equationsuniform divergence estimate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

Incompressible limit of nonisentropic Hookean elastodynamics ⋮ Incompressible Limit of Ideal Magnetohydrodynamic Equations with a Perfectly Conducting Wall Condition ⋮ The combined non-equilibrium diffusion and low Mach number limits of a model arising in radiation magnetohydrodynamics ⋮ Low Mach number limit of nonisentropic inviscid Hookean elastodynamics

Cites Work

• Singular limits of the equations of magnetohydrodynamics
• Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains
• Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces
• On the incompressible limits for the full magnetohydrodynamics flows
• Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations
• Three-scale singular limits of evolutionary PDEs
• Compressible fluid flow and systems of conservation laws in several space variables
• The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition
• Incompressible limit of full compressible magnetohydrodynamic equations with well-prepared data in 3-D bounded domains
• Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions
• The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
• Low Mach number limit for the compressible magnetohydrodynamic equations in a periodic domain
• Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions
• Incompressible limit of non-isentropic compressible magnetohydrodynamic equations with zero magnetic diffusivity in bounded domains
• Convergence of the compressible isentropic magnetohydrodynamic equations to the incompressible magnetohydrodynamic equations in critical spaces
• Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
• Asymptotic Limits of the Full Compressible Magnetohydrodynamic Equations
• Low Mach number limit for the multi-dimensional full magnetohydrodynamic equations
• SINGULAR LIMIT OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS IN THE PRESENCE OF STRONG STRATIFICATION
• Moderately Fast Three-Scale Singular Limits
• Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Estimating ∇u by divu and curlu
• Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics
• Singular limits of the equations of compressible ideal magneto-hydrodynamics in a domain with boundaries
• Singular limit of the nonisentropic compressible ideal MHD equations in a domain with boundary
• Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients
• Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations
• The incompressible limit of the non-isentropic Euler equations

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