Vanishing dielectric constant regime for the Navier Stokes Maxwell equations

DOI10.1007/s00030-016-0378-xzbMath1358.35114OpenAlexW2297892196MaRDI QIDQ506007

Donatella Donatelli, Stefano Spirito

Publication date: 27 January 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-016-0378-x

zbMATH Keywords

MHDsingular limitNavier-Stokes-Maxwell equationshigher order estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Maxwell equations (35Q61)

Related Items (6)

The incompressible limit for compressible MHD equations in \(L^p\) type critical spaces ⋮ On the role of the displacement current and the Cattaneo's law on boundary layers of plasma ⋮ Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary ⋮ Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier-Sobolev space ⋮ Newtonian limit for the relativistic Euler-Poisson equations with vacuum ⋮ Zero dielectric constant limit of the full magnet-hydro-dynamics system

Cites Work

• Unnamed Item
• Remarks about the inviscid limit of the Navier-Stokes system
• Global well posedness for the Maxwell-Navier-Stokes system in 2D
• On the diffusive stress relaxation for multidimensional viscoelasticity
• Magnetohydrodynamic approximation of the complete equations for an electro-magnetic fluid
• Magnetohydrodynamic approximation of the complete equations for an electromagnetic fluid. II
• Hyperbolic to parabolic relaxation theory for quasilinear first order systems
• A derivation of the magnetohydrodynamic system from Navier-Stokes-Maxwell systems
• Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models
• An Introduction to Magnetohydrodynamics
• Rigorous derivation of the compressible magnetohydrodynamic equations from the electromagnetic fluid system
• Some mathematical questions related to the mhd equations
• Nonlinear Schrödinger evolution equations
• On a relaxation approximation of the incompressible Navier-Stokes equations
• Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems
• Derivation of Ohm's Law from the Kinetic Equations
• Well-posedness of the Navier—Stokes—Maxwell equations

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