Diffusion vanishing limit of the nonlinear pipe magnetohydrodynamic flow with fixed viscosity

DOI10.1016/S0252-9602(18)30770-7zbMath1399.35303OpenAlexW2789827523MaRDI QIDQ1637048

Shu Wang, Zhonglin Wu

Publication date: 7 June 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30770-7

zbMATH Keywords

boundary layercorrectorPrandtl theoryincompressible viscous MHD systemnonmagnetic MHD system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) NLS equations (nonlinear Schrödinger equations) (35Q55) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

On the steady Prandtl type equations with magnetic effects arising from 2D incompressible MHD equations in a half plane

Cites Work

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• Boundary layer for a class of nonlinear pipe flow
• Asymptotic behavior of global smooth solutions for bipolar compressible Navier-Stokes-Maxwell system from plasmas
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Zero viscosity and diffusion vanishing limit of the incompressible magnetohydrodynamic system with perfectly conducting wall
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition
• Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
• Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
• Viscous and inviscid magneto-hydrodynamics equations
• Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
• Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case
• Existence and asymptotic representation of weak solutions to the flowing problem under the condition of regular slippage on solid walls
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Inéquations en thermoélasticité et magnétohydrodynamique
• Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
• Some mathematical questions related to the mhd equations
• Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane
• Ekman layers of rotating fluids, the case of well prepared initial data
• Blowup of solutions of the unsteady Prandtl's equation
• Regularity Criteria for the Generalized MHD Equations

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