Stability of the boundary layer expansion for the 3D plane parallel MHD flow
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Publication:5855654
DOI10.1063/5.0031449zbMath1460.76925arXiv2009.04668OpenAlexW3132352042MaRDI QIDQ5855654
Dong-juan Niu, Zhilin Lin, Shijin Ding
Publication date: 19 March 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.04668
PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Magnetohydrodynamics and electrohydrodynamics (76W05)
Cites Work
- Unnamed Item
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- On the ill-posedness of the Prandtl equations in three-dimensional space
- Boundary layer for a class of nonlinear pipe flow
- Steady Prandtl boundary layer expansions over a rotating disk
- Zero-viscosity limit of the Navier-Stokes equations in the analytic setting
- The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition
- 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
- On the equations of ideal incompressible magneto-hydrodynamics
- A note on the ill-posedness of shear flow for the MHD boundary layer equations
- Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate
- On the zero-viscosity limit of the Navier-Stokes equations in \(\mathbb R_+^3\) without analyticity
- Boundary layer for 3D plane parallel channel flows of nonhomogeneous incompressible Navier-Stokes equations
- Global steady Prandtl expansion over a moving boundary. I
- Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain
- Global steady Prandtl expansion over a moving boundary. II
- Global steady Prandtl expansion over a moving boundary. III
- Formal derivation and stability analysis of boundary layer models in MHD
- Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations
- An Introduction to Magnetohydrodynamics
- A Kato type theorem on zero viscosity limit of Navier-Stokes flows
- Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
- Some mathematical questions related to the mhd equations
- Boundary layer associated with a class of 3D nonlinear plane parallel channel flows
- On the ill-posedness of the Prandtl equation
- Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane
- Boundary layer problem of MHD system with non-characteristic perfect conducting wall
- Viscosity vanishing limit of the nonlinear pipe magnetohydrodynamic flow with diffusion
- On the steady Prandtl type equations with magnetic effects arising from 2D incompressible MHD equations in a half plane
- MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory
- Boundary layer problems in the vanishing viscosity-diffusion\\ limits for the incompressible MHD system
- Justification of Prandtl Ansatz for MHD Boundary Layer
- Well-posedness of the Prandtl equation in Sobolev spaces
- On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane