Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces
From MaRDI portal
Publication:785850
DOI10.1016/j.jfa.2020.108637zbMath1445.76097arXiv2002.11888OpenAlexW3026359381MaRDI QIDQ785850
Dehua Wang, Cheng-Jie Liu, Feng Xie, Tong Yang
Publication date: 12 August 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.11888
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items
On the Hydrostatic Approximation of the MHD Equations in a Thin Strip, Global strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinity, Global Well-Posedness of the 2D MHD Equations of Damped Wave Type in Sobolev Space, Uniform regularity estimates and inviscid limit for the compressible non-resistive magnetohydrodynamics system, Magnetic effects on the solvability of 2D incompressible magneto-micropolar boundary layer equations without resistivity in Sobolev spaces, Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics equations, Global Well-Posedness of Solutions to 2D Prandtl-Hartmann Equations in Analytic Framework, Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction, Vanishing dissipation limit of solutions to initial boundary value problem for three dimensional incompressible magneto-hydrodynamic equations with transverse magnetic field, Local-in-time well-posedness theory for the inhomogeneous MHD boundary layer equations without resistivity in lower regular Sobolev space, The well posedness of solutions for the 2D magnetomicropolar boundary layer equations in an analytic framework, Stability and sharp decay for 3D incompressible MHD system with fractional horizontal dissipation and magnetic diffusion, 3D Hyperbolic Navier-Stokes Equations in a Thin Strip: Global Well-Posedness and Hydrostatic Limit in Gevrey Space, Sharp decay estimates for 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion, The Cauchy problem for the nonisentropic compressible MHD fluids: Optimal time‐decay rates, Global small solutions of MHD boundary layer equations in Gevrey function space, Gevrey well-posedness of the MHD boundary layer system with temperature, Well-posedness in Gevrey function space for the 3D axially symmetric MHD boundary layer equations without structural assumption, Separation of the two-dimensional steady MHD boundary layer, Long time well-posedness of compressible magnetohydrodynamic boundary layer equations in Sobolev spaces, Decay-in-time of the highest-order derivatives of solutions for the compressible isentropic MHD equations, Local well-posedness of solutions to the boundary layer equations for compressible two-fluid flow, Well-posedness in Sobolev spaces of the two-dimensional MHD boundary layer equations without viscosity, Global well-posedness of a Prandtl model from MHD in Gevrey function spaces, Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption, Uniform regularity and vanishing viscosity limit for the incompressible non-resistive MHD system with TMF, Stability and exponential decay of the magnetic Bénard system with horizontal dissipation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the ill-posedness of the Prandtl equations in three-dimensional space
- Almost global existence for the Prandtl boundary layer equations
- On the local existence of analytic solutions to the Prandtl boundary layer equations
- Global small solutions of 2-D incompressible MHD system
- A well-posedness theory for the Prandtl equations in three space variables
- Zero-viscosity limit of the Navier-Stokes equations in the analytic setting
- Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure
- Compressible fluid flow and systems of conservation laws in several space variables
- 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 global existence of solutions to the Prandtl's system.
- Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows
- A note on the ill-posedness of shear flow for the MHD boundary layer equations
- On the zero-viscosity limit of the Navier-Stokes equations in \(\mathbb R_+^3\) without analyticity
- Local-in-time well-posedness for compressible MHD boundary layer
- The inviscid limit of Navier-Stokes equations for analytic data on the half-space
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- Well-posedness of the Prandtl equations without any structural assumption
- Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points
- Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay
- Formal derivation and stability analysis of boundary layer models in MHD
- Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow
- Well-posedness for the Prandtl system without analyticity or monotonicity
- Gevrey Class Smoothing Effect for the Prandtl Equation
- Remarks on the ill-posedness of the Prandtl equation
- Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
- A note on Prandtl boundary layers
- On the ill-posedness of the Prandtl equation
- Blowup of solutions of the unsteady Prandtl's equation
- Well-Posedness of the Boundary Layer Equations
- Global-in-Time Stability of 2D MHD Boundary Layer in the Prandtl--Hartmann Regime
- MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory
- On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions
- 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
- Long time well-posedness of Prandtl system with small and analytic initial data
