Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory
DOI10.1007/s00526-024-02672-1OpenAlexW4392807073MaRDI QIDQ6153197
Ting Zhang, Xueyun Lin, Cheng-Jie Liu
Publication date: 16 March 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-024-02672-1
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) General theory of rotating fluids (76U05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
Cites Work
- On the ill-posedness of the Prandtl equations in three-dimensional space
- Almost global existence for the Prandtl boundary layer equations
- An improved result on Rayleigh-Taylor instability of nonhomogeneous incompressible viscous flows
- On the Rayleigh-Taylor instability for two uniform viscous incompressible flows
- A well-posedness theory for the Prandtl equations in three space variables
- Spectral instability of characteristic boundary layer flows
- Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows
- The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition
- Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
- On the initial-boundary-value problem for the linearized equations of magnetohydrodynamics
- On the equations of ideal incompressible magneto-hydrodynamics
- On the global existence of solutions to the Prandtl's system.
- Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
- A note on the ill-posedness of shear flow for the MHD boundary layer equations
- Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids
- Nonlinear thermal instability in compressible viscous flows without heat conductivity
- Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity
- Almost global existence for the 3D Prandtl boundary layer equations
- Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity
- Analysis of the Tollmien-Schlichting wave in the Prandtl-Hartmann regime
- Magnetic effects on the solvability of 2D incompressible magneto-micropolar boundary layer equations without resistivity in Sobolev spaces
- On the dynamical stability and instability of parker problem
- Large time behavior for two-dimensional magneto-micropolar equations with only micro-rotational dissipation and magnetic diffusion
- Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points
- Formal derivation and stability analysis of boundary layer models in MHD
- On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids
- Global regularity and decay estimates for 2D magneto-micropolar equations with partial dissipation
- Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations
- Well-posedness for the Prandtl system without analyticity or monotonicity
- Gevrey Class Smoothing Effect for the Prandtl Equation
- On effects of viscosity and magnetic fields on the largest growth rate of linear Rayleigh–Taylor instability
- Remarks on the ill-posedness of the Prandtl equation
- Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
- Local well-posedness for 2D incompressible magneto-micropolar boundary layer system
- On the ill-posedness of the Prandtl equation
- Blowup of solutions of the unsteady Prandtl's equation
- On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh--Taylor Problem
- Almost global existence for 2D magnetohydrodynamics boundary layer system
- MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory
- Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption
- Global regularity for the 2D magneto‐micropolar system with partial and fractional dissipation
- 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 Rayleigh–Taylor Instability for the Incompressible Viscous Magnetohydrodynamic Equations
- Spectral instability of general symmetric shear flows in a two-dimensional channel
- Long time well-posedness of Prandtl system with small and analytic initial data
- Uniform regularity and vanishing viscosity limit for the incompressible non-resistive magneto-micropolar equations
- Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer
- On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations
- Unnamed Item
- Unnamed Item
This page was built for publication: Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory