Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory (Q6153197)

scientific article; zbMATH DE number 7819605

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English	Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory	scientific article; zbMATH DE number 7819605

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instance of

scholarly article

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title

Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory (English)

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Calculus of Variations and Partial Differential Equations

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publication date

16 March 2024

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zbMATH Keywords

magneto-micropolar system

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Prandtl boundary layer

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00526-024-02672-1

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cites work

MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory

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Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity

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Global regularity for the 2D magneto‐micropolar system with partial and fractional dissipation

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Global regularity and decay estimates for 2D magneto-micropolar equations with partial dissipation

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Large time behavior for two-dimensional magneto-micropolar equations with only micro-rotational dissipation and magnetic diffusion

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Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity

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Local well-posedness for 2D incompressible magneto-micropolar boundary layer system

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Justification of Prandtl Ansatz for MHD Boundary Layer

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Q4256682

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Formal derivation and stability analysis of boundary layer models in MHD

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Almost global existence for 2D magnetohydrodynamics boundary layer system

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On the global existence of solutions to the Prandtl's system.

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Well-posedness of the Prandtl equation in Sobolev spaces

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Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods

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On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions

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Blowup of solutions of the unsteady Prandtl's equation

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Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation

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On the ill-posedness of the Prandtl equation

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Remarks on the ill-posedness of the Prandtl equation

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Q2711849

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Spectral instability of characteristic boundary layer flows

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Spectral instability of general symmetric shear flows in a two-dimensional channel

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Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations

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Almost global existence for the 3D Prandtl boundary layer equations

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On the ill-posedness of the Prandtl equations in three-dimensional space

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A well-posedness theory for the Prandtl equations in three space variables

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Almost global existence for the Prandtl boundary layer equations

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Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations

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Long time well-posedness of Prandtl system with small and analytic initial data

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Well-posedness for the Prandtl system without analyticity or monotonicity

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Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption

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Gevrey Class Smoothing Effect for the Prandtl Equation

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Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points

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A note on the ill-posedness of shear flow for the MHD boundary layer equations

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On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations

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On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh--Taylor Problem

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Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids

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On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids

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On the dynamical stability and instability of parker problem

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On the Rayleigh–Taylor Instability for the Incompressible Viscous Magnetohydrodynamic Equations

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Analysis of the Tollmien-Schlichting wave in the Prandtl-Hartmann regime

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Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer

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Magnetic effects on the solvability of 2D incompressible magneto-micropolar boundary layer equations without resistivity in Sobolev spaces

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Uniform regularity and vanishing viscosity limit for the incompressible non-resistive magneto-micropolar equations

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An improved result on Rayleigh-Taylor instability of nonhomogeneous incompressible viscous flows

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On effects of viscosity and magnetic fields on the largest growth rate of linear Rayleigh–Taylor instability

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Nonlinear thermal instability in compressible viscous flows without heat conductivity

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On the Rayleigh-Taylor instability for two uniform viscous incompressible flows

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Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows

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On the equations of ideal incompressible magneto-hydrodynamics

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The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00526-024-02672-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:6153197