Dynamic stability for steady Prandtl solutions (Q6067396)

scientific article; zbMATH DE number 7778261

Language	Label	Description	Also known as
English	Dynamic stability for steady Prandtl solutions	scientific article; zbMATH DE number 7778261

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instance of

scholarly article

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title

Dynamic stability for steady Prandtl solutions (English)

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published in

Annals of PDE

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publication date

14 December 2023

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full work available at URL

https://arxiv.org/abs/2208.00569

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zbMATH Keywords

Prandtl equation

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Blasius solution

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dynamic stability

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global Oleinik monotone solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Well-posedness of the Prandtl equation in Sobolev spaces

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Well-posedness of the linearized Prandtl equation around a non-monotonic shear flow

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Singularities and unsteady separation for the inviscid two-dimensional Prandtl system

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Separation for the stationary Prandtl equation

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Well-posedness of the Prandtl equations without any structural assumption

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Blowup of solutions of the unsteady Prandtl's equation

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On the steady Prandtl boundary layer expansions

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On the ill-posedness of the Prandtl equation

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Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations

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Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows

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Well-posedness for the Prandtl system without analyticity or monotonicity

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Remarks on the ill-posedness of the Prandtl equation

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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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Spectral stability of Prandtl boundary layers: an overview

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\(L^\infty\) instability of Prandtl layers

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Sublayer of Prandtl boundary layers

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Regularity and expansion for steady Prandtl equations

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Steady Prandtl layer expansions with external forcing

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A note on Prandtl boundary layers

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Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate

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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 Prandtl boundary layer equations

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On global-in-\(x\) stability of Blasius profiles

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Global steady Prandtl expansion over a moving boundary. III

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Global steady Prandtl expansion over a moving boundary. II

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Global steady Prandtl expansion over a moving boundary. I

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Steady Prandtl Layers Over a Moving Boundary: Nonshear Euler Flows

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Steady Prandtl boundary layer expansions over a rotating disk

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Q5185447

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The van Dommelen and Shen singularity in the Prandtl equations

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

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Well-Posedness of the Boundary Layer Equations

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On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane

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

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Q4256682

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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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Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution

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Q4939496

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Asymptotic behaviour of velocity profiles in the Prandtl boundary layer theory

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Boundary layer separation and local behavior for the steady Prandtl equation

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Zero-viscosity limit of the Navier-Stokes equations in the analytic setting

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Global \(C^\infty\) regularity of the steady Prandtl equation with favorable pressure gradient

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Asymptotic behavior of the steady Prandtl equation

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Back Flow of the Two-dimensional Unsteady Prandtl Boundary Layer Under an Adverse Pressure Gradient

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

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Identifiers

zbMATH Open document ID

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10.1007/s40818-023-00160-x

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6067396