Gevrey stability of Rayleigh boundary layer in the inviscid limit (Q2061635)

scientific article; zbMATH DE number 7446439

Language	Label	Description	Also known as
English	Gevrey stability of Rayleigh boundary layer in the inviscid limit	scientific article; zbMATH DE number 7446439

Statements

instance of

scholarly article

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title

Gevrey stability of Rayleigh boundary layer in the inviscid limit (English)

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author

Yasunori Maekawa

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published in

Journal of Elliptic and Parabolic Equations

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publication date

16 December 2021

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zbMATH Keywords

Gevrey class

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inviscid limit problem

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Prandtl boundary layer expansion

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Navier-Stokes equations

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s41808-021-00128-7

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cites work

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Well-posedness of Prandtl equations with non-compatible data

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

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Well-posedness of the Prandtl equations without any structural assumption

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Hydrodynamic Stability

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On the zero-viscosity limit of the Navier-Stokes equations in $\mathbb R_+^3$ without analyticity

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Interaction of vortices in weakly viscous planar flows

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Global stability of vortex solutions of the two-dimensional Navier-Stokes equation

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On the ill-posedness of the Prandtl equation

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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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On the nonlinear instability of Euler and Prandtl equations.

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

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Spectral instability of characteristic boundary layer flows

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$L^\infty$ instability of Prandtl layers

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Green Function of Orr--Sommerfeld Equations Away from Critical Layers

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Q5185447

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On the local existence of analytic solutions to the Prandtl boundary layer equations

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The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary

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

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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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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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The inviscid limit of Navier-Stokes equations for analytic data on the half-space

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The Inviscid Limit of Navier--Stokes Equations for Vortex-Wave Data on $\mathbb R^2$

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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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Zero-viscosity limit of the Navier-Stokes equations in a simply-connected bounded domain under the analytic setting

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

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

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Identifiers

zbMATH Open document ID

1479.35627

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Mathematics Subject Classification ID

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10.1007/S41808-021-00128-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2061635