The Three-Dimensional Inviscid Limit Problem with Data Analytic Near the Boundary (Q5116572)

scientific article; zbMATH DE number 7236524

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English	The Three-Dimensional Inviscid Limit Problem with Data Analytic Near the Boundary	scientific article; zbMATH DE number 7236524

Statements

instance of

scholarly article

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title

The Three-Dimensional Inviscid Limit Problem with Data Analytic Near the Boundary (English)

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author

Fei Wang

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published in

SIAM Journal on Mathematical Analysis

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publication date

18 August 2020

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full work available at URL

https://arxiv.org/abs/1910.14449

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zbMATH Keywords

inviscid limit

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Navier-Stokes

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boundary layer

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Prandtl equations

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Euler equations

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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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Vorticity boundary conditions and boundary vorticity generation for two- dimensional viscous incompressible flows

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Vorticity measures and the inviscid limit

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Remarks on high Reynolds numbers hydrodynamics and the inviscid limit

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The inviscid limit for non-smooth vorticity

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Well-posedness of the Prandtl equations without any structural assumption

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Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit

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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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Q2711849

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Spectral stability of Prandtl boundary layers: an overview

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

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

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A note on Prandtl boundary layers

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Boundary layer for a class of nonlinear pipe flow

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Almost global existence for the Prandtl boundary layer equations

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A remark on the inviscid limit for two-dimensional incompressible fluids

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Q5185447

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Vanishing viscosity and the accumulation of vorticity on the boundary

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On the vanishing viscosity limit in a disk

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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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Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay

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Well-Posedness of the Boundary Layer Equations

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Vanishing viscosity limit for incompressible flow inside a rotating circle

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Solution formula for the vorticity equations in the half plane with application to high vorticity creation at zero viscosity limit

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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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Example of zero viscosity limit for two-dimensional nonstationary Navier- Stokes flows with boundary

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Vanishing viscosity plane parallel channel flow and related singular perturbation problems

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

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On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid

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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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Q4538034

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

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A Kato type theorem on zero viscosity limit of Navier-Stokes flows

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Identifiers

zbMATH Open document ID

1446.35108

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DOI

10.1137/19M1296094

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5116572