Regularity and expansion for steady Prandtl equations (Q2662862)

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English	Regularity and expansion for steady Prandtl equations	scientific article

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scholarly article

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Regularity and expansion for steady Prandtl equations (English)

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Communications in Mathematical Physics

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publication date

15 April 2021

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full work available at URL

https://arxiv.org/abs/1903.08086

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zbMATH Keywords

Prandtl equations

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Prandtl layer expansion

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MaRDI profile type

MaRDI publication profile

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Well-posedness of the Prandtl equation in Sobolev spaces

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On the boundary value problem of the biharmonic operator on domains with angular corners

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Separation phenomenon for Prandtl's stationary equation

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Hitchhiker's guide to the fractional Sobolev spaces

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

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Blowup of solutions of the unsteady Prandtl's equation

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Vanishing viscosity limit for incompressible flow inside a rotating circle

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations

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On the ill-posedness of the Prandtl equation

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Well-posedness for the Prandtl system without analyticity or monotonicity

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

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

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Remarks on the ill-posedness of the Prandtl equation

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Recent progresses in boundary layer theory

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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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Spectral stability of Prandtl boundary layers: an overview

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Sublayer of Prandtl boundary layers

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

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

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A note on Prandtl boundary layers

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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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Steady Prandtl boundary layer expansions over a rotating disk

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Global steady Prandtl expansion over a moving boundary. II

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

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On the vanishing viscosity limit in a disk

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

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

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The van Dommelen and Shen singularity in the Prandtl equations

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Justification of Prandtl Ansatz for MHD Boundary Layer

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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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Vanishing viscosity plane parallel channel flow and related singular perturbation problems

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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 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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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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Asymptotic behaviour of velocity profiles in the Prandtl boundary layer theory

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Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case

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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/s00220-021-03964-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2662862

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