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Regularity and Expansion for Steady Prandtl Equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Blowup of solutions of the unsteady Prandtl's equation
inferredcites →https://doi.org/10.1002/cpa.21516openalex-snapshot
On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
inferredcites →https://doi.org/10.1002/cpa.21595openalex-snapshot
Local‐in‐Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
inferredcites →https://doi.org/10.1002/cpa.22109openalex-snapshot
Validity of steady Prandtl layer expansions
inferredcites →https://doi.org/10.1002/mma.1670020416openalex-snapshot
On the boundary value problem of the biharmonic operator on domains with angular corners
inferredcites →https://doi.org/10.1006/jdeq.2001.4038openalex-snapshot
Boundary Layers Associated with Incompressible Navier–Stokes Equations: The Noncharacteristic Boundary Case
inferredcites →https://doi.org/10.1007/978-0-387-09620-9openalex-snapshot
An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems
inferredcites →https://doi.org/10.1007/978-3-319-10151-4_15-1openalex-snapshot
The Inviscid Limit and Boundary Layers for Navier-Stokes Flows
inferredcites →https://doi.org/10.1007/978-3-319-13344-7_15openalex-snapshot
The Inviscid Limit and Boundary Layers for Navier-Stokes Flows
inferredcites →https://doi.org/10.1007/978-3-642-10926-3_1openalex-snapshot
On Elliptic Partial Differential Equations
inferredcites →https://doi.org/10.1007/s00205-015-0942-2openalex-snapshot
Almost Global Existence for the Prandtl Boundary Layer Equations
inferredcites →https://doi.org/10.1007/s00205-017-1080-9openalex-snapshot
Steady Prandtl Boundary Layer Expansions Over a Rotating Disk
inferredcites →https://doi.org/10.1007/s00205-018-1235-3openalex-snapshot
Sublayer of Prandtl Boundary Layers
inferredcites →https://doi.org/10.1007/s00205-019-01380-xopenalex-snapshot
Sobolev Stability of Prandtl Expansions for the Steady Navier–Stokes Equations
inferredcites →https://doi.org/10.1007/s00205-020-01523-5openalex-snapshot
On Global-in-x Stability of Blasius Profiles
inferredcites →https://doi.org/10.1007/s00208-008-0287-3openalex-snapshot
On the vanishing viscosity limit in a disk
inferredcites →https://doi.org/10.1007/s002200050304openalex-snapshot
Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.¶I. Existence for Euler and Prandtl Equations
inferredcites →https://doi.org/10.1007/s002200050305openalex-snapshot
Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space.¶ II. Construction of the Navier-Stokes Solution
inferredcites →https://doi.org/10.1007/s101140000034openalex-snapshot
Boundary Layer Theory and the Zero-Viscosity Limit of the Navier-Stokes Equation
inferredcites →https://doi.org/10.1007/s40818-016-0020-6openalex-snapshot
Prandtl Boundary Layer Expansions of Steady Navier–Stokes Flows Over a Moving Plate
inferredcites →https://doi.org/10.1007/s40818-019-0074-3openalex-snapshot
$$L^\infty $$ Instability of Prandtl Layers
inferredcites →https://doi.org/10.1016/0021-8928(66)90001-3openalex-snapshot
On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid
inferredcites →https://doi.org/10.1016/j.aim.2016.01.007openalex-snapshot
Spectral instability of general symmetric shear flows in a two-dimensional channel
inferredcites →https://doi.org/10.1016/j.aim.2016.11.013openalex-snapshot
The van Dommelen and Shen singularity in the Prandtl equations
inferredcites →https://doi.org/10.1016/j.bulsci.2011.12.004openalex-snapshot
Hitchhikerʼs guide to the fractional Sobolev spaces
inferredcites →https://doi.org/10.1016/j.matpur.2024.02.001openalex-snapshot
On nonlinear instability of Prandtl's boundary layers: The case of Rayleigh's stable shear flows
inferredcites →https://doi.org/10.1016/j.physd.2008.03.009openalex-snapshot
Vanishing viscosity limit for incompressible flow inside a rotating circle
inferredcites →https://doi.org/10.1016/s0001-8708(03)00046-xopenalex-snapshot
On the global existence of solutions to the Prandtl's system
inferredcites →https://doi.org/10.1080/14685248.2013.771838openalex-snapshot
Mathematics and turbulence: where do we stand?
inferredcites →https://doi.org/10.1090/s0894-0347-09-00652-3openalex-snapshot
On the ill-posedness of the Prandtl equation
inferredcites →https://doi.org/10.1090/s0894-0347-2014-00813-4openalex-snapshot
Well-posedness of the Prandtl equation in Sobolev spaces
inferredcites →https://doi.org/10.1098/rspa.1967.0151openalex-snapshot
Asymptotic behaviour of velocity profiles in the Prandtl boundary layer theory
inferredcites →https://doi.org/10.1137/140956440openalex-snapshot
On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions
inferredcites →https://doi.org/10.1137/18m1207351openalex-snapshot
Steady Prandtl Layers Over a Moving Boundary: Nonshear Euler Flows
inferredcites →https://doi.org/10.1137/18m1219618openalex-snapshot
Justification of Prandtl Ansatz for MHD Boundary Layer
inferredcites →https://doi.org/10.1137/s0036141002412057openalex-snapshot
Well-Posedness of the Boundary Layer Equations
inferredcites →https://doi.org/10.1201/9780203749364openalex-snapshot
Mathematical Models in Boundary Layer Theory
inferredcites →https://doi.org/10.1215/00127094-3645437openalex-snapshot
Spectral instability of characteristic boundary layer flows
inferredcites →https://doi.org/10.1515/anly-2015-0001openalex-snapshot
Spectral stability of Prandtl boundary layers: An overview
inferredcites →https://doi.org/10.2140/apde.2008.1.35openalex-snapshot
Vanishing viscosity plane parallel channel flow and related singular perturbation problems
inferredcites →https://doi.org/10.24033/asens.2270openalex-snapshot
Well-posedness for the Prandtl system without analyticity or monotonicity
inferredcites →https://doi.org/10.3233/asy-2011-1075openalex-snapshot
Remarks on the ill-posedness of the Prandtl equation
inferredcites →https://doi.org/10.3934/dcds.2016.36.2521openalex-snapshot
Recent progresses in boundary layer theory
inferredcites →https://doi.org/10.4310/cms.2003.v1.n2.a5openalex-snapshot
Singularity Formation and Instability in the Unsteady Inviscid and Viscous Prandtl Equations
inferredcites →https://doi.org/10.4310/cms.2013.v11.n1.a8openalex-snapshot
On the local existence of analytic solutions to the Prandtl boundary layer equations
inferredcites →https://doi.org/10.48550/arxiv.1011.0130openalex-snapshot
A note on the Prandtl boundary layers
inferredcites →https://doi.org/10.48550/arxiv.1402.1395openalex-snapshot
Spectral instability of symmetric shear flows in a two-dimensional channel
inferredcites →https://doi.org/10.48550/arxiv.1508.06956openalex-snapshot
Steady Prandtl Boundary Layer Expansion of Navier-Stokes Flows over a Rotating Disk
inferredcites →https://doi.org/10.48550/arxiv.1609.05397openalex-snapshot
Global Steady Prandtl Expansion Over a Moving Boundary
inferredcites →https://doi.org/10.48550/arxiv.2008.12347openalex-snapshot
Global-in-$x$ Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows
inferredcites →https://doi.org/10.5802/slsedp.59openalex-snapshot
Well-posedness issues for the Prandtl boundary layer equations
inferredcites →https://doi.org/10.5802/slsedp.80openalex-snapshot
Phénomène de séparation pour l’équation de Prandtl stationnaire
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4794882openalex-extracted
Stability and Related Zero Viscosity Limitof Steady Plane Poiseuille-Couette Flows with No-Slip Boundary Condition
inferred← citeshttps://doi.org/10.1002/cpa.22109openalex-snapshot
Validity of steady Prandtl layer expansions
inferred← citeshttps://doi.org/10.1002/mma.11133openalex-snapshot
The Boundary Layer Expansions of the Steady 2D Boussinesq Equations With a Moving Boundary
inferred← citeshttps://doi.org/10.1007/s00208-022-02486-6openalex-snapshot
Asymptotic behavior of the steady Prandtl equation
inferred← citeshttps://doi.org/10.1007/s00220-022-04520-9openalex-snapshot
Prandtl–Batchelor Flows on a Disk
inferred← citeshttps://doi.org/10.1007/s11425-022-2008-8openalex-snapshot
Singular limits for the Navier-Stokes-Poisson equations of the viscous plasma with the strong density boundary layer
inferred← citeshttps://doi.org/10.1007/s11425-022-2025-5openalex-snapshot
On the steady Prandtl boundary layer expansions
inferred← citeshttps://doi.org/10.1007/s40818-023-00160-xopenalex-snapshot
Dynamic Stability for Steady Prandtl Solutions
inferred← citeshttps://doi.org/10.1016/j.aim.2021.107896openalex-snapshot
Boundary layer separation and local behavior for the Steady Prandtl equation
inferred← citeshttps://doi.org/10.1016/j.aim.2024.109994openalex-snapshot
Prandtl-Batchelor flows on an annulus
inferred← citeshttps://doi.org/10.1016/j.aim.2025.110533openalex-snapshot
Sharp asymptotic stability of Blasius profile in the steady Prandtl equation
inferred← citeshttps://doi.org/10.1016/j.aim.2025.110749openalex-snapshot
Stability of the favorable Falkner-Skan profiles for the stationary Prandtl equations
inferred← citeshttps://doi.org/10.1016/j.anihpc.2021.02.007openalex-snapshot
Global $C^∞$ regularity of the steady Prandtl equation with favorable pressure gradient
inferred← citeshttps://doi.org/10.1016/j.jde.2023.12.030openalex-snapshot
Higher regularity and asymptotic behavior of 2D magnetic Prandtl model in the Prandtl-Hartmann regime
inferred← citeshttps://doi.org/10.1016/j.jde.2024.11.047openalex-snapshot
Stability and related zero viscosity limit of steady plane Poiseuille-Couette flows with no-slip boundary condition
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114125openalex-snapshot
Structure stability of steady supersonic shear flow with inflow boundary conditions
inferred← citeshttps://doi.org/10.1016/j.jmaa.2023.127379openalex-snapshot
Boundary layer separation for the steady compressible Prandtl equation
inferred← citeshttps://doi.org/10.1016/j.physd.2023.134049openalex-snapshot
Separation of the two-dimensional steady MHD boundary layer
inferred← citeshttps://doi.org/10.1017/fmp.2026.10027openalex-snapshot
Global inviscid limit of 2D, stationary Navier-Stokes and stability of Prandtl expansions
inferred← citeshttps://doi.org/10.1063/5.0192671openalex-snapshot
The steady Prandtl boundary layer expansions for non-shear Euler flow
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Prandtl-type boundary layer expansions of the steady Boussinesq-MHD equations
inferred← citeshttps://doi.org/10.1080/00036811.2026.2643640openalex-snapshot
Global regularity of the steady magnetic damping boundary layer equation
inferred← citeshttps://doi.org/10.1090/qam/1655openalex-snapshot
Steady Prandtl layer expansions with external forcing
inferred← citeshttps://doi.org/10.1112/plms.12588openalex-snapshot
Tollmien–Schlichting waves in the subsonic regime
inferred← citeshttps://doi.org/10.1137/24m1693726openalex-snapshot
Small Scales in Inviscid Limits of Steady Fluids
inferred← citeshttps://doi.org/10.1142/s0219530524500167openalex-snapshot
Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations
inferred← citeshttps://doi.org/10.2139/ssrn.5823671openalex-snapshot
Structure stability of steady supersonic shear flow with inflow boundary conditions
inferred← citeshttps://doi.org/10.22541/au.167214847.72609500/v1openalex-snapshot
GLOBAL REGULARITY OF THE 2D STEADY COMPRESSIBLE PRANDTL EQUATIONS
inferred← citeshttps://doi.org/10.37394/23201.2022.21.27openalex-snapshot
Reducing Environmental Hazards of Prismatic Storage Tanks under Vibrations
inferred← citeshttps://doi.org/10.3934/cam.2023034openalex-snapshot
Global regularity of solutions to the 2D steady compressible Prandtl equations
inferred← citeshttps://doi.org/10.3934/cpaa.2025076openalex-snapshot
Prandtl boundary layer expansions over a moving periodic plate
inferred← citeshttps://doi.org/10.3934/cpaa.2026004openalex-snapshot
Tollmien-Schlichting waves near neutral stable curve
inferred← citeshttps://doi.org/10.3934/dcds.2026170openalex-snapshot
Vanishing viscosity limit of the forced steady Navier-Stokes equations with slip boundary condition in a finite channel
inferred← citeshttps://doi.org/10.48550/arxiv.1912.08402openalex-snapshot
Global $C^\infty$ Regularity of the Steady Prandtl Equation
inferred← citeshttps://doi.org/10.48550/arxiv.2008.12347openalex-snapshot
Global-in-$x$ Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows
inferred← citeshttps://doi.org/10.48550/arxiv.2107.08372openalex-snapshot
Remarks on the Steady Prandtl Boundary Layer Expansions
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