On the public citation graph

On the zero-viscosity limit of the Navier–Stokes equations in R+3 without analyticity

https://doi.org/10.1016/j.matpur.2017.09.007

0 signed · 96 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.

Claim with ORCID

Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.

See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.20187openalex-snapshot

On the vanishing viscosity limit for the 3D Navier‐Stokes equations with a slip boundary condition

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/10.1007/978-3-0348-0939-9_19openalex-snapshot

On Vorticity Formulation for Viscous Incompressible Flows in R3+

inferredcites →https://doi.org/10.1007/978-3-642-16830-7openalex-snapshot

Fourier Analysis and Nonlinear Partial Differential Equations

inferredcites →https://doi.org/10.1007/978-3-662-11836-8_43openalex-snapshot

Über Flüssigkeitsbewegung bei sehr kleiner Reibung

inferredcites →https://doi.org/10.1007/s00021-012-0103-4openalex-snapshot

Vanishing Viscous Limits for 3D Navier–Stokes Equations with a Navier-Slip Boundary Condition

inferredcites →https://doi.org/10.1007/s00205-010-0320-zopenalex-snapshot

Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions

inferredcites →https://doi.org/10.1007/s00205-011-0456-5openalex-snapshot

Uniform Regularity for the Navier–Stokes Equation with Navier Boundary Condition

inferredcites →https://doi.org/10.1007/s00205-017-1083-6openalex-snapshot

Zero-Viscosity Limit of the Navier–Stokes Equations in the Analytic Setting

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/s00220-006-0171-5openalex-snapshot

Remarks about the Inviscid Limit of the Navier–Stokes System

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/s002200050413openalex-snapshot

On the Inviscid Limit for a Fluid with a Concentrated Vorticity

inferredcites →https://doi.org/10.1007/s00574-008-0001-9openalex-snapshot

Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows

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/10.1016/0022-1236(72)90003-1openalex-snapshot

Nonstationary flows of viscous and ideal fluids in R3

inferredcites →https://doi.org/10.1016/j.jfa.2016.01.004openalex-snapshot

Long time well-posedness of Prandtl system with small and analytic initial data

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/10.1080/03605302.2010.505973openalex-snapshot

Vanishing Viscosity Limits for a Class of Circular Pipe Flows

inferredcites →https://doi.org/10.1088/0951-7715/11/6/011openalex-snapshot

On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions

inferredcites →https://doi.org/10.1088/0951-7715/19/4/007openalex-snapshot

Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions

inferredcites →https://doi.org/10.1088/0951-7715/8/5/005openalex-snapshot

Inviscid limit for vortex patches

inferredcites →https://doi.org/10.1090/s0002-9939-2015-12638-xopenalex-snapshot

On the inviscid limit of the Navier-Stokes equations

inferredcites →https://doi.org/10.1090/s0002-9947-1971-0277929-7openalex-snapshot

The convergence with vanishing viscosity of nonstationary Navier-Stokes flow to ideal flow in $R\sb{3}$

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/10.1137/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/10.1512/iumj.2001.50.2098openalex-snapshot

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

inferredcites →https://doi.org/10.1512/iumj.2007.56.3080openalex-snapshot

On Kato's conditions for vanishing viscosity

inferredcites →https://doi.org/10.2140/apde.2011.4.95openalex-snapshot

Global regularity for the Navier–Stokes equations with some classes of large initial data

inferredcites →https://doi.org/10.2307/1995853openalex-snapshot

The Convergence with Vanishing Viscosity of Nonstationary Navier-Stokes Flow to Ideal Flow in R 3

inferredcites →https://doi.org/10.24033/asens.2270openalex-snapshot

Well-posedness for the Prandtl system without analyticity or monotonicity

inferredcites →https://doi.org/10.4007/annals.2011.173.2.9openalex-snapshot

Global regularity for some classes of large solutions to the Navier-Stokes equations

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.4775005openalex-extracted

The Growth Mechanism of Boundary Layers for the 2d Navier-Stokes Equations

inferred← citeshttps://doi.org/10.2139/ssrn.4775696openalex-extracted

The Growth Mechanism of Boundary Layers for the 2d Navier-Stokes Equations

inferred← citeshttps://doi.org/10.1002/cpa.21894openalex-snapshot

Real Analytic Local Well‐Posedness for the Triple Deck

inferred← citeshttps://doi.org/10.1002/mma.10171openalex-snapshot

Asymptotic analysis for the homogeneous model of wind‐driven oceanic circulation in the small viscosity limit

inferred← citeshttps://doi.org/10.1007/978-981-97-4565-4_1openalex-snapshot

Survey on the Prandtl Equations and Related Boundary Layer Equations

inferred← citeshttps://doi.org/10.1007/978-981-97-4565-4_2openalex-snapshot

Global Well-Posedness of Solutions to the 2D Prandtl-Hartmann Equations in an Analytic Framework

inferred← citeshttps://doi.org/10.1007/s00021-019-0471-0openalex-snapshot

Zero-Viscosity Limit of the Navier–Stokes Equations in a Simply-Connected Bounded Domain Under the Analytic Setting

inferred← citeshttps://doi.org/10.1007/s00021-021-00645-4openalex-snapshot

On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations

inferred← citeshttps://doi.org/10.1007/s00021-024-00863-6openalex-snapshot

Navier–Stokes Equations in the Half Space with Non Compatible Data

inferred← citeshttps://doi.org/10.1007/s00205-019-01380-xopenalex-snapshot

Sobolev Stability of Prandtl Expansions for the Steady Navier–Stokes Equations

inferred← citeshttps://doi.org/10.1007/s00205-020-01517-3openalex-snapshot

The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

inferred← citeshttps://doi.org/10.1007/s10114-019-8067-4openalex-snapshot

Local Well-posedness for Linearized Degenerate MHD Boundary Layer Equations in Analytic Setting

inferred← citeshttps://doi.org/10.1007/s10114-026-4659-yopenalex-snapshot

Local Well-posedness of 2D Two-Phase Compressible MHD Boundary Layer Equations Without Resistivity

inferred← citeshttps://doi.org/10.1007/s11425-021-1896-5openalex-snapshot

On the L∞ stability of Prandtl expansions in the Gevrey class

inferred← citeshttps://doi.org/10.1007/s11425-021-1953-2openalex-snapshot

On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations

inferred← citeshttps://doi.org/10.1007/s11425-022-1998-9openalex-snapshot

Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension

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/s11425-023-2412-4openalex-snapshot

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

inferred← citeshttps://doi.org/10.1007/s11425-024-2445-3openalex-snapshot

Inviscid limit of the Navier-Stokes equations with vortex patch data in the half-space

inferred← citeshttps://doi.org/10.1007/s11425-025-2467-6openalex-snapshot

Vanishing viscosity limits of the Navier-Stokes equations in a horizontally periodic strip

inferred← citeshttps://doi.org/10.1007/s41808-021-00128-7openalex-snapshot

Gevrey stability of Rayleigh boundary layer in the inviscid limit

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.jde.2018.06.001openalex-snapshot

Vanishing vertical viscosity limit of anisotropic Navier–Stokes equation with no-slip boundary condition

inferred← citeshttps://doi.org/10.1016/j.jde.2019.09.031openalex-snapshot

Uniform regularity and relaxation limit for the outer pressure problem of gas dynamics with several thermal nonequilibrium modes

inferred← citeshttps://doi.org/10.1016/j.jde.2023.12.020openalex-snapshot

Characteristic boundary layers in the vanishing viscosity limit for the Hunter-Saxton equation

inferred← citeshttps://doi.org/10.1016/j.jde.2024.10.012openalex-snapshot

The growth mechanism of boundary layers for the 2D Navier-Stokes equations

inferred← citeshttps://doi.org/10.1016/j.jde.2025.01.002openalex-snapshot

Hydrostatic approximation around a convex layer in a thin domain

inferred← citeshttps://doi.org/10.1016/j.jde.2025.113548openalex-snapshot

Vanishing viscosity limit of the stationary Navier-Stokes equations with the Navier-slip boundary and its application

inferred← citeshttps://doi.org/10.1016/j.jde.2025.113690openalex-snapshot

Vanishing diffusivity limit for the Boussinesq equations with Dirichlet boundary conditions

inferred← citeshttps://doi.org/10.1016/j.jde.2026.114338openalex-snapshot

On the vanishing viscosity limit for incompressible flows with inflow/outflow boundary conditions

inferred← citeshttps://doi.org/10.1016/j.jde.2026.114758openalex-snapshot

Zero-viscosity limit of the chemotaxis-Navier-Stokes equations with the Navier-slip boundary condition

inferred← citeshttps://doi.org/10.1016/j.jfa.2020.108637openalex-snapshot

Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces

inferred← citeshttps://doi.org/10.1016/j.matpur.2022.07.004openalex-snapshot

Analysis of the Tollmien-Schlichting wave in the Prandtl-Hartmann regime

inferred← citeshttps://doi.org/10.1016/j.na.2024.113526openalex-snapshot

Vanishing capillarity–viscosity limit of the incompressible Navier–Stokes–Korteweg equations with slip boundary condition

inferred← citeshttps://doi.org/10.1016/j.nonrwa.2024.104140openalex-snapshot

Local well-posedness of solutions to 2D mixed Prandtl equations in Sobolev space without monotonicity and lower bound

inferred← citeshttps://doi.org/10.1017/s1474748023000282openalex-snapshot

OPTIMAL GEVREY STABILITY OF HYDROSTATIC APPROXIMATION FOR THE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN

inferred← citeshttps://doi.org/10.1063/5.0031449openalex-snapshot

Stability of the boundary layer expansion for the 3D plane parallel MHD flow

inferred← citeshttps://doi.org/10.1063/5.0175063openalex-snapshot

On Kato’s conditions for the inviscid limit of the two-dimensional stochastic Navier-Stokes equation

inferred← citeshttps://doi.org/10.1063/5.0192671openalex-snapshot

The steady Prandtl boundary layer expansions for non-shear Euler flow

inferred← citeshttps://doi.org/10.1080/03605302.2024.2346146openalex-snapshot

Layer separation of the 3D incompressible Navier–Stokes equation in a bounded domain

inferred← citeshttps://doi.org/10.1088/1361-6544/ad1b8copenalex-snapshot

Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space

inferred← citeshttps://doi.org/10.1090/tran/7990openalex-snapshot

Analyticity up to the boundary for the Stokes and the Navier-Stokes systems

inferred← citeshttps://doi.org/10.1137/19m1255331openalex-snapshot

Zero-Viscosity Limit of the Navier--Stokes Equations with the Navier Friction Boundary Condition

inferred← citeshttps://doi.org/10.1137/19m1296094openalex-snapshot

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

inferred← citeshttps://doi.org/10.1137/20m1367027openalex-snapshot

Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption

inferred← citeshttps://doi.org/10.1137/22m1503567openalex-snapshot

Boundary Vorticity Estimates for Navier–Stokes and Application to the Inviscid Limit

inferred← citeshttps://doi.org/10.1137/22m1507139openalex-snapshot

Validity of Prandtl Expansions for Steady MHD in the Sobolev Framework

inferred← citeshttps://doi.org/10.1137/24m1657626openalex-snapshot

Uniform Bounds and the Inviscid Limit for the Navier–Stokes Equations with Navier Boundary Conditions

inferred← citeshttps://doi.org/10.1142/s0219530524500167openalex-snapshot

Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations

inferred← citeshttps://doi.org/10.2140/apde.2024.17.3125openalex-snapshot

Optimal Prandtl expansion around a concave boundary layer

inferred← citeshttps://doi.org/10.3934/cpaa.2025076openalex-snapshot

Prandtl boundary layer expansions over a moving periodic plate

inferred← citeshttps://doi.org/10.3934/dcds.2025090openalex-snapshot

Vanshing vertical viscosity limit of anisotropic magnetohydrodynamics equation with non-slip boundary condition

inferred← citeshttps://doi.org/10.3934/dcdss.2024189openalex-snapshot

Global existence and uniqueness of solutions to the Prandtl-Hartmann boundary layer equations

inferred← citeshttps://doi.org/10.4208/jpde.v35.n3.7openalex-snapshot

Global Well-Posedness of Solutions to 2D Prandtl-Hartmann Equations in Analytic Framework

inferred← citeshttps://doi.org/10.48550/arxiv.1905.07640openalex-snapshot

Real analytic local well-posedness for the Triple Deck

inferred← citeshttps://doi.org/10.48550/arxiv.1910.14449openalex-snapshot

The 3D inviscid limit problem with data analytic near the boundary

inferred← citeshttps://doi.org/10.48550/arxiv.2004.09755openalex-snapshot

On the $L^\infty$ stability of Prandtl expansions in Gevrey class

inferred← citeshttps://doi.org/10.48550/arxiv.2005.05022openalex-snapshot

Optimal Prandtl expansion around concave boundary layer

inferred← citeshttps://doi.org/10.48550/arxiv.2107.08372openalex-snapshot

Remarks on the Steady Prandtl Boundary Layer Expansions

Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.