Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations (Q6587600)

scientific article; zbMATH DE number 7896942

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English	Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations	scientific article; zbMATH DE number 7896942

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instance of

scholarly article

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title

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

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Analysis and Applications (Singapore)

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publication date

14 August 2024

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zbMATH Keywords

global existence

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Gevrey-2 solutions

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axially symmetric

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Prandtl equations

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MaRDI profile type

Publication

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cites work

Well-posedness of the Prandtl equation in Sobolev spaces

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Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations

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Separation for the stationary Prandtl equation

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Well-posedness of the Prandtl equations without any structural assumption

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Blowup of solutions of the unsteady Prandtl's equation

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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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On the nonlinear instability of Euler and Prandtl equations.

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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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Regularity and expansion for steady Prandtl equations

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A note on Prandtl boundary layers

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Almost global existence for the Prandtl boundary layer equations

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

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Nonstationary flows of viscous and ideal fluids in \(R^3\)

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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 Space for 3D Prandtl Equations without Structural Assumption

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

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A well-posedness theory for the Prandtl equations in three space variables

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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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On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane

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Remarks about the inviscid limit of the Navier-Stokes system

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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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Q4256682

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Global existence and the decay of solutions to the Prandtl system with small analytic data

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Über Flüssigkeitsbewegung bei sehr kleiner Reibung.

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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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Boundary layer separation and local behavior for the steady Prandtl equation

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

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

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Identifiers

zbMATH Open document ID

1545.35121

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Mathematics Subject Classification ID

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10.1142/S0219530524500167

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Sitelinks

Mathematics(1 entry)

mardi Publication:6587600