Optimal Gevrey stability of hydrostatic approximation for the Navier-Stokes equations in a thin domain (Q6665323)

scientific article; zbMATH DE number 7969194

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English	Optimal Gevrey stability of hydrostatic approximation for the Navier-Stokes equations in a thin domain	scientific article; zbMATH DE number 7969194

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instance of

scholarly article

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title

Optimal Gevrey stability of hydrostatic approximation for the Navier-Stokes equations in a thin domain (English)

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Journal of the Institute of Mathematics of Jussieu

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publication date

17 January 2025

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zbMATH Keywords

Navier-Stokes equations

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hydrostatic approximation

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thin domain

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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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Fourier Analysis and Nonlinear Partial Differential Equations

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Homogeneous hydrostatic flows with convex velocity profiles

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Remarks on the derivation of the hydrostatic Euler equations.

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Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics

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Well-posedness of the linearized Prandtl equation around a non-monotonic shear flow

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

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Well-posedness of the Prandtl equations without any structural assumption

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On the zero-viscosity limit of the Navier-Stokes equations in \(\mathbb R_+^3\) without analyticity

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On the ill-posedness of the Prandtl equation

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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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Well-posedness of the hydrostatic Navier-Stokes equations

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On the derivation of homogeneous hydrostatic equations

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

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Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain

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The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary

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The RNS/Prandtl equations and their link with other asymptotic descriptions: application to the wall shear stress scaling in a constricted pipe

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

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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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On the \(H ^{s }\) theory of hydrostatic Euler equations

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

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On the hydrostatic approximation of the Navier-Stokes equations in a thin strip

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Ill-posedness of the hydrostatic Euler and Navier-Stokes equations

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

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Gevrey stability of hydrostatic approximate for the Navier–Stokes equations in a thin domain

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Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition

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

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Blowup of solutions of the hydrostatic Euler equations

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

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On the global existence of solutions to the Prandtl's system.

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Identifiers

DOI

10.1017/s1474748023000282

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6665323