Almost global existence for the 3D Prandtl boundary layer equations (Q2023052)

scientific article; zbMATH DE number 7341776

Language	Label	Description	Also known as
English	Almost global existence for the 3D Prandtl boundary layer equations	scientific article; zbMATH DE number 7341776

Statements

instance of

scholarly article

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title

Almost global existence for the 3D Prandtl boundary layer equations (English)

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Acta Applicandae Mathematicae

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publication date

3 May 2021

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zbMATH Keywords

Prandtl equations

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almost global existence

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Littlewood-Paley theory

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10440-019-00303-y

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cites work

Well-posedness of the Prandtl equation in Sobolev spaces

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

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Well-posedness of the Prandtl equation with monotonicity in Sobolev spaces

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

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Separation for the stationary Prandtl equation

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On analytic solutions of the Prandtl equations with Robin boundary condition in half space

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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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Well-posedness for the Prandtl system without analyticity or monotonicity

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Formal derivation and stability analysis of boundary layer models in MHD

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A note on Prandtl boundary layers

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Local-in-time well-posedness for compressible MHD boundary layer

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Almost global existence for the Prandtl boundary layer equations

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

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

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The van Dommelen and Shen singularity in the Prandtl equations

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Gevrey class smoothing effect for the Prandtl equation

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Almost global existence for 2D magnetohydrodynamics boundary layer system

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On the ill-posedness of the Prandtl equations in three-dimensional space

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

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MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory

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Justification of Prandtl Ansatz for MHD Boundary Layer

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A note on the ill-posedness of shear flow for the MHD boundary layer equations

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Well-Posedness of the Boundary Layer Equations

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Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces

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Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods

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Q4256682

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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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Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit

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Boundary layer problem and zero viscosity-diffusion limit of the incompressible magnetohydrodynamic system with no-slip boundary conditions

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Global-in-Time Stability of 2D MHD Boundary Layer in the Prandtl--Hartmann Regime

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Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow

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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

1461.76121

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Mathematics Subject Classification ID

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10.1007/S10440-019-00303-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2023052