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A Liouville-type theorem for the 3D primitive equations - MaRDI portal

A Liouville-type theorem for the 3D primitive equations (Q6111917)

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scientific article; zbMATH DE number 7722808

Language	Label	Description	Also known as
English	A Liouville-type theorem for the 3D primitive equations	scientific article; zbMATH DE number 7722808

Statements

scholarly article

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A Liouville-type theorem for the 3D primitive equations (English)

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Daniel Peralta-Salas

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Radu Slobodeanu

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publication date

4 August 2023

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full work available at URL

https://arxiv.org/abs/2211.09573

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zbMATH Keywords

primitive equations

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stationary solutions

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compact support

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MaRDI profile type

MaRDI publication profile

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Liouville theorems for the Navier-Stokes equations and applications

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On Liouville type theorems for the steady Navier-Stokes equations in \(\mathbb{R}^3\)

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Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations

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On Liouville-type theorems for the stationary MHD and the Hall-MHD systems in \(\mathbb{R}^3\)

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Liouville theorem for Beltrami flow

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Remarks on a Liouville-Type Theorem for Beltrami Flows

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Smooth approximations and exact solutions of the 3D steady axisymmetric Euler equations

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Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications

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A steady Euler flow with compact support

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Piecewise smooth stationary Euler flows with compact support via overdetermined boundary problems

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The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation

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New formulations of the primitive equations of atmosphere and applications

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On the equations of the large-scale ocean

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Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

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

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Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation

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On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations

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On the effect of fast rotation and vertical viscosity on the lifespan of the \(3D\) Primitive equations

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Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu

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Submanifolds that are level sets of solutions to a second-order elliptic PDE

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Functional Dependence

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Identifiers

zbMATH Open document ID

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10.1016/j.physd.2023.133821

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6111917

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