On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations (Q2070911)

scientific article; zbMATH DE number 7463772

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English	On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations	scientific article; zbMATH DE number 7463772

Statements

instance of

scholarly article

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title

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

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Archive for Rational Mechanics and Analysis

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publication date

25 January 2022

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full work available at URL

https://arxiv.org/abs/2010.01740

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zbMATH Keywords

inviscid primitive equations

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hydrostatic Euler equations

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analytic solutions

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rotation

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Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics

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On the regularization mechanism for the periodic Korteweg-de Vries equation

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Q4372791

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Q4705091

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ON THE REGULARITY OF THREE-DIMENSIONAL ROTATING EULER–BOUSSINESQ EQUATIONS

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Fast Singular Oscillating Limits and Global Regularity for the 3D Primitive Equations of Geophysics

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Euler equations for incompressible ideal fluids

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Vorticity and incompressible flow

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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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Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets

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

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Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

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Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data

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Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity

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On the well-posedness of reduced \(3D\) primitive geostrophic adjustment model with weak dissipation

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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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Regularity ``in large'' for the \(3D\) Salmon's planetary geostrophic model of ocean dynamics

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Q5470458

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Q4040820

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Well-posedness of the Prandtl equations without any structural assumption

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Examples of dispersive effects in non-viscous rotating fluids

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Averaging over fast gravity waves for geophysical flows with arbitary

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Editorial board

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Gevrey class regularity for the solutions of the Navier-Stokes equations

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On the ill-posedness of the Prandtl equation

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Homogeneous intrusions in a rotating stratified fluid

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On the derivation of homogeneous hydrostatic equations

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Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello

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Ill-posedness of the hydrostatic Euler and singular Vlasov equations

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Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces

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

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Long-time solvability of the Navier-Stokes-Boussinesq equations with almost periodic initial large data

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Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations

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Strichartz estimates for the Euler equations in the rotational framework

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Large dispersion, averaging and attractors: three 1D paradigms

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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 regularity of solutions of the primitive equations of the ocean in space dimension three

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On the regularity of the primitive equations of the ocean

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On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models

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Analyticity of solutions for a generalized Euler equation

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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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Rotation prevents finite-time breakdown

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

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Lagrangian approach to geostrophic adjustment of frontal anomalies in a stratified fluid

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

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Blowup of solutions of the hydrostatic Euler equations

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00205-021-01748-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2070911