Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part (Q5874032)

scientific article; zbMATH DE number 7652711

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English	Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	scientific article; zbMATH DE number 7652711

Statements

instance of

scholarly article

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title

Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part (English)

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10 February 2023

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full work available at URL

https://arxiv.org/abs/2205.14869

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zbMATH Keywords

vorticity equation

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Kolmogorov-type flow

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nonlinear stability

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Killing vector field

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The stability of planetary waves on a sphere

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Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations

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Mathematical tools for the study of the incompressible Navier-Stokes equations and related models

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The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom

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Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting

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The formulation of the Navier-Stokes equations on Riemannian manifolds

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On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space

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Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere

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Diffusion and mixing in fluid flow

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The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains

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Differential operators and boundary value problems on hypersurfaces

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Groups of diffeomorphisms and the motion of an incompressible fluid

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On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows

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Q3198246

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Stability and instability of generalized Kolmogorov flows on the two-dimensional sphere

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Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid

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Variational approach for the Stokes and Navier-Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds

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Q5576913

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Q3215519

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Introduction to Riemannian Manifolds

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Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds

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Metastability of Kolmogorov flows and inviscid damping of shear flows

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Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere

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An example of absence of turbulence for any Reynolds number

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Bifurcation analysis of Kolmogorov flows

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Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid

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Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.

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Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere

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Q4254441

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Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori

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The incompressible Navier-Stokes equations on non-compact manifolds

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Solvability of the Navier-Stokes equations on manifolds with boundary

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On the Navier-Stokes equations on surfaces

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Navier-Stokes equations on Riemannian manifolds

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Bifurcation structure of two-dimensional viscous zonal flows on a rotating sphere

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On the spectral problem in the linear stability study of flows on a sphere

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Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere

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On the linear stability study of zonal incompressible flows on a sphere

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Euler equation on a rotating surface

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Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations

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Partial differential equations. III: Nonlinear equations.

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Navier-Stokes equations. Theory and numerical analysis. Repr. with corr

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Inertial forms of Navier-Stokes equations on the sphere

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Q2933702

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Diffusion and mixing in fluid flow via the resolvent estimate

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Enhanced dissipation for the Kolmogorov flow via the hypocoercivity method

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Linear inviscid damping and enhanced dissipation for the Kolmogorov flow

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Navier-Stokes equations on a rapidly rotating sphere

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Diffusion in Fluid Flow: Dissipation Enhancement by Flows in 2D

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describes a project that uses

Digital Library of Mathematical Functions

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Identifiers

Mathematics Subject Classification ID

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10.1088/1361-6544/ACB62E

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Sitelinks

Mathematics(1 entry)

mardi Publication:5874032