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

DOI10.1007/s10455-016-9509-1zbMath1358.35095OpenAlexW2336753394WikidataQ115384572 ScholiaQ115384572MaRDI QIDQ728426

Leandro A. Lichtenfelz

Publication date: 20 December 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-016-9509-1

zbMATH Keywords

Navier-Stokes equationsRiemannian manifoldsnon-uniquenessharmonic vector fields

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Negative curvature complex manifolds (32Q05)

Related Items (13)

Periodic and almost periodic evolution flows and their stability on non-compact Einstein manifolds and applications ⋮ Stability and periodicity of solutions to Navier-Stokes equations on non-compact Riemannian manifolds with negative curvature ⋮ On periodic solutions of the incompressible Navier-Stokes equations on non-compact Riemannian manifolds ⋮ Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ The formulation of the Navier-Stokes equations on Riemannian manifolds ⋮ Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold ⋮ On asymptotically almost periodic solutions to the Navier-Stokes equations in hyperbolic manifolds ⋮ Navier-Stokes equations on non-compact Einstein manifolds: stability implies periodicity ⋮ Navier-Stokes equations in a curved thin domain. III: Thin-film limit ⋮ On the stability phenomenon of the Navier-Stokes type equations for elliptic complexes ⋮ Variational formulation of compressible hydrodynamics in curved spacetime and symmetry of stress tensor ⋮ Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part

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