The ill-posed Navier-Stokes equation on connected sums of R3

DOI10.1080/17476930600744202zbMath1122.35103OpenAlexW2121318809WikidataQ125891224 ScholiaQ125891224MaRDI QIDQ3423549

Qi S. Zhang

Publication date: 14 February 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930600744202

zbMATH Keywords

Navier-Stokes equationincompressible viscous fluidRiemann manifoldrotationally symmetric metric

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Ill-posed problems for PDEs (35R25) Navier-Stokes equations (35Q30) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (10)

Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space ⋮ 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 ⋮ The formulation of the Navier-Stokes equations on Riemannian manifolds ⋮ On asymptotically almost periodic solutions to the Navier-Stokes equations in hyperbolic manifolds ⋮ Ricci curvature and the size of initial data for the Navier-Stokes equations on Einstein manifolds ⋮ Navier-Stokes equations on non-compact Einstein manifolds: stability implies periodicity ⋮ Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds ⋮ Variational formulation of compressible hydrodynamics in curved spacetime and symmetry of stress tensor

Cites Work

• Unnamed Item
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.

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