On the behavior of the solutions of the Navier-Stokes equations lying on invariant manifolds

DOI10.1016/0022-0396(86)90127-0zbMath0597.35095OpenAlexW2029655493MaRDI QIDQ1078764

Colette Guillopé, Ciprian Foias

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90127-0

zbMATH Keywords

Navier-Stokes equationsStokes operatornonlinear semigroupspectral manifoldperiodicity conditionenstrophy decay

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Navier-Stokes equations (35Q30)

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General complex \(L_p\) projection bodies and complex \(L_p\) mixed projection bodies ⋮ Effect of vorticity coherence on energy-enstrophy bounds for the 3D Navier-Stokes equations

Cites Work

• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Comportement à l'infini des solutions des équations de Navier-Stokes et propriété des ensembles fonctionnels invariants (ou attracteurs)
• Sur l'unicité retrograde des équations paraboliques et quelques questions voisines
• Remarques à propos du comportement, lorsque $t\to+\infty$, des solutions des équations de Navier-Stokes associées à une force nulle
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