Inertial manifolds for the hyperviscous Navier-Stokes equations

DOI10.1016/j.jde.2018.06.011zbMath1397.35041OpenAlexW2809607147MaRDI QIDQ1671228

Ciprian G. Gal, Yanqiu Guo

Publication date: 6 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.06.011

zbMATH Keywords

global attractorhyperviscosityspatial averaging method

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations (35Q30) Inertial manifolds (35B42)

Related Items (20)

Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds ⋮ Unnamed Item ⋮ Regularity of the inertial manifolds for evolution equations in admissible spaces and finite-dimensional feedback controllers ⋮ Well-posedness for the hyperviscous magneto-micropolar equations ⋮ The invariant manifold approach applied to global long-time dynamics of FitzHugh-Nagumo systems ⋮ Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations ⋮ Reduction methods in climate dynamics -- a brief review ⋮ Asymptotic regularity for the generalized MHD‐Boussinesq equations ⋮ Inertial manifolds for 3D complex Ginzburg-Landau equations with periodic boundary conditions ⋮ Regularity and attractors for the three‐dimensional generalized Boussinesq system ⋮ Attractors. Then and now ⋮ Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L² force ⋮ Smooth extensions for inertial manifolds of semilinear parabolic equations ⋮ Global attractors for the three-dimensional tropical climate model with damping terms ⋮ Inertial manifolds for a singularly non-autonomous semi-linear parabolic equations ⋮ Well-posedness for the generalized Navier-Stokes-Landau-Lifshitz equations ⋮ Inertial manifolds for the 3D modified-Leray-\( \alpha\) model ⋮ GLOBAL STABLE AND UNSTABLE MANIFOLDS FOR A CLASS OF SEMILINEAR EQUATIONS WITH SECTORIALLY DICHOTOMOUS OPERATOR ⋮ On the existence and regularity of admissibly inertial manifolds with sectorial operators ⋮ Inertial Manifolds via Spatial Averaging Revisited

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