Inertial manifolds for the 3D modified-Leray-\( \alpha\) model

DOI10.1016/j.jde.2019.09.001zbMath1433.35239OpenAlexW2972488268MaRDI QIDQ2279555

Chunyou Sun, Xinhua Li

Publication date: 13 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2019.09.001

zbMATH Keywords

critical exponentinertial manifold3D modified-Leray-\( \alpha\) model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Critical exponents in context of PDEs (35B33) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Dynamical systems approach to turbulence (76F20) Inertial manifolds (35B42)

Related Items (7)

On attractor’s dimensions of the modified Leray-alpha equation ⋮ Reduction methods in climate dynamics -- a brief review ⋮ Inertial manifolds for 3D complex Ginzburg-Landau equations with periodic boundary conditions ⋮ Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L² force ⋮ Smooth extensions for inertial manifolds of semilinear parabolic equations ⋮ Inertial manifolds for a singularly non-autonomous semi-linear parabolic equations ⋮ Inertial Manifolds via Spatial Averaging Revisited

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