×

Une variété approximante de l’attracteur universel des équations de Navier-Stokes, non linéaire, de dimension finie. (On a nonlinear finite dimensional approximative manifold to the universal attractor of the Navier-Stokes equation). (French) Zbl 0683.35073

Summary: We present an explicit nonlinear approximative manifold to the approximative manifold to the universal (global) attractor of the Navier- Stokes equations, of finite dimension m. In an illustrative example, we show that this manifold yields a smaller error than the flat linear manifold spanned by the first m eigenvectors of the Stokes operator.

MSC:

35Q30 Navier-Stokes equations
35K15 Initial value problems for second-order parabolic equations
35A35 Theoretical approximation in context of PDEs
PDF BibTeX XML Cite