Approximation of Attractors by Algebraic or Analytic Sets

DOI10.1137/S0036141091224552zbMath0836.35118MaRDI QIDQ4310918

Ciprian Foias, Roger M. Temam

Publication date: 3 November 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

hypergeometric functionspolynomial mapsfractal attractorstwo- dimensional Navier-Stokes equations

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Navier-Stokes equations (35Q30) Interpolation in approximation theory (41A05) Attractors of solutions to ordinary differential equations (34D45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

A convergent family of approximate inertial manifolds, On computing the long-time solution of the two-dimensional Navier-Stokes equations, A continuity property for the inverse of Mañé's projection, Algebraic approximation of attractors of dynamical systems on manifolds, Construction of non-analytic solutions for the generalized KdV equation, A balanced atmospheric model of Lorenz, Approximate inertial manifolds for the 2d model of atmosphere, Approximation of attractors using Chebyshev polynomials, A remark on time-analyticity for the Kuramoto--Sivashinsky equation