Finite-dimensionality of 2-D micropolar fluid flow with periodic boundary conditions

• Autorzy: Piotr Szopa
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to proving the finite-dimensionality of a two-dimensional micropolar fluid flow with periodic boundary conditions. We define the notions of determining modes and nodes and estimate their number. We check how the distribution of the forces and moments through modes influences the estimate of the number of determining modes. We also estimate the dimension of the global attractor. Finally, we compare our results with analogous results for the Navier-Stokes equation.

Kategorie tematyczne

• 37L30: Attractors and their dimensions, Lyapunov exponents
• 35B45: A priori estimates
• 76F20: Dynamical systems approach to turbulence
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2007
• Tom: 34
• Numer: 3
• Strony: 309-339

Daty

wydano

2007

Twórcy

autor

Piotr Szopa

• Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/am34-3-4