A modified-Leray-\(\alpha\) subgrid scale model of turbulence. (English) Zbl 1106.35050

Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S.

Nonlinearity 19, No. 4, 879-897 (2006).

MSC:

35Q30	Navier-Stokes equations
76D03	Existence, uniqueness, and regularity theory for incompressible viscous fluids
76F20	Dynamical systems approach to turbulence
76F55	Statistical turbulence modeling
76F65	Direct numerical and large eddy simulation of turbulence
37L30	Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems

Keywords:

Leray-\(\alpha\) model of turbulence; global well-posedness; global attractor; Kolmogorov power law; large eddy simulation model of turbulence