Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence.
From MaRDI portal
Publication:558571
DOI10.1023/A:1023297721804zbMath1090.76017OpenAlexW1557398628MaRDI QIDQ558571
Publication date: 1 July 2005
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/33128
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Isotropic turbulence; homogeneous turbulence (76F05) Statistical solutions of Navier-Stokes and related equations (76D06) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)
Related Items
Enstrophy Cascade in Physical Scales for the Three-Dimensional Navier--Stokes Equations ⋮ On the convergence of statistical solutions of the 3D Navier-Stokes-\(\alpha\) model as \(\alpha\) vanishes ⋮ Statistical estimates for channel flows driven by a pressure gradient ⋮ Some specific mathematical constraints on 2D turbulence ⋮ On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows ⋮ Kolmogorov theory via finite-time averages
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The attractor of a Navier-Stokes system in an unbounded channel-like domain
- Constraints on the spectral distribution of energy and enstrophy dissipation in forced two-dimensional turbulence
- Exponential decay of the power spectrum of turbulence.
- Statistical study of Navier-Stokes equations. II
- Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence
- Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
- Cascade of energy in turbulent flows
- Estimates for the energy cascade in three-dimensional turbulent flows
- Structure and dynamics of homogeneous turbulence: models and simulations
- Attractor for a Navier-Stokes flow in an unbounded domain
- Some specific features of atmospheric tubulence
- A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
- Mathematical Problems of Statistical Hydromechanics
- New Perspectives in Turbulence: Scaling Laws, Asymptotics, and Intermittency
- Attractors for non-compact semigroups via energy equations
- The structure of intense vorticity in isotropic turbulence
- Geometric Statistics in Turbulence
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- The global attractor for the 2D Navier-Stokes flow on some unbounded domains
- Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence
- Attractors for Navier-Stokes equations in domains with finite measure
- Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
- On the Statistical Theory of Isotropic Turbulence
