Bounds on Kolmogorov spectra for the Navier-Stokes equations

DOI10.1016/j.physd.2011.10.013zbMath1236.35101arXiv0807.4505OpenAlexW2013540807MaRDI QIDQ2427994

Andrei Biryuk, Walter Craig

Publication date: 19 April 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4505

zbMATH Keywords

Navier-Stokes equationsenergy spectruminertial range

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (2)

Numerical study on comparison of Navier-Stokes and Burgers equations ⋮ Intermittency and local Reynolds number in Navier-Stokes turbulence: A cross-over scale in the Caffarelli-Kohn-Nirenberg integral

Cites Work

• Analysis of equilibrium states of Markov solutions to the 3D Navier-Stokes equations driven by additive noise
• On the regularity of the pressure of weak solutions of Navier-Stokes equations
• Spectral properties of solutions for nonlinear PDEs in the turbulent regime
• Stochastic dissipative PDE's and Gibbs measures
• Navier-Stokes equations and area of interfaces
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• Energy dissipation in body-forced turbulence
• Applied Analysis of the Navier-Stokes Equations
• Ergodicity for the randomly forced 2D Navier-Stokes equations
• Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation
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