On the global attractor of 2D incompressible turbulence with random forcing

DOI10.1016/j.jde.2017.12.004zbMath1454.35279OpenAlexW2777616400MaRDI QIDQ1690307

John C. Bowman, Pedram Emami

Publication date: 19 January 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.12.004

zbMATH Keywords

energyglobal attractorrandom forcingincompressible turbulencetwo-dimensional turbulenceenstrophy

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Fundamentals of turbulence (76F02)

Related Items (3)

The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier-Stokes equations ⋮ Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three ⋮ Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm

Cites Work

• Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations
• Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• A dynamical system generated by the Navier-Stokes equations
• Random attractors
• Multithreaded implicitly dealiased convolutions
• Technical improvements for direct numerical simulation of homogeneous three-dimensional turbulence
• Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence
• On single mode forcing of the 2D-NSE
• Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
• Efficient Dealiased Convolutions without Padding
• The structure of isotropic turbulence at very high Reynolds numbers
• Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane
• Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
• Unnamed Item
• Unnamed Item

This page was built for publication: On the global attractor of 2D incompressible turbulence with random forcing