Algebraic bounds on the Rayleigh–Bénard attractor
From MaRDI portal
Publication:5147951
DOI10.1088/1361-6544/abb1c6zbMath1457.35034arXiv1905.01399OpenAlexW3123248287MaRDI QIDQ5147951
Yu Cao, Edriss S. Titi, Jared P. Whitehead, Michael S. Jolly
Publication date: 29 January 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.01399
Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Eigenvalues, singular values, and eigenvectors (15A18) Free convection (76R10) Convection in hydrodynamic stability (76E06) Convective turbulence (76F35) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (7)
Continuous data assimilation for two-phase flow: analysis and simulations ⋮ Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three ⋮ Mathematical study of attractors to a 3D heated fluid ⋮ Global well-posedness for the 2D Euler-Boussinesq-Bénard equations with critical dissipation ⋮ Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements ⋮ The Rayleigh-Bénard problem for compressible fluid flows ⋮ The role of boundary conditions in scaling laws for turbulent heat transport
Uses Software
Cites Work
- Unnamed Item
- Feedback control of nonlinear dissipative systems by finite determining parameters -- a reaction-diffusion paradigm
- Determining finite volume elements for the 2D Navier-Stokes equations
- Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence
- Infinite-dimensional dynamical systems in mechanics and physics.
- Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study
- Downscaling the 2D Bénard convection equations using continuous data assimilation
- Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence
- Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone
- Continuous data assimilation using general interpolant observables
- Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
- Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
- A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations
- Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates
This page was built for publication: Algebraic bounds on the Rayleigh–Bénard attractor