Upper bounds on the number of determining nodes for 3D Navier–Stokes–Voigt equations

DOI10.4064/AP190805-19-3zbMath1446.35142OpenAlexW3036038068MaRDI QIDQ3306095

Nguyen Thi Kim Ngan, Vu Manh Toi

Publication date: 12 August 2020

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap190805-19-3

zbMATH Keywords

periodic solutiondetermining nodesstationary solutionNavier-Stokes-Voigt equationsinstationary solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\)
• Decay rate of solutions to 3D Navier-Stokes-Voigt equations in \(H^m\) spaces
• Averaging of a 3D Navier-Stokes-Voight equation with singularly oscillating forces
• Analysis of a general family of regularized Navier-Stokes and MHD models
• On degrees of freedom of certain conservative turbulence models for the Navier-Stokes equations
• On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models
• Attractors for autonomous and nonautonomous 3D Navier-Stokes-Voight equations
• Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations
• Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
• Singular limits of Voigt models in fluid dynamics
• Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
• Asymptotic analysis of the Navier-Stokes equations
• On the number of determining nodes for the 2D Navier-Stokes equations
• Nonlocal problems for the equations of motion of Kelvin-Voigt fluids
• On the regularity and convergence of solutions to the 3D Navier-Stokes-Voigt equations
• Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
• Decay characterization of solutions to Navier-Stokes-Voigt equations in terms of the initial datum
• Pull-back attractors for three-dimensional Navier—Stokes—Voigt equations in some unbounded domains
• Global attractor and determining modes for a hyperbolic MHD turbulence Model
• The Navier-Stokes-Voight model for image inpainting
• Pullback attractors for three-dimensional non-autonomous Navier–Stokes–Voigt equations
• Determining nodes, finite difference schemes and inertial manifolds
• Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
• UPPER BOUNDS ON THE NUMBER OF DETERMINING MODES, NODES, AND VOLUME ELEMENTS FOR A 3D MAGENETOHYDRODYNAMIC-<i>α</i> MODEL
• DETERMINING NODES OF THE GLOBAL ATTRACTOR FOR AN INCOMPRESSIBLE NON-NEWTONIAN FLUID
• Global attractors for 2D Navier–Stokes–Voight equations in an unbounded domain

This page was built for publication: Upper bounds on the number of determining nodes for 3D Navier–Stokes–Voigt equations