The 3-D time-dependent Navier–Stokes equations on multi-connected domains with inhomogeneous boundary conditions and spectral hyperviscosity

DOI10.1007/S40879-024-00739-ZMaRDI QIDQ6500241

Publication date: 10 May 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Theoretical approximation in context of PDEs (35A35) Fundamentals of turbulence (76F02)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Mathematical perspectives on large eddy simulation models for turbulent flows
On the regularity of the Navier-Stokes equation in a thin periodic domain
Magnetohydrodynamic flows: Boussinesq conjecture
The asymptotic finite-dimensional character of a spectrally-hyperviscous model of 3D turbulent flow
Stable and accurate pressure approximation for unsteady incompressible viscous flow
On spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries
Solutions in \(L_ r\) of the Navier-Stokes initial value problem
Inertial manifolds for nonlinear evolutionary equations
The Euler-Poincaré equations and semidirect products with applications to continuum theories
A remark on Leray's inequality
Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with a multiply connected boundary
On the Stokes problem in Lipschitz domains
A spectral viscosity method for correcting the long-term behavior of POD models.
A spectral vanishing viscosity method for large eddy simulations
Fractional spectral vanishing viscosity method: application to the quasi-geostrophic equation
Stability criteria for the 2D \(\alpha\)-Euler equations
Inertial manifolds for the 3D modified-Leray-\(\alpha \) model with periodic boundary conditions
Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
Singular initial data and uniform global bounds for the hyper-viscous Navier-Stokes equation with periodic boundary conditions.
Large-eigenvalue global existence and regularity results for the Navier-Stokes equation
A unified quasi-spectral viscosity (QSV) approach to shock capturing and large-eddy simulation
Convergence results for a class of spectrally hyperviscous models of 3-D turbulent flow
The existence of solution for viscous Camassa-Holm equations on bounded domain in five dimensions
Stabilisation of spectral/\(hp\) element methods through spectral vanishing viscosity: Application to fluid mechanics modelling
An overview of projection methods for incompressible flows
On the steady-state solutions of the Navier-Stokes equations. III
On simulating the turbulent flow around the Ahmed body: a French-German collaborative evaluation of LES and DES
Spectral vanishing viscosity method for large eddy simulation of turbulent flows
Asymptotic Galerkin convergence and dynamical system results for the 3-D spectrally-hyperviscous Navier-Stokes equations on bounded domains
Global regularity criterion for the 3D Navier-Stokes equations with large data
Convergence of Spectral Methods for Nonlinear Conservation Laws
Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
Local energy flux and subgrid-scale statistics in three-dimensional turbulence
Spectral and hyper eddy viscosity in high-Reynolds-number turbulence
Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
On the Reynolds time-averaged equations and the long-time behavior of Leray–Hopf weak solutions, with applications to ensemble averages
Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows
Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires
The Navier-Stokes-alpha model of fluid turbulence
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
Existence, uniqueness, and asymptotic stability results for the 3-D steady and unsteady Navier–Stokes equations on multi-connected domains with inhomogeneous boundary conditions

This page was built for publication: The 3-D time-dependent Navier–Stokes equations on multi-connected domains with inhomogeneous boundary conditions and spectral hyperviscosity