scientific article; zbMATH DE number 7429164
DOI10.4134/BKMS.b200470zbMath1477.35152MaRDI QIDQ5859942
Le Tran Tinh, Cung The Anh, Le Thi Thuy
Publication date: 18 November 2021
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
weak solutionglobal attractorfractal dimensionfractional Laplacianasymptotic determining operatorLeray-\(\alpha\)-like models
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Fractional derivatives and integrals (26A33) Direct numerical and large eddy simulation of turbulence (76F65) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Dynamical systems approach to turbulence (76F20) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global solutions to the generalized Leray-alpha equation with mixed dissipation terms
- Analysis of a general family of regularized Navier-Stokes and MHD models
- On the global regularity of generalized Leray-alpha type models
- Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models
- Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
- Asymptotic analysis of the Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Inertial manifolds for the hyperviscous Navier-Stokes equations
- On a critical Leray-\(\alpha\) model of turbulence
- Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
- Mathematical results for some \(\alpha \) models of turbulence with critical and subcritical regularizations
- Global solutions to the Navier-Stokes-\({\bar \omega}\) and related models with rough initial data
- Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- Determining modes and fractal dimension of turbulent flows
- Commutator estimates and the euler and navier-stokes equations
- Determining Projections and Functionals for Weak Solutions of the Navier-Stokes Equations
- Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems
- On a Leray–α model of turbulence