The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier--Stokes equations.
From MaRDI portal
Publication:1408171
DOI10.1016/S1631-073X(03)00174-2zbMath1040.35075MaRDI QIDQ1408171
Publication date: 15 September 2003
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (14)
Navier–Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines—the case of a bounded domain ⋮ A new regularity criterion for the 3D incompressible Boussinesq equations in terms of the middle eigenvalue of the strain tensor in the homogeneous Besov spaces with negative indices ⋮ Addendum to: ``A regularity criterion for the Navier-Stokes equation involving only the middle eigenvalue of the strain tensor ⋮ Extension criterion to the 3D Navier-Stokes-Cahn-Hilliard equations ⋮ Global regularity for solutions of the three dimensional Navier–Stokes equation with almost two dimensional initial data ⋮ Navier-Stokes regularity criteria in Vishik spaces ⋮ Fractional Navier–Stokes regularity criterion involving the positive part of the intermediate eigenvalue of the strain matrix ⋮ On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions ⋮ Locally space-time anisotropic regularity criteria for the Navier-Stokes equations in terms of two vorticity components ⋮ On the deformation tensor regularity for the Navier-Stokes equations in Lorentz spaces ⋮ A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation ⋮ A locally anisotropic regularity criterion for the Navier–Stokes equation in terms of vorticity ⋮ Well-posedness and blowup criterion to the double-diffusive magnetoconvection system in 3D ⋮ Improvement of several regularity criteria for the Navier-Stokes equations
Cites Work
This page was built for publication: The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier--Stokes equations.