A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations

DOI10.1007/978-3-031-19252-4_15MaRDI QIDQ6614875

G. Seregin

Publication date: 8 October 2024

zbMATH Keywords

Cauchy problem local regularity partial regularity theory potential singularity weak/strong solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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Regularity of solutions to axisymmetric Navier-Stokes equations with a slightly supercritical condition
On the global well-posedness for the Boussinesq system with horizontal dissipation
Regularity of 3D axisymmetric Navier-Stokes equations
On divergence-free drifts
A Liouville theorem for the axially-symmetric Navier-Stokes equations
Regularity criterion to the axially symmetric Navier-Stokes equations
Partial regularity of solutions to the Navier-Stokes equations
Hausdorff measure and the Navier-Stokes equations
On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Some remarks on regularity criteria of axially symmetric Navier-Stokes equations
On axially symmetric flows in \(\mathbb{R}^3\)
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
Local regularity of axisymmetric solutions to the Navier-Stokes equations
Criticality of the axially symmetric Navier-Stokes equations
On the continuity of solutions to advection-diffusion equations with slightly super-critical divergence-free drifts
On the movement of a space-filling viscous liquid
Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity
The Harnack inequality and related properties for solutions of elliptic and parabolic equations with divergence-free lower-order coefficients
On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations
Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II
A new proof of the Caffarelli-Kohn-Nirenberg theorem
Regularity of Axially Symmetric Flows in a Half-Space in Three Dimensions
Partial regularity of suitable weak solutions of the navier-stokes equations
Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System
A Sufficient Condition of Regularity for Axially Symmetric Solutions to the Navier–Stokes Equations

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