A Sufficient Condition of Regularity for Axially Symmetric Solutions to the Navier–Stokes Equations

DOI10.1137/060669838zbMath1169.35366arXivmath/0702720OpenAlexW2030914670MaRDI QIDQ5451656

Wojciech M. Zajączkowski, Gregory A. Seregin

Publication date: 27 March 2008

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702720

zbMATH Keywords

Navier-Stokes equationsweak solutionsaxial symmetrybackward uniqueness

Mathematics Subject Classification ID

Related Items (14)

Selected Topics of Local Regularity Theory for Navier–Stokes Equations ⋮ Local regularity of axisymmetric solutions to the Navier–Stokes equations ⋮ Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \) ⋮ A note on bounded scale-invariant quantities for the Navier-Stokes equations ⋮ \(L^\infty\) a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems ⋮ Analysis of time fractional and space nonlocal stochastic incompressible Navier-Stokes equation driven by white noise ⋮ Local regularity of axisymmetric solutions to the Navier-Stokes equations ⋮ Localization of analytic regularity criteria on the vorticity and balance between the vorticity magnitude and coherence of the vorticity direction in the 3D NSE ⋮ Stability of 2D incompressible flows in \(\mathbb R^3\) ⋮ Regularity of the 3D Navier-Stokes equations with viewpoint of 2D flow ⋮ Interior regularity criterion for incompressible Ericksen-Leslie system ⋮ On blow-up space jets for the Navier–Stokes equations in R3 with convergence to Euler equations ⋮ A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations ⋮ A note on local regularity of axisymmetric solutions to the Navier-Stokes equations

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