Localized smoothing for the Navier-Stokes equations and concentration of critical norms near singularities
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Publication:1984804
DOI10.1007/s00205-020-01495-6zbMath1439.35363arXiv1812.09115OpenAlexW3009359555MaRDI QIDQ1984804
Tobias Barker, Christophe Prange
Publication date: 7 April 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.09115
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44)
Related Items (15)
About local continuity with respect to \(L_2\) initial data for energy solutions of the Navier-Stokes equations ⋮ Navier-Stokes regularity criteria in sum spaces ⋮ Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations ⋮ Localised necessary conditions for singularity formation in the Navier-Stokes equations with curved boundary ⋮ Localized Quantitative Estimates and Potential Blow-Up Rates for the Navier–Stokes Equations ⋮ Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces ⋮ Epsilon regularity for the Navier-Stokes equations via weak-strong uniqueness ⋮ The local characterizations of the singularity formation for the MHD equations ⋮ The role of the pressure in the regularity theory for the Navier-Stokes equations ⋮ Quantitative regularity for the Navier-Stokes equations via spatial concentration ⋮ Mild criticality breaking for the Navier-Stokes equations ⋮ Scale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditions ⋮ Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations ⋮ Localized smoothing and concentration for the Navier-Stokes equations in the half space ⋮ Remarks on sparseness and regularity of Navier–Stokes solutions
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