Sharp one component regularity for Navier-Stokes

DOI10.1007/s00205-018-1292-7zbMath1412.76021arXiv1708.04119OpenAlexW2748717200WikidataQ129409169 ScholiaQ129409169MaRDI QIDQ1710406

Peng Zhang

Publication date: 22 January 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04119

zbMATH Keywords

mild solutionconditional regularity

Mathematics Subject Classification ID

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

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Cites Work

• Small \(\dot{B}^{-1}_{\infty,\infty}\) implies regularity
• On the critical one component regularity for 3-D Navier-Stokes system: general case
• Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Un teorema di unicita per le equazioni di Navier-Stokes
• On the critical one component regularity for 3-D Navier-Stokes system
• On the regularity of the solutions of the Navier–Stokes equations via one velocity component
• Regularity criteria for the three-dimensional Navier-Stokes equations
• On partial regularity results for the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
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