Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations

DOI10.1007/s42985-021-00127-2zbMath1480.35311arXiv2106.03980OpenAlexW3170387579WikidataQ114216482 ScholiaQ114216482MaRDI QIDQ2077117

Tai-Peng Tsai, Kyungkeun Kang, Hideyuki Miura

Publication date: 22 February 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.03980

zbMATH Keywords

Navier-Stokes equationsregular setslocal energy solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (1)

Localized smoothing and concentration for the Navier-Stokes equations in the half space

Cites Work

• Unnamed Item
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• Localisation and compactness properties of the Navier-Stokes global regularity problem
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Solutions in \(L_ r\) of the Navier-Stokes initial value problem
• On Leray's self-similar solutions of the Navier-Stokes equations
• Local energy weak solutions for the Navier-Stokes equations in the half-space
• Localized smoothing for the Navier-Stokes equations and concentration of critical norms near singularities
• Quantitative regularity for the Navier-Stokes equations via spatial concentration
• Weak solutions for Navier-Stokes equations with initial data in weighted \(L^2\) spaces
• Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation
• Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• On the regularity set and angular integrability for the Navier-Stokes equation
• Minimal $L^3$-Initial Data for Potential Navier--Stokes Singularities
• Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
• Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications
• The Navier-Stokes Problem in the 21st Century
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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