Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications
From MaRDI portal
Publication:3382620
DOI10.1093/imrn/rnz327zbMath1479.35618arXiv1812.10509OpenAlexW3129287124WikidataQ126863180 ScholiaQ126863180MaRDI QIDQ3382620
Kyungkeun Kang, Tai-Peng Tsai, Hideyuki Miura
Publication date: 21 September 2021
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.10509
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Self-similar solutions to PDEs (35C06)
Related Items (13)
Existence of global weak solutions to the Navier-Stokes equations in weighted spaces ⋮ Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations ⋮ Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation ⋮ Localized Quantitative Estimates and Potential Blow-Up Rates for the Navier–Stokes Equations ⋮ Spatial decay of discretely self-similar solutions to the Navier-Stokes equations ⋮ Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces ⋮ Local \(L^2\) theory of the fractional Navier-Stokes equations and the self-similar solution ⋮ Localized smoothing for the Navier-Stokes equations and concentration of critical norms near singularities ⋮ On the local pressure expansion for the Navier-Stokes equations ⋮ Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data ⋮ Local Energy Solutions to the Navier--Stokes Equations in Wiener Amalgam Spaces ⋮ 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
This page was built for publication: Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications