Localisation and compactness properties of the Navier-Stokes global regularity problem

Terence Tao

Type: Preprint

Publication Date: 2011-01-01

Citations: 9

DOI: https://doi.org/10.48550/arxiv.1108.1165

View Publication

Locations

arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
Project Euclid (Cornell University) - View - PDF
DataCite API - View
arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
Project Euclid (Cornell University) - View - PDF
DataCite API - View
arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
Project Euclid (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF	Localisation and compactness properties of the Navier–Stokes global regularity problem	2013	Terence Tao
+	A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation	2007	Terence Tao
+ PDF	A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation	2007	Terence Tao
+ PDF Chat	The local regularity theory for the Navier–Stokes equations near the boundary	2014	G. Serëgin Timofey Shilkin
+	Local Regularity Theory for Non-Stationary Navier-Stokes Equations	2014
+ PDF Chat	Local Regularity Theory of the Navier–Stokes Equations	2007	G. Serëgin
+	Local Regularity of Suitable Weak Solutions to the Navier--Stokes Equations Near the Boundary	2002	G. Serëgin
+	Global Regularity for the Incompressible MHD Equations	2024	士懿苏
+ PDF	On the interior regularity of weak solutions to the 2-D incompressible Euler equations	2017	Juhana Siljander José Miguel Urbano
+ PDF	Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	2024	Mitsuo Higaki Christophe Prange Jinping Zhuge
+	Global regularity of the Navier–Stokes equations on 3D periodic thin domain with large data	2020	Na Zhao
+	Solutions of the Navier-Stokes equations for large oscillatory data	2013	Igor Kukavica Walter Rusin Mohammed Ziane
+	Local Hadamard well-posedness results for the Navier-Stokes equations	2019	Tobias Barker
+ PDF	The local regularity theory for the Navier-Stokes Equations Near the Boundary	2014	G. Serëgin Timofey Shilkin
+	On local regularity for suitable weak solutions of the Navier–Stokes equations near the boundary	2011	А. С. Михайлов
+	The Navier-Stokes strain equation with applications to enstrophy growth and global regularity	2019	Evan Miller
+ PDF Chat	Quantitative partial regularity of the Navier-Stokes equations and applications	2024	Zhen Lei Xiao Ren
+ PDF Chat	Regularity for the stationary Navier–Stokes equations over bumpy boundaries and a local wall law	2020	Mitsuo Higaki Christophe Prange
+ PDF Chat	A Refinement of the Local Serrin-Type Regularity Criterion for a Suitable Weak Solution to the Navier–Stokes Equations	2014	Jiřı́ Neustupa
+ PDF Chat	Local regularity conditions on initial data for local energy solutions of the Navier–Stokes equations	2021	Kyungkeun Kang Hideyuki Miura Tai‐Peng Tsai

Works That Cite This (8)

Action	Title	Year	Authors
+	Self-Similar Solutions to the Nonstationary Navier-Stokes Equations	2016	Hao Jia Vladimír Šverák Tai‐Peng Tsai
+	On scale-invariant solutions of the Navier-Stokes equations	2012	Hao Jia Vladimír Šverák
+	On the existence of smooth periodic solutions of 3D homogeneous Navier-Stokes equations	2013	Junde Li
+	Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions	2012	Hao Jia Vladimír Šverák
+	On global schemes for highly degenerate Navier Stokes equation systems	2013	Joerg Kampen
+	On the multivariate Burgers equation and the incompressible Navier-Stokes equation (Part II)	2012	Joerg Kampen
+	Some infinite matrix analysis, a Trotter product formula for dissipative operators, and an algorithm for the incompressible Navier-Stokes equation	2012	Joerg Kampen
+ PDF Chat	Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions	2013	Hao Jia Vladimír Šverák

Works Cited by This (37)

Action	Title	Year	Authors
+	Solution of Some Vector Analysis Problems connected with Operators div and grad	1980	M. E. Bogovskiï
+	Nonlinear Dispersive Equations	2006	Terence Tao
+	Regularity problem for the 3D Navier-Stokes equations: the use of Kolmogorov's dissipation range	2011	Alexey Cheskidov Roman Shvydkoy
+	Some a priori estimates for weak solutions of the 3-D Navier-Stokes equations	1992	Dongho Chae
+	StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions	1984	Tosio Kato
+ PDF	Navier-Stokes equations and area of interfaces	1990	Peter Constantin
+	Un teorema di unicità per le equazioni di Navier-Stokes	1959	G. A. Prodi
+	The initial value problem for the navier-stokes equations	1966	Marvin Shinbrot Shmuel Kaniel
+ PDF	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda
+ PDF	Description of the lack of compactness for the Sobolev imbedding	1998	Patrick Gérard