StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions

Tosio Kato

doi:10.1007/bf01174182

StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions

Mathematische Zeitschrift ◽

10.1007/bf01174182 ◽

1984 ◽

Vol 187 (4) ◽

pp. 471-480 ◽

Cited By ~ 623

Author(s):

Tosio Kato

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Navier Stokes Equation

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On the size of the regular set of suitable weak solutions of the Navier–Stokes equation

Journées Équations aux dérivées partielles ◽

10.5802/jedp.634 ◽

2015 ◽

pp. 1-14 ◽

Cited By ~ 1

Author(s):

Renato Lucà

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Suitable Weak Solutions ◽

Navier Stokes Equation

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Nonuniqueness of weak solutions to the Navier-Stokes equation

Annals of Mathematics ◽

10.4007/annals.2019.189.1.3 ◽

2019 ◽

Vol 189 (1) ◽

pp. 101 ◽

Cited By ~ 36

Author(s):

Buckmaster ◽

Vicol

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Navier Stokes Equation

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Existence of mild solutions and regularity criteria of weak solutions to the viscoelastic Navier–Stokes equation with damping

Communications in Mathematical Sciences ◽

10.4310/cms.2020.v18.n1.a9 ◽

2020 ◽

Vol 18 (1) ◽

pp. 205-226 ◽

Cited By ~ 1

Author(s):

Zhong Tan ◽

Wenpei Wu ◽

Jianfeng Zhou

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Mild Solutions ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equation

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Interior regularity of weak solutions of the time-dependent Navier-Stokes equation

Proceedings of the Japan Academy ◽

10.3792/pja/1195524029 ◽

1960 ◽

Vol 36 (5) ◽

pp. 273-277 ◽

Cited By ~ 62

Author(s):

Takehiko Ohyama

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Interior Regularity ◽

Regularity Of Weak Solutions

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Almost sure existence of global weak solutions to the 3D incompressible Navier-Stokes equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017215 ◽

2017 ◽

Vol 37 (9) ◽

pp. 5003-5019 ◽

Cited By ~ 1

Author(s):

Jingrui Wang ◽

◽

Keyan Wang ◽

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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Construction of weak solutions of a certain stochastic Navier–Stokes equation

Stochastics ◽

10.1080/17442508.2013.848864 ◽

2013 ◽

Vol 86 (4) ◽

pp. 573-593 ◽

Cited By ~ 3

Author(s):

Satoshi Yokoyama

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Navier Stokes Equation

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The Uniqueness of Weak Solutions of the One‐Dimensional Scalar Analog to the Navier‐Stokes Equation

Journal of Mathematical Physics ◽

10.1063/1.1704237 ◽

1964 ◽

Vol 5 (9) ◽

pp. 1290-1292

Author(s):

Edgar A. Kraut

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

One Dimensional ◽

The One ◽

Scalar Analog

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On the Hausdorff Dimension of the Singular Set in Time for Weak Solutions to the Non-stationary Navier–Stokes Equation on Torus

Vietnam Journal of Mathematics ◽

10.1007/s10013-014-0117-8 ◽

2015 ◽

Vol 43 (2) ◽

pp. 283-295 ◽

Cited By ~ 3

Author(s):

Dao Quang Khai ◽

Nguyen Minh Tri

Keyword(s):

Hausdorff Dimension ◽

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Singular Set ◽

Navier Stokes Equation

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Global weak solutions to the compressible quantum Navier–Stokes equation and its semi-classical limit

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2017.12.002 ◽

2018 ◽

Vol 114 ◽

pp. 191-210 ◽

Cited By ~ 10

Author(s):

Ingrid Lacroix-Violet ◽

Alexis Vasseur

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Classical Limit ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equation

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Construction of weak solutions of the Navier-Stokes equation in a noncylindrical domain

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1969-12224-x ◽

1969 ◽

Vol 75 (2) ◽

pp. 465-469 ◽

Cited By ~ 6

Author(s):

Hiroshi Fujita ◽

Niko Sauer

Keyword(s):

Stokes Equation ◽

Weak Solutions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Noncylindrical Domain

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