Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains

Reinhard Farwig;  ; Paul Felix  Riechwald;

doi:10.3934/dcdss.2016.9.157

Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2016.9.157 ◽

2016 ◽

Vol 9 (1) ◽

pp. 157-172 ◽

Cited By ~ 2

Author(s):

Reinhard Farwig ◽

◽

Paul Felix Riechwald ◽

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Unbounded Domains ◽

Regularity Criteria ◽

Navier Stokes ◽

General Unbounded Domains

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Very weak solutions to the Navier–Stokes system in general unbounded domains

Journal of Evolution Equations ◽

10.1007/s00028-014-0258-y ◽

2014 ◽

Vol 15 (2) ◽

pp. 253-279 ◽

Cited By ~ 6

Author(s):

Reinhard Farwig ◽

Paul Felix Riechwald

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Unbounded Domains ◽

Navier Stokes ◽

Very Weak Solutions ◽

General Unbounded Domains

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Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-015-0317-2 ◽

2015 ◽

Vol 22 (5) ◽

pp. 1143-1165 ◽

Cited By ~ 2

Author(s):

Reinhard Farwig ◽

Paul Felix Riechwald

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Unbounded Domains ◽

Navier Stokes ◽

Very Weak Solutions ◽

General Unbounded Domains

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Algebraic decay of weak solutions to 3D Navier-Stokes equations in general unbounded domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124300 ◽

2020 ◽

Vol 491 (1) ◽

pp. 124300

Author(s):

Zhaoxia Liu

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Algebraic Decay ◽

Navier Stokes Equations ◽

General Unbounded Domains

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Regularity criteria for weak solutions of the Navier-Stokes system

Proceedings of Symposia in Pure Mathematics - Nonlinear Functional Analysis and Its Applications ◽

10.1090/pspum/045.1/843578 ◽

1986 ◽

pp. 449-453 ◽

Cited By ~ 4

Author(s):

Yoshikazu Giga

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Regularity Criteria ◽

Navier Stokes

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Regularity Criteria for the Axisymmetric Navier–Stokes System with Negative Weights

Results in Mathematics ◽

10.1007/s00025-019-1059-y ◽

2019 ◽

Vol 74 (4) ◽

Author(s):

Zujin Zhang

Keyword(s):

Stokes System ◽

Regularity Criteria ◽

Navier Stokes

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New $$\varepsilon $$-Regularity Criteria of Suitable Weak Solutions of the 3D Navier–Stokes Equations at One Scale

Journal of Nonlinear Science ◽

10.1007/s00332-019-09555-2 ◽

2019 ◽

Vol 29 (6) ◽

pp. 2681-2698 ◽

Cited By ~ 4

Author(s):

Cheng He ◽

Yanqing Wang ◽

Daoguo Zhou

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Suitable Weak Solutions ◽

Navier Stokes Equations

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Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system involving a tensor-valued sensitivity with saturation

Journal of Differential Equations ◽

10.1016/j.jde.2017.01.024 ◽

2017 ◽

Vol 262 (10) ◽

pp. 5271-5305 ◽

Cited By ~ 17

Author(s):

Ji Liu ◽

Yifu Wang

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Three Dimensional ◽

Navier Stokes ◽

Global Weak Solutions

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On the Nonhomogeneous Boundary Value Problem for the Navier–Stokes System in a Class of Unbounded Domains

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-011-0089-3 ◽

2012 ◽

Vol 14 (4) ◽

pp. 693-716 ◽

Cited By ~ 7

Author(s):

K. Kaulakytė ◽

K. Pileckas

Keyword(s):

Boundary Value Problem ◽

Stokes System ◽

Boundary Value ◽

Unbounded Domains ◽

Navier Stokes ◽

Nonhomogeneous Boundary

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Global existence of weak solutions to a nonlocal Cahn–Hilliard–Navier–Stokes system

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.08.008 ◽

2012 ◽

Vol 386 (1) ◽

pp. 428-444 ◽

Cited By ~ 45

Author(s):

Pierluigi Colli ◽

Sergio Frigeri ◽

Maurizio Grasselli

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes System ◽

Navier Stokes ◽

Existence Of Weak Solutions

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Global weak solutions for the three-dimensional chemotaxis-Navier–Stokes system with slowp-Laplacian diffusion

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.06.005 ◽

2019 ◽

Vol 45 ◽

pp. 26-52 ◽

Cited By ~ 6

Author(s):

Weirun Tao ◽

Yuxiang Li

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Three Dimensional ◽

Navier Stokes ◽

Global Weak Solutions

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