On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data

Journal of Differential Equations ◽

10.1016/s0022-0396(03)00153-0 ◽

2003 ◽

Vol 194 (1) ◽

pp. 39-50 ◽

Author(s):

Igor Kukavica

Keyword(s):

Initial Data ◽

Weak Solutions ◽

Stokes System ◽

Navier Stokes ◽

Local Uniqueness

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On Local Uniqueness of Weak Solutions to the Navier–Stokes System with BMO −1 Initial Datum

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-008-9116-3 ◽

2008 ◽

Vol 20 (3) ◽

pp. 719-732 ◽

Author(s):

Igor Kukavica ◽

Vlad Vicol

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Navier Stokes ◽

Local Uniqueness

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On global weak solutions to the Cauchy problem for the Navier–Stokes equations with largeL3-initial data

Nonlinear Analysis ◽

10.1016/j.na.2016.01.018 ◽

2017 ◽

Vol 154 ◽

pp. 269-296 ◽

Author(s):

G. Seregin ◽

V. Šverák

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

The Cauchy Problem

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Weak Solutions for Navier–Stokes Equations with Initial Data in Weighted $$L^2$$L2 Spaces

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-020-01510-w ◽

2020 ◽

Vol 237 (1) ◽

pp. 347-382 ◽

Author(s):

Pedro Gabriel Fernández-Dalgo ◽

Pierre Gilles Lemarié-Rieusset

Keyword(s):

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-021-01710-y ◽

2021 ◽

Author(s):

Hammadi Abidi ◽

Guilong Gui

Keyword(s):

Initial Data ◽

Stokes System ◽

Navier Stokes ◽

Well Posedness ◽

Large Initial Data ◽

Critical Spaces

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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 ◽

Author(s):

Ji Liu ◽

Yifu Wang

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Three Dimensional ◽

Navier Stokes ◽

Global Weak Solutions

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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 ◽

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 ◽

Author(s):

Weirun Tao ◽

Yuxiang Li

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Three Dimensional ◽

Navier Stokes ◽

Global Weak Solutions

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

Journal of Differential Equations ◽

10.1016/j.jde.2015.05.012 ◽

2015 ◽

Vol 259 (8) ◽

pp. 3730-3754 ◽

Author(s):

Qingshan Zhang ◽

Yuxiang Li

Keyword(s):

Weak Solutions ◽

Nonlinear Diffusion ◽

Stokes System ◽

Three Dimensional ◽

Navier Stokes ◽

Global Weak Solutions

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Existence of weak solutions for the Navier-Stokes equations with initial data in $L\sp p$

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1990-0968416-0 ◽

1990 ◽

Vol 318 (1) ◽

pp. 179-200 ◽

Author(s):

Calixto P. Calderón

Keyword(s):

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions

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Global weak solutions in a three-dimensional degenerate chemotaxis-Navier–Stokes system modeling coral fertilization

Nonlinearity ◽

10.1088/1361-6544/ab834e ◽

2020 ◽

Vol 33 (7) ◽

pp. 3237-3267

Author(s):

Ji Liu

Keyword(s):

Weak Solutions ◽

Stokes System ◽

System Modeling ◽

Three Dimensional ◽

Navier Stokes ◽

Global Weak Solutions

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