Global solutions for the Navier-Stokes equations in the rotational framework

Mathematische Annalen ◽

10.1007/s00208-013-0923-4 ◽

2013 ◽

Vol 357 (2) ◽

pp. 727-741 ◽

Author(s):

Tsukasa Iwabuchi ◽

Ryo Takada

Keyword(s):

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Global solutions to Keller-Segel-Navier-Stokes equations with a class of large initial data in critical Besov spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4538 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7425-7437

Author(s):

Minghua Yang

Keyword(s):

Initial Data ◽

Besov Spaces ◽

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Large Initial Data ◽

Navier Stokes Equations ◽

Critical Besov Spaces

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Large global solutions to the three dimensional chemotaxis-Navier–Stokes equations slowly varying in one direction

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106773 ◽

2021 ◽

Vol 112 ◽

pp. 106773

Author(s):

Qionglei Chen ◽

Xiaonan Hao

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

Global Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Exponential Decay and Regularity of Global Solutions for the 3D Navier–Stokes Equations Posed on Lipschitz and Smooth Domains

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-020-00499-2 ◽

2020 ◽

Vol 22 (3) ◽

Author(s):

N. A. Larkin ◽

M. V. Padilha

Keyword(s):

Exponential Decay ◽

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Existence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2016008 ◽

2016 ◽

Vol 50 (6) ◽

pp. 1817-1823 ◽

Author(s):

Hakima Bessaih ◽

Saber Trabelsi ◽

Hamdi Zorgati

Keyword(s):

Existence And Uniqueness ◽

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow with Discontinuous Initial Data

Journal of Differential Equations ◽

10.1006/jdeq.1995.1111 ◽

1995 ◽

Vol 120 (1) ◽

pp. 215-254 ◽

Author(s):

D. Hoff

Keyword(s):

Initial Data ◽

Compressible Flow ◽

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Discontinuous Initial Data

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On global solutions of Cauchy problems for compressible Navier–Stokes equations

Nonlinear Analysis ◽

10.1016/s0362-546x(00)00238-8 ◽

2002 ◽

Vol 48 (8) ◽

pp. 1087-1105 ◽

Author(s):

Mishio Kawashita

Keyword(s):

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Cauchy Problems ◽

Navier Stokes Equations

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On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid

Siberian Mathematical Journal ◽

10.1007/bf02106835 ◽

1995 ◽

Vol 36 (6) ◽

pp. 1108-1141 ◽

Author(s):

V. A. Vaigant ◽

A. V. Kazhikhov

Keyword(s):

Viscous Fluid ◽

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Two Dimensional ◽

Compressible Viscous Fluid ◽

Navier Stokes Equations

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Large global solutions to 3-D inhomogeneous Navier–Stokes equations slowly varying in one variable

Journal of Functional Analysis ◽

10.1016/j.jfa.2011.07.026 ◽

2011 ◽

Vol 261 (11) ◽

pp. 3181-3210 ◽

Author(s):

Guilong Gui ◽

Jingchi Huang ◽

Ping Zhang

Keyword(s):

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Global solutions of Navier–Stokes equations for large initial data belonging to spaces with dominating mixed smoothness

Journal of Complexity ◽

10.1016/j.jco.2014.10.003 ◽

2015 ◽

Vol 31 (2) ◽

pp. 147-161

Author(s):

Hans Triebel

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Large Initial Data ◽

Navier Stokes Equations ◽

Dominating Mixed Smoothness ◽

Mixed Smoothness

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Some stability results on global solutions to the Navier–Stokes equations

Analysis ◽

10.1515/anly-2014-1299 ◽

2015 ◽

Vol 35 (3) ◽

Author(s):

Isabelle Gallagher

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

Global Solutions ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations ◽

Global Smooth Solutions ◽

Whole Space ◽

The Stability ◽

Stability Results

AbstractIn these notes we present some results concerning the existence of global smooth solutions to the three-dimensional Navier–Stokes equations set in the whole space. We are particularly interested in the stability of the set of initial data giving rise to a global smooth solution.

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