On L 1 -summability and asymptotic profiles for smooth solutions to Navier?Stokes equations in a 3D exterior domain

Cheng He; Tetsuro Miyakawa

doi:10.1007/s00209-003-0551-x

On L 1 -summability and asymptotic profiles for smooth solutions to Navier?Stokes equations in a 3D exterior domain

Mathematische Zeitschrift ◽

10.1007/s00209-003-0551-x ◽

2003 ◽

Vol 245 (2) ◽

pp. 387-417 ◽

Cited By ~ 28

Author(s):

Cheng He ◽

Tetsuro Miyakawa

Keyword(s):

Exterior Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier–Stokes Equations

Chinese Physics Letters ◽

10.1088/0256-307x/25/6/052 ◽

2008 ◽

Vol 25 (6) ◽

pp. 2115-2117 ◽

Cited By ~ 3

Author(s):

Guo Bo-Ling ◽

Yang Gan-Shan ◽

Pu Xue-Ke

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations ◽

Global Smooth Solutions

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$L\sb 2$ and $L\sb \infty$ estimates of the solutions for the compressible Navier-Stokes equations in a 3D exterior domain

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1145476422 ◽

2002 ◽

Vol 38 (1) ◽

pp. 211-225 ◽

Cited By ~ 2

Author(s):

Takayuki Kobayashi

Keyword(s):

Exterior Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Viscous limits of the compressible Navier–Stokes equations to piecewise smooth solutions with two interacting out-going shocks

Journal of Mathematical Physics ◽

10.1063/5.0001545 ◽

2020 ◽

Vol 61 (2) ◽

pp. 021506

Author(s):

Shixiang Ma

Keyword(s):

Stokes Equations ◽

Piecewise Smooth ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain

Indiana University Mathematics Journal ◽

10.1512/iumj.2011.60.4490 ◽

2011 ◽

Vol 60 (6) ◽

pp. 2093-2106 ◽

Cited By ~ 4

Author(s):

Ching-Lung Lin ◽

Gunther Uhlmann ◽

Jenn-Nan Wang

Keyword(s):

Asymptotic Behavior ◽

Exterior Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Asymptotic Behavior Of Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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On Smooth and Piecewise Smooth Solutions of Navier-Stokes Equations

Open Journal of Mathematical Modeling ◽

10.12966/ojmmo.09.02.2013 ◽

2013 ◽

Vol 1 (5) ◽

pp. 153

Author(s):

Olteanu Octav

Keyword(s):

Stokes Equations ◽

Piecewise Smooth ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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Blow-up of smooth solutions to compressible quantum Navier-Stokes equations

Scientia Sinica Mathematica ◽

10.1360/n012018-00134 ◽

2019 ◽

Vol 50 (6) ◽

pp. 873

Author(s):

Dong Jianwei ◽

Ju Qiangchang

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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Partial regularity of a generalized solution to the Navier-Stokes equations in exterior domain

Communications in Mathematical Physics ◽

10.1007/bf01209017 ◽

1987 ◽

Vol 110 (1) ◽

pp. 75-87 ◽

Cited By ~ 11

Author(s):

Paolo Maremonti

Keyword(s):

Exterior Domain ◽

Partial Regularity ◽

Stokes Equations ◽

Generalized Solution ◽

Navier Stokes ◽

Navier Stokes Equations

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A class of sharp inequalities for periodic functions. Addendum to the paper “Smooth solutions of the Navier-Stokes equations” by S.I. Pokhozhaev

Sbornik Mathematics ◽

10.1070/sm2014v205n02abeh004372 ◽

2014 ◽

Vol 205 (2) ◽

pp. 220-223 ◽

Cited By ~ 1

Author(s):

A A Ilyin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Periodic Functions ◽

Navier Stokes Equations

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Stability of periodic solutions of Navier-Stokes equations in a three-dimensional exterior domain

Izvestiya Mathematics ◽

10.1070/im2003v067n04abeh000444 ◽

2003 ◽

Vol 67 (4) ◽

pp. 781-795

Author(s):

L I Sazonov

Keyword(s):

Periodic Solutions ◽

Exterior Domain ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations

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On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2018081 ◽

2018 ◽

Vol 17 (4) ◽

pp. 1681-1721 ◽

Cited By ~ 4

Author(s):

Yoshihiro Shibata ◽

◽

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Exterior Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Local Wellposedness

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