The existence and decay estimates of the solutions to $3$D stochastic Navier-Stokes equations with additive noise in an exterior domain

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.4323 ◽

2014 ◽

Vol 34 (10) ◽

pp. 4323-4341

Author(s):

Takeshi Taniguchi

Keyword(s):

Exterior Domain ◽

Additive Noise ◽

Stokes Equations ◽

Navier Stokes ◽

Decay Estimates ◽

Navier Stokes Equations

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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 ◽

Author(s):

Takayuki Kobayashi

Keyword(s):

Exterior Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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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 ◽

Author(s):

Cheng He ◽

Tetsuro Miyakawa

Keyword(s):

Exterior Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations

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Optimal Time-decay Estimates for the Compressible Navier–Stokes Equations in the Critical L p Framework

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-016-1067-y ◽

2016 ◽

Vol 224 (1) ◽

pp. 53-90 ◽

Author(s):

Raphaël Danchin ◽

Jiang Xu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Optimal Time ◽

Decay Estimates ◽

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 ◽

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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Analyticity and Decay Estimates of the Navier–Stokes Equations in Critical Besov Spaces

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-012-0532-5 ◽

2012 ◽

Vol 205 (3) ◽

pp. 963-991 ◽

Author(s):

Hantaek Bae ◽

Animikh Biswas ◽

Eitan Tadmor

Keyword(s):

Besov Spaces ◽

Stokes Equations ◽

Navier Stokes ◽

Decay Estimates ◽

Navier Stokes Equations ◽

Critical Besov Spaces

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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 ◽

Author(s):

Paolo Maremonti

Keyword(s):

Exterior Domain ◽

Partial Regularity ◽

Stokes Equations ◽

Generalized Solution ◽

Navier Stokes ◽

Navier Stokes Equations

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Decay estimates for the compressible Navier-Stokes equations in unbounded domains

Mathematische Zeitschrift ◽

10.1007/bf02570825 ◽

1992 ◽

Vol 209 (1) ◽

pp. 115-130 ◽

Author(s):

Klaus Deckelnick

Keyword(s):

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Decay Estimates ◽

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 ◽

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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Mixed Spherical Harmonic-Generalized Laguerre Spectral Approximation and Its Application to Navier-Stokes Equations Set in Exterior Domain

2010 International Conference on Computational and Information Sciences ◽

10.1109/iccis.2010.124 ◽

2010 ◽

Author(s):

Zhang Xiao-yong ◽

Ning Tong-ke

Keyword(s):

Spherical Harmonic ◽

Exterior Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Spectral Approximation ◽

Navier Stokes Equations

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