Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains

Archiv der Mathematik ◽

10.1007/bf01197597 ◽

1996 ◽

Vol 67 (4) ◽

pp. 319-330 ◽

Author(s):

R. Farwig ◽

H. Sohr

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Weighted Spaces ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations ◽

Global Estimates

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Asymptotic behaviour inL r for weak solutions of the Navier-Stokes equations in exterior domains

manuscripta mathematica ◽

10.1007/bf02567671 ◽

1992 ◽

Vol 74 (1) ◽

pp. 253-275 ◽

Author(s):

Hideo Kozono ◽

Takayoshi Ogawa ◽

Hermann Sohr

Keyword(s):

Asymptotic Behaviour ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations

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On the asymptotic behaviour of theL 2-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains

Communications in Mathematical Physics ◽

10.1007/bf01466723 ◽

1988 ◽

Vol 118 (3) ◽

pp. 385-400 ◽

Author(s):

Paolo Maremonti

Keyword(s):

Asymptotic Behaviour ◽

Weak Solutions ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Exterior Domains ◽

Suitable Weak Solutions ◽

Navier Stokes Equations

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On energy inequality, smoothness and large time behavior inL 2 for weak solutions of the Navier-Stokes equations in exterior domains

Mathematische Zeitschrift ◽

10.1007/bf01161636 ◽

1988 ◽

Vol 199 (4) ◽

pp. 455-478 ◽

Author(s):

Tetsuro Miyakawa ◽

Hermann Sohr

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Energy Inequality ◽

Large Time Behavior ◽

Navier Stokes ◽

Time Behavior ◽

Exterior Domains ◽

Navier Stokes Equations

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Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00279866 ◽

1986 ◽

Vol 94 (3) ◽

pp. 253-266 ◽

Author(s):

Giovanni P. Galdi ◽

Paolo Maremonti

Keyword(s):

Asymptotic Behavior ◽

Kinetic Energy ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations

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Uniqueness criterion of weak solutions to the stationary Navier–Stokes equations in exterior domains

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00145-x ◽

1999 ◽

Vol 38 (8) ◽

pp. 959-970 ◽

Author(s):

Hideo Kozono ◽

Masao Yamazaki

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations ◽

Uniqueness Criterion ◽

Stationary Navier Stokes Equations

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Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/1180135504 ◽

2007 ◽

Vol 59 (1) ◽

pp. 127-150 ◽

Author(s):

Reinhard FARWIG ◽

Hideo KOZONO ◽

Hermann SOHR

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Exterior Domains ◽

Navier Stokes Equations ◽

Nonhomogeneous Data

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Monotonic Decreasing and Asymptotic Behavior of the Kinetic Energy for Weak Solutions of the Navier-Stokes Equations in Exterior Domains

Analysis and Continuum Mechanics ◽

10.1007/978-3-642-83743-2_15 ◽

1989 ◽

pp. 277-290

Author(s):

Giovanni P. Galdi ◽

Paolo Maremonti

Keyword(s):

Asymptotic Behavior ◽

Kinetic Energy ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations

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On the Regularity and Decay of the Weak Solutions to the Steady-State Navier-Stokes Equations in Exterior Domains

Applied Nonlinear Analysis ◽

10.1007/0-306-47096-9_1 ◽

2002 ◽

pp. 1-18 ◽

Author(s):

Frédéric Alliot ◽

Cherif Amrouche

Keyword(s):

Steady State ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations

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Regularity of weak solutions to the Navier–Stokes equations in exterior domains

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-010-0055-4 ◽

2010 ◽

Vol 17 (3) ◽

pp. 303-321 ◽

Author(s):

Reinhard Farwig ◽

Christian Komo

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations ◽

Regularity Of Weak Solutions

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Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity

Journal of Mathematical Physics ◽

10.1063/1.5127797 ◽

2019 ◽

Vol 60 (12) ◽

pp. 121502

Author(s):

Boqiang Lü ◽

Rong Zhang ◽

Xin Zhong

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions ◽

Degenerate Viscosity

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