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

Reinhard FARWIG; Hideo KOZONO; Hermann SOHR

doi:10.2969/jmsj/1180135504

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 ◽

Cited By ~ 26

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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Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data

Progress in Nonlinear Differential Equations and Their Applications - Nonlinear Elliptic and Parabolic Problems ◽

10.1007/3-7643-7385-7_7 ◽

2006 ◽

pp. 113-136 ◽

Cited By ~ 10

Author(s):

Reinhard Farwig ◽

Giovanni P. Galdi ◽

Hermann Sohr

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Nonhomogeneous Data

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Erratum to: Existence and Regularity of Very Weak Solutions of the Stationary Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-010-0310-1 ◽

2010 ◽

Vol 196 (3) ◽

pp. 1079-1080 ◽

Cited By ~ 1

Author(s):

Hyunseok Kim

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Very weak solutions of the stationary Navier–Stokes equations for an incompressible fluid past obstacles

Nonlinear Analysis ◽

10.1016/j.na.2016.08.017 ◽

2016 ◽

Vol 147 ◽

pp. 145-168 ◽

Cited By ~ 2

Author(s):

Dugyu Kim ◽

Hyunseok Kim

Keyword(s):

Incompressible Fluid ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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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 ◽

Cited By ~ 16

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 very weak solutions of the stationary Navier–Stokes equations

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-009-0077-1 ◽

2009 ◽

Vol 55 (2) ◽

pp. 279-287

Author(s):

Hyunseok Kim

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary 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 ◽

Cited By ~ 17

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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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 ◽

Cited By ~ 15

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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On the space–time regularity of C(0,T;Ln)-very weak solutions to the Navier–Stokes equations

Nonlinear Analysis ◽

10.1016/j.na.2004.05.013 ◽

2004 ◽

Vol 58 (5-6) ◽

pp. 703-717 ◽

Cited By ~ 3

Author(s):

Luigi C Berselli ◽

Giovanni P Galdi

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Space Time ◽

Navier Stokes ◽

Very 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 ◽

Cited By ~ 66

Author(s):

Tetsuro Miyakawa ◽

Hermann Sohr

Keyword(s):

Weak Solutions ◽

Large Time ◽

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 ◽

Cited By ~ 45

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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