On very weak solutions of the stationary Navier–Stokes equations

Hyunseok Kim

doi:10.1007/s11565-009-0077-1

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-008-0168-7 ◽

2008 ◽

Vol 193 (1) ◽

pp. 117-152 ◽

Cited By ~ 22

Author(s):

Hyunseok Kim

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

Download Full-text

Very weak solutions and large uniqueness classes of stationary Navier–Stokes equations in bounded domains of R2

Journal of Differential Equations ◽

10.1016/j.jde.2005.10.009 ◽

2006 ◽

Vol 227 (2) ◽

pp. 564-580 ◽

Cited By ~ 20

Author(s):

R. Farwig ◽

G.P. Galdi ◽

H. Sohr

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Bounded Domains ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

Download Full-text

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

Download Full-text

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 ◽

Cited By ~ 28

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

Download Full-text

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

Nonlinear Analysis ◽

10.1016/j.na.2005.05.034 ◽

2005 ◽

Vol 63 (4) ◽

pp. 642

Author(s):

Luigi C. Berselli ◽

Giovanni P. Galdi

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Space Time ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations

Download Full-text

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

Download Full-text

Existence of steady very weak solutions to Navier-Stokes equations with non-Newtonian stress tensors

Journal of Differential Equations ◽

10.1016/j.jde.2020.12.038 ◽

2021 ◽

Vol 279 ◽

pp. 10-45

Author(s):

Claudiu Mîndrilă ◽

Sebastian Schwarzacher

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stress Tensors

Download Full-text

Weak solutions of the stationary Navier–Stokes equations for a viscous incompressible fluid past an obstacle

Mathematische Annalen ◽

10.1007/s00208-012-0861-6 ◽

2012 ◽

Vol 356 (2) ◽

pp. 653-681 ◽

Cited By ~ 9

Author(s):

Horst Heck ◽

Hyunseok Kim ◽

Hideo Kozono

Keyword(s):

Incompressible Fluid ◽

Weak Solutions ◽

Stokes Equations ◽

Viscous Incompressible Fluid ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

Download Full-text