Erratum to: Existence and Regularity of Very Weak Solutions of the Stationary Navier-Stokes Equations (Arch. Rational Mech. Anal., (2009), 193, (117-152), 10.1007/s00205-008-0168-7);Existence and regularity of very weak solutions of the stationary navier-stokes equations

Archive for Rational Mechanics and Analysis

Volumn 193, Issue 1, 2009, Pages 117-152

  Kim, Hyunseok ^a  

^a Sogang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67349176199     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-010-0310-1     Document Type: Erratum

References (22)

1. Bogovskiǐ, M.E.: Solution of the first boundary value problem for an equation of continuity of an incompressible medium, Dokl. Akad. Nauk SSSR 248 1037-1040 (1979, Russian); English Transl.: Soviet Math Dokl. 20 1094-1098 (1979)
2. L. Cattabriga 1961 Su un problema al contorno relativo al sistema di equazioni di Stokes Rend. Sem. Mat. Univ. Padova 31 308 340
3. C. Conca 1989 Stokes equations with nonsmooth data Rev. Math. Appl. 10 115 122
4. 2 J. Differ. Equ. 227 564 580
5. R. Farwig G.P. Galdi H. Sohr 2006 A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data J. Math. Fluid Mech. 8 423 444 (Pubitemid 44371215)
6. Galdi G.P.: An introduction to the mathematical theory of the Navier-Stokes equations. Vol 1: Linearized Steady Problems. Springer Tracts in Natural Philosophy, vol. 38. Springer, New York, 1994
7. Galdi G.P.: An introduction to the mathematical theory of the Navier-Stokes equations. Vol 2: Nonlinear Steady Problems. Springer Tracts in Natural Philosophy, vol. 39. Springer, New York, 1994
8. q -estimates for the Stokes problem in an exterior domain Arch. Ration. Mech. Anal. 112 291 318
9. -1/q,q Math. Ann. 331 41 74 (Pubitemid 40105966)
10. M. Geissert H. Heck M. Hieber 2006 On the equation div u = g and Bogovskiǐ's operator in Sobolev spaces of negative order Oper. Theory Adv. Appl. 168 113 121
11. C. Gerhardt 1979 Stationary solutions to the Navier-Stokes equations in dimension four Math. Z. 165 193 197
12. r -spaces Math. Z. 178 287 329
13. K. Kim H. Kozono 2006 A removable isolated singularity theorem for the stationary Navier-Stokes equations J. Differ. Equ. 220 68 84 (Pubitemid 41715494)
14. H. Kozono H. Sohr 1991 New a prioir estimates for the Stokes equations in exterior domains Indiana Univ. Math. J. 40 1 28
15. E. Hopf 1941 Ein allgemeiner endlichkeitsatz der Hydrodynamik Math. Ann. 117 764 775
16. O.A. Ladyzhenskaya 1959 Investigation of the Navier-Stokes equation for a stationary flow of an incompressible fluid Uspehi Mat. Nauk (3) 14 75 97
17. Ladyzhenskaya O.A.: The Mathemical Theory of Viscous Incompressible Flow. Gordon and Breach, New York (1969)
18. J. Leray 1933 Etude de Diverses équations intégrales non linéaires et de quelques probèmes que pose l' hydrodynamique J. Math. Pures Appl. 12 1 82
19. 2 boundary data. Appl. Math. Optim. 41, 365-375 (Pubitemid 30596847)
20. de Rham G.: Variétés différentiables. Hermann, Paris (1960)
21. D. Serre 1983 Equations de Navier-Stokes stationnaires avec données peu régulières Ann. Sci. Norm. Sup. Pisa (4) 10 543 559
22. Temam R.: Navier-Stokes equations: Theory and Numerical analysis. American Mathematical Society, Providence (2001)