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Volumn 273, Issue 3, 2007, Pages 785-801

Partial regularity of solutions to the four-dimensional Navier-Stokes equations at the first blow-up time

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EID: 34347240410     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0259-6     Document Type: Article
Times cited : (41)

References (24)
  • 1
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-stokes equations
    • Caffarelli, L., Kohn, R., Nirenberg, L.: Partial regularity of suitable weak solutions of the Navier-stokes equations. Comm. Pure Appl. Math. 35, 771-831 (1982)
    • (1982) Comm. Pure Appl. Math , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 2
    • 85157056078 scopus 로고    scopus 로고
    • Cannone, M.: A generalization of a theorem by Kato on Navier-Stokes equations. R. Mat. Iberoam 13, 515-541 (1997)
    • Cannone, M.: A generalization of a theorem by Kato on Navier-Stokes equations. R. Mat. Iberoam 13, 515-541 (1997)
  • 4
    • 84950020948 scopus 로고
    • 3 with measures as initial vorticity and Morrey spaces
    • 3 with measures as initial vorticity and Morrey spaces. Commun. Part. Differ. Eqs. 14, 577-618 (1989)
    • (1989) Commun. Part. Differ. Eqs , vol.14 , pp. 577-618
    • Giga, Y.1    Miyakawa, T.2
  • 5
    • 0021897767 scopus 로고
    • r of the Navier-Stokes initial value problem
    • r of the Navier-Stokes initial value problem. Arch. Rat. Mech. Anal. 89, 267-281 (1985)
    • (1985) Arch. Rat. Mech. Anal , vol.89 , pp. 267-281
    • Giga, Y.1    Miyakawa, T.2
  • 7
    • 0000509826 scopus 로고
    • The Navier-Stokes equations: On the existence, regularity and decay of solutions
    • Heywood, J.G.: The Navier-Stokes equations: on the existence, regularity and decay of solutions. Indiana Univ. Math. J. 29, 639-681 (1980)
    • (1980) Indiana Univ. Math. J , vol.29 , pp. 639-681
    • Heywood, J.G.1
  • 8
    • 0033484071 scopus 로고    scopus 로고
    • The resolution of the Navier-Stokes equations in anisotropic spaces
    • Iftimie, D.: The resolution of the Navier-Stokes equations in anisotropic spaces. Rev. Mat. Iberoam 15, 1-36 (1999)
    • (1999) Rev. Mat. Iberoam , vol.15 , pp. 1-36
    • Iftimie, D.1
  • 9
    • 0000911759 scopus 로고
    • m with applications to weak solutions
    • m with applications to weak solutions. Math. Z. 187, 471-480 (1984)
    • (1984) Math. Z , vol.187 , pp. 471-480
    • Kato, T.1
  • 10
    • 0035863969 scopus 로고    scopus 로고
    • Well-posedness for the Navier-Stokes equations
    • Koch, H., Tatara, D.: Well-posedness for the Navier-Stokes equations. Adv. Math. 157(1), 22-35 (2001)
    • (2001) Adv. Math , vol.157 , Issue.1 , pp. 22-35
    • Koch, H.1    Tatara, D.2
  • 13
    • 0013198034 scopus 로고    scopus 로고
    • On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
    • Ladyzhenskaya, O., Seregin, G.A.: On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. J. Math. Fluid Mech. 1, 356-387 (1999)
    • (1999) J. Math. Fluid Mech , vol.1 , pp. 356-387
    • Ladyzhenskaya, O.1    Seregin, G.A.2
  • 14
    • 0003068173 scopus 로고
    • Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
    • Leray, J.: Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique. J. Math. Pures Appl. 12, 1-82 (1933)
    • (1933) J. Math. Pures Appl , vol.12 , pp. 1-82
    • Leray, J.1
  • 15
    • 0032344639 scopus 로고    scopus 로고
    • A new proof of the Caffarelli-Kohn-Nirenberg theorem
    • Lin, F.: A new proof of the Caffarelli-Kohn-Nirenberg theorem. Comm. Pure Appl. Math. 51, 241-257 (1998)
    • (1998) Comm. Pure Appl. Math , vol.51 , pp. 241-257
    • Lin, F.1
  • 17
    • 84972517978 scopus 로고
    • Partial regularity of solutions to the Navier-Stokes equations
    • Scheffer, V.: Partial regularity of solutions to the Navier-Stokes equations. Pacific J. Math. 66, 535-552 (1976)
    • (1976) Pacific J. Math , vol.66 , pp. 535-552
    • Scheffer, V.1
  • 18
    • 0002117826 scopus 로고
    • Hausdorff measure and the Navier-Stokes equations
    • Scheffer, V.: Hausdorff measure and the Navier-Stokes equations. Commun. Math. Phys. 55, 97-112 (1977)
    • (1977) Commun. Math. Phys , vol.55 , pp. 97-112
    • Scheffer, V.1
  • 19
    • 0002465925 scopus 로고
    • The Navier-Stokes equations in space dimension four
    • Scheffer, V.: The Navier-Stokes equations in space dimension four. Commun. Math. Phys. 61, 41-68 (1978)
    • (1978) Commun. Math. Phys , vol.61 , pp. 41-68
    • Scheffer, V.1
  • 20
    • 0001881423 scopus 로고
    • The Navier-Stokes equations on a bounded domain
    • Scheffer, V.: The Navier-Stokes equations on a bounded domain. Commun. Math. Phys. 73, 1-42 (1980)
    • (1980) Commun. Math. Phys , vol.73 , pp. 1-42
    • Scheffer, V.1
  • 21
    • 0000169262 scopus 로고
    • On the interior regularity of weak solutions of Navier-Stokes equations
    • Serrin, J.: On the interior regularity of weak solutions of Navier-Stokes equations. Arch. Rat. Mech. Anal. 9, 187-195 (1962)
    • (1962) Arch. Rat. Mech. Anal , vol.9 , pp. 187-195
    • Serrin, J.1
  • 22
    • 34347224952 scopus 로고
    • Estimates of solutions to the linearized systems of the Navier-Stokes equations. Trudy Steklov Math. Inst
    • Solonikov, V.A.: Estimates of solutions to the linearized systems of the Navier-Stokes equations. Trudy Steklov Math. Inst. LXX, 213-317 (1964)
    • (1964) LXX , vol.213-317
    • Solonikov, V.A.1
  • 23
    • 0000830871 scopus 로고
    • Analysis on Money spares and applications to Navier-Stokes equation
    • Taylor, M.: Analysis on Money spares and applications to Navier-Stokes equation. Comm. Part. Differ. Eqs. 17, 1407-1456 (1992)
    • (1992) Comm. Part. Differ. Eqs , vol.17 , pp. 1407-1456
    • Taylor, M.1
  • 24
    • 52149087623 scopus 로고    scopus 로고
    • Higher order estimates in further dimensions for the solutions of Navier-Stokes equations. Evolution equations (Warsaw, 2001), Banach Center Publ. 60, Warsaw: Polish Acad
    • Wiegner, M.: Higher order estimates in further dimensions for the solutions of Navier-Stokes equations. Evolution equations (Warsaw, 2001), Banach Center Publ. 60, Warsaw: Polish Acad. Sci., 2003, pp 81-84
    • (2003) Sci , pp. 81-84
    • Wiegner, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.