메뉴 건너뛰기




Volumn 21, Issue 3, 2008, Pages 717-728

On partial regularity for the Navier-Stokes equations

Author keywords

Hausdorff dimension; Navier Stokes equation; Navier Stokes equations; Partial regularity; Singular set

Indexed keywords


EID: 45849147737     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2008.21.717     Document Type: Article
Times cited : (52)

References (15)
  • 1
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • L. Caffarelli, R. Kohn and L. Nirenberg, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math., 35 (1982), 771-831.
    • (1982) Comm. Pure Appl. Math , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 2
  • 3
    • 84944818416 scopus 로고
    • Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen
    • E. Hopf, Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen, Math. Nachr., 4 (1951), 213-231.
    • (1951) Math. Nachr , vol.4 , pp. 213-231
    • Hopf, E.1
  • 4
    • 0013198034 scopus 로고    scopus 로고
    • On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
    • O. A. Ladyzhenskaya and G. A. Seregin, On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations, Math. Fluid Mech., 1 (1999), 356-387.
    • (1999) Math. Fluid Mech , vol.1 , pp. 356-387
    • Ladyzhenskaya, O.A.1    Seregin, G.A.2
  • 5
    • 33746011979 scopus 로고    scopus 로고
    • Recent Developments in the Navier-Stokes Problem
    • Chapman & Hall/CRC, Boca Raton, FL
    • P. G. Lemarié-Rieusset, "Recent Developments in the Navier-Stokes Problem," Chapman & Hall/CRC Research Notes in Mathematics, vol. 431, Chapman & Hall/CRC, Boca Raton, FL, 2002.
    • (2002) Chapman & Hall/CRC Research Notes in Mathematics , vol.431
    • Lemarié-Rieusset, P.G.1
  • 6
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math., 63 (1934), 193-248.
    • (1934) Acta Math , vol.63 , pp. 193-248
    • Leray, J.1
  • 7
    • 0032344639 scopus 로고    scopus 로고
    • A new proof of the Caffarelli-Kohn-Nirenberg theorem
    • F. Lin, A new proof of the Caffarelli-Kohn-Nirenberg theorem, Comm. Pure Appl. Math., 51 (1998), 241-257.
    • (1998) Comm. Pure Appl. Math , vol.51 , pp. 241-257
    • Lin, F.1
  • 8
    • 0038513594 scopus 로고    scopus 로고
    • Conditions for the local boundedness of solutions of the Navier-Stokes system in three dimensions
    • M. O'Leary, Conditions for the local boundedness of solutions of the Navier-Stokes system in three dimensions, Comm. Partial Differential Equations, 28 (2003), 617-636.
    • (2003) Comm. Partial Differential Equations , vol.28 , pp. 617-636
    • O'Leary, M.1
  • 9
    • 84972517978 scopus 로고
    • Partial regularity of solutions to the Navier-Stokes equations
    • V. Scheffer, Partial regularity of solutions to the Navier-Stokes equations, Pacific J. Math., 66 (1976), 535-552.
    • (1976) Pacific J. Math , vol.66 , pp. 535-552
    • Scheffer, V.1
  • 10
    • 0008440446 scopus 로고
    • Turbulence and Hausdorff dimension
    • Proc. Conf, Univ. Paris-Sud, Orsay, 1975, Springer, Berlin
    • V. Scheffer, Turbulence and Hausdorff dimension, in "Proc. Conf., Univ. Paris-Sud, Orsay, 1975," Springer, Berlin, 1976, 174-183. Lecture Notes in Math., Vol. 565.
    • (1976) Lecture Notes in Math , vol.565 , pp. 174-183
    • Scheffer, V.1
  • 11
    • 0002117826 scopus 로고
    • Hausdorff measure and the Navier-Stokes equations
    • V. Scheffer, Hausdorff measure and the Navier-Stokes equations, Comm. Math. Phys., 55 (1977), 97-112.
    • (1977) Comm. Math. Phys , vol.55 , pp. 97-112
    • Scheffer, V.1
  • 12
    • 0000169262 scopus 로고
    • On the interior regularity of weak solutions of the Navier-Stokes equations
    • J. Serrin On the interior regularity of weak solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal., 9 (1962), 187-195.
    • (1962) Arch. Rational Mech. Anal , vol.9 , pp. 187-195
    • Serrin, J.1
  • 13
    • 0011944624 scopus 로고
    • Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes
    • H. Sohr, Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes, Math. Z., 184 (1983), 359-375.
    • (1983) Math. Z , vol.184 , pp. 359-375
    • Sohr, H.1
  • 14
    • 84990553438 scopus 로고
    • On partial regularity results for the Navier-Stokes equations
    • M. Struwe, On partial regularity results for the Navier-Stokes equations, Comm. Pure Appl. Math., 41 (1988), 437-458.
    • (1988) Comm. Pure Appl. Math , vol.41 , pp. 437-458
    • Struwe, M.1
  • 15
    • 0003887517 scopus 로고    scopus 로고
    • AMS Chelsea Publishing, Providence, RI, Theory and numerical analysis, Reprint of the 1984 edition
    • R. Temam, "Navier-Stokes Equations," AMS Chelsea Publishing, Providence, RI, 2001, Theory and numerical analysis, Reprint of the 1984 edition.
    • (2001) Navier-Stokes Equations
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.