메뉴 건너뛰기




Volumn 332, Issue 1, 2005, Pages 219-238

On smoothness of L 3,∞-solutions to the Navier-Stokes equations up to boundary

Author keywords

[No Author keywords available]

Indexed keywords


EID: 17444430349     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-004-0625-z     Document Type: Article
Times cited : (47)

References (15)
  • 1
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • Caffarelli, L., Kohn, R.-V., Nirenberg, L.: Partial regularity of suitable weak solutions of the Navier-Stokes equations. Commun. Pure Appl. Math. Vol. XXXV, 771-831 (1982)
    • (1982) Commun. Pure Appl. Math. , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.-V.2    Nirenberg, L.3
  • 3
    • 17444375761 scopus 로고    scopus 로고
    • Backward uniqueness for the heat operator in half space
    • Escauriaza, L., Seregin, G., Šverák, V.: Backward uniqueness for the heat operator in half space. Algebra and Analiz 15(1), 201-214 (2003)
    • (2003) Algebra and Analiz , vol.15 , Issue.1 , pp. 201-214
    • Escauriaza, L.1    Seregin, G.2    Šverák, V.3
  • 5
    • 0002460928 scopus 로고
    • p-estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
    • p-estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. J. Funct. Anal. 102, 72-94 (1991)
    • (1991) J. Funct. Anal. , vol.102 , pp. 72-94
    • Giga, Y.1    Sohr, H.2
  • 8
    • 0032344639 scopus 로고    scopus 로고
    • A new proof of the Caffarelly-Kohn-Nirenberg theorem
    • Lin, F.-H.: A new proof of the Caffarelly-Kohn-Nirenberg theorem. Comm. Pure Appl. Math. 51(3), 241-257 (1998)
    • (1998) Comm. Pure Appl. Math. , vol.51 , Issue.3 , pp. 241-257
    • Lin, F.-H.1
  • 9
    • 0042605839 scopus 로고
    • On the estimate of solutions of evolution Stokes problem in anisotropic Sobolev spaces with a mixed norm
    • Maremonti, P., Solonnikov, V. A.: On the estimate of solutions of evolution Stokes problem in anisotropic Sobolev spaces with a mixed norm. Zap. Nauchn. Sem. LOMI 223, 124-150 (1994)
    • (1994) Zap. Nauchn. Sem. LOMI , vol.223 , pp. 124-150
    • Maremonti, P.1    Solonnikov, V.A.2
  • 10
    • 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
  • 11
    • 0041603815 scopus 로고    scopus 로고
    • Some estimates near the boundary for solutions to the non-stationary linearized Navier-Stokes equations
    • Seregin, G. A.: Some estimates near the boundary for solutions to the non-stationary linearized Navier-Stokes equations. Zapiski Nauchn. Seminar. POMI 271, 204-223 (2000)
    • (2000) Zapiski Nauchn. Seminar. POMI , vol.271 , pp. 204-223
    • Seregin, G.A.1
  • 12
    • 0035631119 scopus 로고    scopus 로고
    • On the number of singular points of weak solutions to the Navier-Stokes equations
    • Seregin, G. A.: On the number of singular points of weak solutions to the Navier-Stokes equations. Commun. Pure Appl. Math. 54(8), 1019-1028 (2001)
    • (2001) Commun. Pure Appl. Math. , vol.54 , Issue.8 , pp. 1019-1028
    • Seregin, G.A.1
  • 13
    • 0041603848 scopus 로고    scopus 로고
    • Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
    • Seregin, G. A.: Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. J. Math, fluid Mech. 4(1), 1-29 (2002)
    • (2002) J. Math, Fluid Mech. , vol.4 , Issue.1 , pp. 1-29
    • Seregin, G.A.1
  • 14
    • 17444424350 scopus 로고    scopus 로고
    • Remarks on regularity of weak solutions to the Navier-Stokes equations near the boundary
    • Seregin, G. A.: Remarks on regularity of weak solutions to the Navier-Stokes equations near the boundary. Zapiski Nauchn. Seminar. POMI 295, 168-179 (2003)
    • (2003) Zapiski Nauchn. Seminar. POMI , vol.295 , pp. 168-179
    • Seregin, G.A.1
  • 15
    • 0042605840 scopus 로고    scopus 로고
    • The Navier-Stokes equations and backward uniqueness
    • Nonlinear Problems in Mathematical Physics II, In Honor of Professor O.A. Ladyzhenskaya
    • Seregin, G., Šverák, V.: The Navier-Stokes equations and backward uniqueness. Nonlinear Problems in Mathematical Physics II, In Honor of Professor O.A. Ladyzhenskaya, International Mathematical Series II, 2002, pp. 359-370
    • (2002) International Mathematical Series II , pp. 359-370
    • Seregin, G.1    Šverák, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.